Denis Blackmore

Books

Kappraff, J. and Blackmore, D., Mathematics for Design, NJIT Publ., Newark, 1979.

Rosato, A. and Blackmore, D., eds., IUTAM Symposium: Segregation in Granular Flows, Kluwer, Dordrecht, 2000.

Blackmore, D., Krause, E., Tung, C., eds., Vortex Dominated Flows – A Volume Celebrating Lu Ting’s Eightieth Birthday, World Scientific, Singapore, 2005.

Blackmore, D. Bose, A., Petropoulos, P., eds., Proceedings of FACM’08 Dedicated to D. S. Ahluwalia on his Seventy-Fifth Birthday, World Scientific, Singapore, 2008. (Dec.)

Blackmore, D., Prykarpatsky, A., Samoylenko, V., Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis, World Scientific, Singapore, 2011

Book Chapters

Blackmore, D., Topological characterization of isolated singularities of infinite-dimensional complex hypersurfaces, General Topology and Applications, S. Andima, R. Kopperman, P. Misra, J. Reichman and A. Todd (eds.), Marcel Dekker, New York, 1991, pp. 1-17.

Jiang, H., Blackmore, D. and Leu, M.C., The flow approach to CAD/CAM modeling of swept volumes, Advances in Manufacturing Systems: Design, Modeling and Analysis, R. Sodhi (ed.), Elsevier, Amsterdam, 1994, pp. 341-346.

Blackmore, D. and Dave, R., Chaos in one-dimensional granular flows with oscillating boundaries, Powders & Grains 97, R. Behringer and J. Jenkins (eds.), Balkema, Rotterdam, 1997, pp. 409-412.

Blackmore, D., Collaborated with authors on chapter five, Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds, by A. Prykarpatsky and I. Mykytiuk, Kluwer, Dordrecht, 1998.

Kappraff, J., Blackmore, D. and Adamson, G., Phyllotaxis as a dynamical system: a study in number, Symmetry in Plants, R. Jean and D. Barabé (eds.), World Scientific, Singapore, 1998, pp. 409-458.

Blackmore, D. and Champanerkar, J., Periodic and quasiperiodic motion of point vortices, Vortex Dominated Flows, D. Blackmore, E. Krause and C. Tung (eds.), World Scientific, Singapore, 2005, pp. 21-42.

Blackmore, D., Mileyko, Y., Leu, M.C., Regli, W. and Sun, W., Computational topology and swept volumes, Geometric and Algorithmic Aspects of Computer-Aided Design and Manufacturing, R. Janardan, M. Smid and D. Dutta (eds.), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 67, American Mathematical Society, Providence, 2005, pp. 53-78. (Sept.)

Blackmore, D. and Peters, T.J., Computational topology, Open Problems in Topology II, E. Pearl (ed.), Elsevier, Amsterdam, 2007, pp. 493-545. (March)

Blackmore, D. and Wang, C., Recent advances in periodicity in dynamical systems, Advances in Mathematical Research, Vol. 15, Nova Science Publ., NY, 2011, pp 1- 47. (June)

Refereed Journal Papers

Blackmore, D., Flows about a critical point with a single zero characteristic root, J. Diff. Eqs. 13 (1973), 403-431.

Blackmore, D., On the local normalization of a vector field at a degenerate critical point, J. Diff. Eqs. 14 (1973), 338-359.

Blackmore, D., An example of a local flow on a manifold, Proc. Amer. Math. Soc. 42 (1974), 208-213.

Blackmore, D., On the index sum of a vector field, Topology 4 (1980), 401-415.

Blackmore, D., The describing function for bounded nonlinearities, IEEE Trans. Circuits Syst. 28 (1981), 442-447.

Blackmore, D. and Ting, L., Surface integral of its mean curvature, SIAM Rev. 27 (1985), 569-572.

Blackmore, D., The mathematical theory of chaos, J. Comp. and Maths. with Appls. 12B (1986), 1039-1045.

Blackmore, D., Chaos in a simple counter/identification model, J. Franklin Inst. 325 (1988), 95-105.

Kristol, D., Stackhouse, J., Blackmore, D. and Odak, S., Development of a dentin bonding agent: correlation of bond strength to microleakage, Innov. Tech. Med. 10 (1989), 210-219.

Blackmore, D. and Leu, M.C., Analysis of swept volume via Lie groups and differential equations, Int. J. Robot. Res. 11 (1992), 516-537.

Leu, M.C., Blackmore, D. and Wang, K.K., Applications of flows and envelopes to NC machining, Annals of CIRP 41 (1992), 493-496.

Zhou, G., Leu, M.C. and Blackmore, D., Fractal geometry model for wear prediction, Wear 170 (1993), 91-101.

Blackmore, D., Simple dynamical models for vortex breakdown of B-type, Acta Mech. 102 (1994), 91-101.

Blackmore, D., Leu, M.C. and Shih, F., Analysis and modelling of deformed swept volume, Computer-Aided Design 26 (1994), 315-326.

Prykarpatsky, A., Blackmore, D., Strampp, W., Sydorenko, Yu. and Samulyak, R., Some remarks on Lagrangian and Hamiltonian formalisms for infinite-dimensional dynamical systems with symmetries, Condensed Matter Phys. 6 (1995), 79-104.

Blackmore, D. and Kappraff, J., Integrable discrete dynamics and Fibonacci sequences, ZAMM 76 S (1996), 49-52.

Blackmore, D. and Zhou, G., A general fractal distribution function for rough surface profiles, SIAM J. Appl. Math. 56 (1996), 1694-1719.

Prykarpatsky, A., Blackmore, D. and Bogolubov (Jr.), N., Swept volume dynamical systems and their kinetic models, Ukr. Math. J. 48 (1996), 1620-1627.

Blackmore, D., Prykarpatsky, A., Prytula, M. and Kopych, M., Transversal splitting of the separatrix manifolds of a generalized Henon-Heiles Hamiltonian system, Proc. Nat. Acad. Sci. Ukr. 11 (1996), 52-54.

Deng, Z., Leu, M.C., Wang, L.P. and Blackmore, D., Determination of flat-end cutter orientation in 5-axis machining, ASME J. Manufacturing Science & Engineering MED 6 (1996), 73-80.

Blackmore, D., Leu, M.C., Wang, L.P. and Jiang, H., Swept volumes: a retrospective and prospective view, Neural, Parallel & Scientific Computations 5 (1997), 81-102.

Prykarpatsky, A., Hentosh, O. and Blackmore, D., The finite-dimensional Moser type reduction of modified Boussinesq and super-KdV Hamiltonian systems, J. Nonlin. Math. Phys. 4 (1997), 455-469.

Blackmore, D., Leu, M.C. and Wang, L.P., The sweep-envelope differential equation algorithm and its application to NC machining verification, Computer-Aided Design 29 (1997), 629-637.

Leu, M.C., Wang, L.P. and Blackmore, D., A verification program for 5-axis NC machining with general APT tools, Annals of CIRP 46 (1997), 419-424.

Prykarpatsky, A., Zagrodzinski, J. and Blackmore, D., Lax type flows on Grassmann manifolds and dual momentum maps, Rep. Math. Phys. 40 (1997), 539-549.

Hentosh, O., Prykarpatsky, Y. and Blackmore, D., Geometric structure of integrable flows on Grassmann manifolds, Math. Studies 24 (1997), 202-218,

Leu, M.C., Lu, F. and Blackmore, D., Simulation of NC machining with cutter deflection by modelling deformed swept volume, Annals of CIRP 47 (1998), 441-446.

Blackmore, D., Prykarpatsky, Y. and Samulyak, R., The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra, J. Nonlin. Math. Phys. 5 (1998), 54-67.

Blackmore, D. and Zhou, G., A new fractal model for anisotropic surfaces, Int. J. Mach. Tools Manufact. 38 (1998), 551-557.

Blackmore, D. and Zhou, G., Fractal analysis of height distributions of anisotropic rough surfaces, Fractals 6 (1998), 43-58.

Blackmore, D., Samulyak, R. and Rosato, A., New mathematical models for particle flow dynamics, J. Nonlin. Math. Phys. 6 (1999), 198-221.

Blackmore, D., Samulyak, R. and Leu, M.C., Trimming swept volumes, Computer-Aided Design 31 (1999), 215-223.

Prykarpatsky, Y., Samoilenko, A.M. and Blackmore, D., Imbeddings of integral submanifolds and associated adiabatic invariants of slowly perturbed integrable Hamiltonian systems, Rep. Math. Phys. 44 (1999), 171-182.

Prykarpatsky, A. and Blackmore, D., Versal deformation of a Dirac type differential operator, J. Nonlin. Math. Phys. 6 (1999), 246-254.

Maiteh, B., Leu, M.C., Blackmore, D. and Abdel-Malek, L., Swept volume computation for machining simulation and virtual reality application, J. Materials Processing & Manufacturing Science 7 (1999), 380-390.

Bogolubov (Jr.), N., Prykarpatsky, A. and Blackmore, D., Swept volume dynamical systems and their kinetic models, Comm. Math. Mech. Ukr. Acad. Sci. 2 (1999), 291-305.

Blackmore, D. and Knio, O., KAM theory analysis of the dynamics of three coaxial vortex rings, Physica D 140 (2000), 321-348.

Blackmore, D. and Knio, O., Transition from quasiperiodicity to chaos for three coaxial vortex rings, ZAMM 80 S (2000), 173-176.

Blackmore, D., Samulyak, R. and Leu, M.C., A singularity theory approach to swept volumes, Int. J. Shape Modeling 6 (2000), 105-129.

(40)Wang, W., Hsu, C.T. and Blackmore, D., Geometrical formulation for strip yielding model with variable cohesion and its analytical solution, Int. J. Solids Struc. 37 (2000), 7533-7546.

Prykarpatsky, A., Stochel, J. and Blackmore, B., On versal deformation of a Sturm-Liouville type super-differential operator via Marsden-Weinstein reduction, Math. Methods & Physicomechanical Fields 43 (2000), 7-11.

Abdel-Malek, K., Yang, J. and Blackmore, D., On swept volume formulations: implicit surfaces, Computer-Aided Design 33 (2001), 113-121.

Leu, M.C., Maiteh, B., Blackmore, D. and Fu, L., Creation of freeform solid models in virtual reality, Annals of CIRP 50 (2001), 73-76.

Blackmore, D. and Knio, O., Hamiltonian structure for vortex filament flows, ZAMM 81S (2001), 145 - 148.

Prykarpatsky, A., Blackmore, D. and Bogolubov (Jr.), N., Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov kinetic equations on an axis and some applications to manufacturing science, J. Open Systems & Information Dynamics 6 (1999), 335-373.

Prykarpatsky, A., Mykytiuk, I. and Blackmore, D., On the Lax solution to a Hamilton-Jacobi equation and its generalizations. Part 2, Nonlin. Anal. 55 (2003), 629-640. (Nov.)

Rosato, A., Blackmore, D., Zhang, N. and Lan, Y., A perspective on vibration-induced size segregation of granular materials, J. Chem. Eng. Science. 57 (2002), 265-275. (Jan)

Zhou, G. and Blackmore, D., Analysis and modeling of engineering surfaces and their interactions using fractal geometry, Int. J. Smart Eng. Sys. Design Des. 3 (2001), 159-173.

Blackmore, D., Chen, J., Perez, J. and Savescu, M., Dynamical properties of discrete Lotka-Volterra equations, Chaos, Solitons and Fractals 12 (2001), 2553-2568.

Chen, J. and Blackmore, D., On the exponentially self-regulating population model, Chaos, Solitons and Fractals 14 (2002), 1433-1450. (Dec.)

Aboobaker, N., Meegoda, J. and Blackmore, D., Fractionation and segregation of suspended particles using acoustic and flow fields, ASCE J. Environmental Eng. 129 (2003), 427-434 (May)

Prykarpatsky, N., Blackmore, D., Prykarpatsky, A. and Pytel-Kudela, M., On the inf-type extremality solutions to the Hamilton-Jacobi equations, their regularity properties, and some generalizations, Miskolc Math. Notes 4 (2003), 157-180. (Nov.)

Blackmore, D. and Wang, C., Morse index for autonomous linear Hamiltonian systems, Int. J. Diff. Eqs. and Appl. 7 (2003), 295-309 (Dec)

Blackmore, D. and Prykarpatsky, A., On a class of factorized operator dynamical systems and their integrability, Math. Methods and Phys. Mech. Fields 46 (2003), 120-134. (Dec)

Rosato, A., Blackmore, D., Buckley, L., Johnson, M. and Oshman, C., Experimental, simulation and nonlinear dynamics analysis of Galton's board, Int. J. Nonlinear Science and Numerical Simulation 5 (2004), 289-312. (Nov.)

Prykarpatsky, A., Samoilenko, A. and Blackmore, D., The Hopf algebras and the Heisenberg-Weil Coalgebra related integrable flows, Ukr. J. Math. 56 (2004), 88-96. (Feb.)

Samoilenko, A., Prykarpatsky, Y., Blackmore, D. and Prykarpatsky, A., On Liouville-Arnold integrable flows related to quantum algebras and their Poissonian representations, Proc. Ukr. Acad. Sciences 50 (2004), 1184-1191. (Mar.)

Blackmore, D., Prykarpatsky, A., and Prykarpatsky, Y., Symplectic field theory approach to studying ergodic measures related with nonautonomous Hamiltonian systems,” CUBO Math. J. 6 (2004), 19-28.

Samoilenko, A., Prykarpatsky, Y., Taneri, U., Prykarpatsky, A. and Blackmore, D., A geometrical approach to quantum holonomic computing algorithms, Math. & Computers in Simulation 66 (2004), 1-20. (July)

Blackmore, D., Wang, C. and Champanerkar, J., A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion, Discrete and Continuous Dyn. Systems B 5 (2005), 15-33. (Feb.)

Zhou, Y., Wang, C. and Blackmore, D., The uniqueness of limit cycles for Liénard system, J. Math. Anal. Appl. 304 (2005), 473-489. (May)

Aboobaker, N., Blackmore, D. and Meegoda, J., Mathematical modeling of the movement of suspended particles subjected to acoustic and flow fields, Applied Math. Modeling 29 (2005), 515-532 (June)

Blackmore, D., New models for chaotic dynamics, Regular & Chaotic Dynamics (Special Poincaré 150^th Anniversary Issue) 10 (2005), 307-321. (July)

Prykarpatsky, Y., Samoilenko, A., Blackmore, D. and Prykarpatsky, A., Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: the modern differential-geometric aspects, Miskolc Math. Notes 6 (2005), 65-103. (July)

Blackmore, D., Prykarpatsky, Y., Samoilenko, A., and Prykarpatsky, A., The ergodic measures related to nonautonomous Hamiltonian systems and their homology structure. Part 1, CUBO 7 (2005), 49-63. (Dec.)

Abdel-Malek, K., Yang, J., Blackmore, D. and Joy, K., Swept volumes: foundations, perspectives and applications, Int. J. Shape Modeling 12 (2006), 87-127. (July)

Blackmore, D., Prykarpatska, N., Samoilenko, V., Wachnicki, E. and M. Pytel-Kudela, The Cartan-Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders, Nonlinear Oscillations 10 (2007), 22 -31. (Jan.)

Champanerkar, J. and Blackmore, D., Pitchfork bifurcations of invariant manifolds, Topology and Its Applications 154 (2007), 1650-1663. (April)

Blackmore, D. and Mileyko, Y., Computational differential topology, Appl. Gen. Topology 8, No. 1 (2007), 35-92. (May).

Blackmore, D., Ting, L. and Knio, O., Studies of perturbed three vortex dynamics, J. Math. Phys. 48 (2007), 065402 (30 pages). (June)

Pillapakkam, S., Singh, P., Blackmore, D., and Aubry, N., Transient and steady state motion of rising bubble in a viscoelastic fluid, J. Fluid Mech. 589 (2007), 215-252. (Nov.)

Bogolubov (Jr.), N., Blackmore, D., Samoylenko, V. and Prykarpatsky, A., On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity, Opuscula Mathematica 27 (2007), 187-195. (Nov.)

Blackmore, D., Brøns, M. and Goullet, A., A coaxial vortex ring model for vortex breakdown, Physica D 237 (2008), 2817-2844. (Nov.)

Gafiychuk, V., Datsko, B., Meleshko, V. and Blackmore, D., Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations, Chaos, Solitons and Fractals 41 (2009), 1095-1104 (June).

Blackmore, D., Rahman, A. and Shah, J., Discrete dynamical modeling and analysis of the R-S flip-flop circuit, Chaos, Solitons and Fractals 42 (2009), 951-963. (May)

Wang, C., Blackmore, D. and Wang, X., Upper and lower solutions method for a superlinear Duffing equation, Commun. Appl. Nonlin. Anal. 16 (2009), 19-29. (July)

Wang, X., Blackmore, D., and Wang, C., The ω-limit sets of a flow and periodic orbits, Chaos, Solitons and Fractals 41 (2009), 2690-2696. (Sept.)

Rohn, E. and Blackmore, D., A unified localizable emergency events scale, Int. J. Information Sys. for Crisis Response & Management (IJISCRAM) 1 (2009), 1-14. (Oct.)

Prykarpatsky, A. and Blackmore, D., A solution set analysis of a nonlinear operator equation using a
Leray-Schauder type fixed point approach, Topology 48 (2009), 182-185. (Dec.)

Zhou, J., Vas, A. and Blackmore, D., Fractal geometry surface modeling and measurement for musical cymbal surface texture design and rapid manufacturing, Periodical of Key Engineering Materials 437, Measurement Technology and Intelligent Instruments IX, (2010), 145-149. (March)

Joshi, Y. and Blackmore, D., Bifurcation and chaos in higher dimensional pioneer-climax systems, Int’l. Electronic J. Pure and Appl. Math. 1 (3) (2010), 303-337. (August)

Blackmore, D., Urban, K. and Rosato, A., Integrability analysis of regular and fractional Blackmore-Samulyak-Rosato fields, Condensed Matter Phys. 13 (2010), 43403: 1-7. (Dec.)

Blackmore, D., Rosato, A., Tricoche, X., Urban, K. and Ratnaswamy, V., Tapping dynamics for a column of particles and beyond, J. Mech. Materials & Structures 6 (2011), 71-86 (June)

Blackmore, D., Prykarpatsky, Y., Golenia, J. and Prykarpatsky, A., The AKNS hierarchy and the Gurevich--Zybin dynamical system integrability revisited, Math. Bull. Shevchenko Scientific Soc. 8 (2011), 258-282. (Dec.)

Blackmore, D., Prykarpatsky A. and Prykarpatsky Y., Isospectral integrability analysis of dynamical systems on discrete manifolds, Opuscula Math. 32 (1) (2012), 41-66. (Jan)

Blackmore, D. and Prykarpatsky, A., The AKNS hierarchy revisited: A vertex operator approach and its Lie-algebraic structure, J. Nonlin. Math. Phys. (in press).

Joshi, Y. and Blackmore, D., Exponentially decaying discrete dynamical systems, Recent Patents on Space Tech. 2 (1) (2012), 37-48. (April).

Ratnaswamy, V., Rosato, A., Blackmore, D.,Tricoche, X., Ching, N. and Zuo, L., Evolution of solids fraction surfaces in tapping: Simulation and dynamical systems analysis, Granular Matter 14 (2012), 169-174. (May)

Prykarpatsky, Y., Blackmore, D., Golenia, J. and Prykarpatsky, A., A vertex operator representation of solutions to a Gurevich—Zybin hydrodynamical system, Opuscula Math. (to appear)

Refereed Conference Papers

Blackmore, D., Sufficient conditions for structural stability of diffeomorphisms, Proc. Warwick Conf. on Dynamical Systems, Vol. 1, Springer-Verlag, Berlin, 1976, pp. 215-218.

Blackmore, D., On local normal forms for diffeomorphisms, Proc. Warwick Conf. on Dynamical Systems, Vol. 2, Springer-Verlag, 1977, pp. 102-106.

Blackmore, D., A singularity theory approach to describing functions, Proc. 50^th Annual Meeting Soc. Nat. Philos., 1979, pp. 313-319.

Blackmore, D. and Cooper, M., Normal forms for isolated hypersurface singularities, Proc. Princeton Conf. on Several Complex Variables, E. Fornaess (ed.), Springer-Verlag, Berlin, 1982, pp. 321-338.

Rajaram, L. and Blackmore, D., Deconvolution techniques in cardiovascular system analysis, Proc. IEEE Engineering and Biology Society Conf., 1985, p. 1271.

Blackmore, D. and Leu, M.C., A differential equations approach to swept volumes, Proc. Rennselaer’s 2^nd Int. Conf. on Computer Integrated Manufacturing, SME, 1990, pp. 143-149.

Blackmore, D., Leu, M.C. and Wang, W., Classification and analysis of robot swept volumes, Proc. 1992 Japan-USA Sympos. on Flexible Automation, 1992, pp. 69-75.

Blackmore, D., Infinite-dimensional deformations and Milnor fibrations, Proc. 1992 Summer Conf. on Topology, 1992, pp. 15-24.

Blackmore, D., Leu, M.C. and Jiang, H., Modeling swept solids using sweep differential techniques, Proc. Conf. on Solid Modeling, 1993, pp. 46-55.

Leu, M.C. and Blackmore, D., Application of the sweep differential equation method to multiaxis NC machining, Proc. Sino-German Sympos. on Precision and High-Speed Manufacturing Technology, 1993, pp. 159-169.

Blackmore, D., Leu, M.C. and Qin, D., Improved flow approach for swept volumes, Proc. 1994 Japan-USA Sympos. on Flexible Automation, 1994, pp. 1191-1198.

Shih, F., Blackmore, D. and Gaddipati, V., Error analysis of surface fitting for swept volumes, Proc. 1994 Japan-USA Sympos. on Flexible Automation, 1994, pp. 733-738.

Deng, Z., Leu, M.C. and Blackmore, D., Application of sweep differential equation approach to nonholonomic motion planning, Proc. 1994 Japan-USA Sympos. on Flexible Automation, 1994, pp. 1025-1034.

Leu, M.C., Blackmore, D., Pak, K. and Wang, L.P., Implementation of the SDE method to represent cutter swept volumes in 5-axis NC milling, Proc. Int. Conf. on Intelligent Manufacturing, Wuhan, China, 1995, pp. 212-220.

Deng, Z., Leu, M.C., Wang, L.P. and Blackmore, D., Determination of flat-end cutter orientation in 5-axis machining, Proc. ASME Symp. on Rapid Response Manufacturing, 1996, pp. 21-29.

Drobotska, I., Prykarpatsky, A. and Blackmore, D., Functionally constrained variational analysis in nonlinear dynamical systems theory, Proc. Conf. on Nonlinear Analysis Problems, 1996, pp. 31-35.

Deng, Z., Leu, M.C. and Blackmore, D., Application of SDE to 5-axis sculptured surface machining, Proc. 3^rd Int. Conf. on Automation Technology, 1996, pp. 104-112.

Prykarpatsky, A.K., Blackmore, D. and Hentosh, O., The finite-dimensional Moser type reductions of modified Boussinesq and super Korteweg-de Vries Hamiltonian systems via the gradient holonomic algorithm and dual momentum map, in T. Gill (ed.), Proc. Int'l. Conf. on New Frontiers in Physics, vol. 11, Institute for Basic Research, Monteroduni, Italy, Hadronic Press, 1996, pp. 271-292

Wang, L.P., Leu, M.C. and Blackmore, Kinematics analysis of 5-axis milling machine and its application to NC verification, Proc. Int. Conf. on Manufacturing Automation, Hong Kong, April 28-30, 1997, pp. 327-333.

Wang, L.P., Leu, M.C. and Blackmore, D., Swept volume approach as an integral part of a 5-axis NC milling CAD/CAM system, Proc. Int. Conf. on Manufacturing Automation, Hong Kong, April 28-30, 1997, pp. 402-409.

Wang, L.P., Leu, M.C. and Blackmore, D., Generating swept solids for NC verification using the SEDE method, Proc. Fourth ACM Sympos. on Solid Modeling and Applications, Atlanta, May 14-16, 1997, pp. 267-276.

Prykarpatsky, A., Blackmore, D. and Bogolubov (Jr.), N., A new integrable nonlinear Schrödinger type dynamical system, Proc. 7^th Int. Scientific Kravchuk Conf., Kyiv, Ukraine, 1998, pp. 414-415.

Zhou, G. and Blackmore, D., Fractal geometry modeling and simulation for engineering surfaces, Proc. Young Scientists Conf. on Manufacturing Science, Wuhan, China, 1998, pp. 429-433.

Prykarpatsky, A., Stochel, J. and Blackmore, D., Versal deformations of a Sturm-Liouville type super-differential operator, Proc. Int. Res. Conf. on Modern Problems of Math., Chenivtsi, Ukraine, 1998, pp. 232-237.

Blackmore, D., Samulyak, et al. (1998). Granular flow in hoppers and vibrating beds: Mathematical models, numerical solutions and computer simulations. Proc. of the 1998 AIChe Annual Meeting, Miami, FL, American Institute of Chemical Engineers, 1998.

Prykarpatsky, A. and Blackmore, D., On the Lax solution to a Hamilton-Jacobi equation and its generalizations. Part 1, Proc. Int. Conf. on Partial Differential Equations, Praha, Czech Republic, 1998, pp. 234-242.

Leu, M.C., Blackmore, D. and Maiteh, B., Deformed swept volume analysis of NC machining with cutter deflection, Machining Impossible Shapes, B.K. Choi and R. Jerard, eds., Kluwer, Boston, 1999, pp. 158-166.

Blackmore, D., Quasi-optimal paths in automated assembly, Int. Conf. on Quality Manufacturing, Stellenbosch, South Africa, Jan. 13-15, 1999, pp. 23-27.

Blackmore, D., Samulyak, R., Rosato, A. and Dave, R., Dynamics of a two species oscillating particle system, Segregation in Granular Flows, A. Rosato and D. Blackmore, eds., Kluwer, Dordrecht, 2000, pp. 255-268 .

Prykarpatsky, A., Blackmore, D., Bogolubov (Jr.), N. and Samoilenko, V., On the Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov axial kinetic equations, Proc. Conf. on Diff. Eqs. in Honor of N. N. Bogolubov, Kyiv, 1999, pp. 59-82.

Maiteh, B., Leu, M.C., Blackmore, D., Liu, G. and Abdel-Malek, L., Swept volume computation for virtual reality application of NC machining, Proc. ASME Sympos. on Virtual Environments for Manufacturing, University of Illinois at Chicago, Nov. 1-2, 1999, pp. 1-9.

Abdel-Malek, K., Yang, J. and Blackmore, D., Closed form-swept volume of implicit surfaces, Proc. 26^th ASME Design Eng. Tech. Conf., Johns Hopkins University, Sept., 2000, pp. 1-6.

Aboobaker, N., Meegoda, J. and Blackmore, D., Fractionation and segregation of suspended particles using acoustic and flow fields, Proc. 32^nd Mid-Atlantic Industrial and Hazardous Waste Conf., Technomic, 2000, pp. 659-668.

Aboobaker, N., Meegoda, J. and Blackmore, D., Analysis of fractionation of sediments caused by an acoustic field, Proc. Int. Conf. on Computer Methods and Advances in Geomechanics, C. Desai (ed.), Balkema, Rotterdam, Vol.1, 2001, pp. 775-780.

Blackmore, D., Samulyak, R. and Rosato, A., Chaos in vibrating granular flows, Proc. Dynamic. Systems and Applications 3 , G. Ladde, N. Medhin and M. Sambandham (eds.), Dynamic Publ., Inc., Atlanta, 2001, pp. 77-84.

Blackmore, D. and Ting, L., Higher order conditions for weak shocks: modified Prandtl relation, PAMM 1, 2002, pp. 397-398. (online)

Blackmore, D. and Knio, O., A Hamiltonian approach to vortex breakdown, Proc. Euromech Colloquium No. 433: Dynamics of Trailing Vortices, Aachen, Germany, March 2002 (online).

Blackmore, D. and Ting, L., Interaction of shocks and weak vorticity fields, Proc. Fifth World Cong. on Comp. Mech., Vienna, Austria, July 2002 (online).

Ting, L. and Blackmore, D., Higher order shock conditions for curved shocks in unsteady flows, Proc. Fourth Int. Conf. on Nonlinear Mechanics, Shanghai, China, Aug. 2002, pp. 160-164.

Blackmore, D., Hamiltonian analysis of vortex filaments, Proc. Fourth Int. Conf. on Nonlinear Mechanics, Shanghai, China, Aug. 2002, pp. 807-813.

Blackmore, D., Taneri, U. and Prykarpatsky, A., Quantum coherent transform of Lax-integrable Hamiltonian systems: quantum computing, Proc. SCI 2002, Orlando, Florida, Aug. 2002, pp. 350-360.

Blackmore, D., Basiura, R., Prykarpatsky, A. and Soroka, O., On a class of factorized operator dynamical systems and their integrability, Proc. SCI 2002, Orlando, Florida, Aug. 2002, pp. 406-501.

Blackmore, D. and Ting, Vorticity jumps across shock surfaces, Proc. 2^nd MIT Conf. on Computational Fluid and Solid Mechanics, Vol. 1, K.J. Bathe, ed., Elsevier, Amsterdam, 2003, pp. 847-849.

Prykarpatsky, A., Taneri, U. and Blackmore, D., Quantum holonomic computing via Lax type flows on Grassmanian manifolds and the dual momentum mappings, Proc. Symmetry in Nonlinear Mathematical Physics, Kyiv, Ukraine, June 23-29, 2003, pp. 128-135.

Blackmore, D. and Champanerkar, J., Some new extensions of the Poincaré-Birkhoff theorem, Proc. Conf. on Dynamical Systems - Theory and Applications, Łódź, Poland, Dec. 8-11, 2003, pp. 13-24.

Blackmore, D., Champanerkar, J. and Levandowsky, M., Complexity measures for ecological assemblages, Proc. Int. Conf. on Complex Systems (ICCS'04), Boston, May 16-21, 2004, pp. 220-228.

Ting, L. and Blackmore, D., Bifurcations of motions of three vortices and applications, ICTAM04 Abstracts and CD-ROM Proceedings, W. Gutkowski and T. Kowalewski, eds., Aug. 15-21, 2004, Warsaw, Poland, IPPT PAN, Warsaw, 2004, p. 189.

Blackmore, D., Ting, L. and Knio, O., Perturbed three point vortex problems, Proc. 3^nd MIT Conf. on Computational Fluid and Solid Mechanics, Vol. 1, K.J. Bathe, ed., Elsevier, Amsterdam, 2005, pp. 594-597.

Zhang, W., Leu, M.C., Peng, X. and Blackmore, D., Accuracy and computational complexity analysis of design model created by virtual scuplting, Proc. of 2005 IMECE, Orlando, FL, Nov. 5-11, 2005, pp. 63-69.

Pillapakkam, S., Singh, P., Blackmore, D. and Aubry, N., Analysis of the motion and deformation of a bubble rising in a viscoelastic fluid, Proc. FEDSM2006, July 2006, Miami, FL, 2006, pp. 67-72.

Blackmore, D., Nonintegrable perturbations of two vortex dynamics, Proc. IUTAM Sympos. on Hamiltonian Dynamics, Vortex Structures and Turbulence, Moscow, Aug. 2006, A. Borisov, V. Koslov, I. Mamaev, and M. Sokolovsky (eds.), Springer, Berlin, 2007, pp. 202-212. (Dec.)

Ting, L., Knio, O. and Blackmore, D., Dynamics of planar vortex clusters with binaries, Proc. ICIAM'07, Zurich, Switzerland, PAMM 7 (2008), pp. 1101501-1101502 (online) (Dec.)

Blackmore, D., Ting, L. and Knio, O., Invariant tori in perturbed three vortex motion, Proc. ICIAM'07, Zurich, Switzerland, PAMM 7 (2008), pp. 1101507-1101508 (online) (Dec.)

Zhou, G., Vas, A., Blackmore, D., Mulero, R., Tan, J., Lyman, J., and Roukous, D., CAD/CAM for a musical cymbal generated from a fractal geometry model, Proc. ASME MSEC Sympos. On Advances in Rapid Manufacturing Technologies for Metal Parts, June 25-29, 2007, Honolulu, Hawaii, CAD & Appl. 4 (2007), pp. 53-60.

Knio, O., Ting, L. and Blackmore, D., Simulation of dynamics of binary and ternary vortex clusters, Proc. ICCES’08, Honolulu, Hawaii, March 2008, Tech Science Press (online), pp. 120-121.

Blackmore, D., Brøns, M. and Goullet, A., Two-vortex models for vortex breakdown, Proc. ASME 2008 Dynamics Systems and Control Conf., Oct. 20-22, 2008, Ann Arbor, Michigan, 2008. Paper No. DSCC2008-180. (to appear).

Prykarpatsky, A. and Blackmore, D., Analysis of a nonlinear operator equation using a Leray-Schauder type theorem point approach, Proc. Workshop on Infinite Dimensional Functional Analysis and Topology (IDAT), Yaremczha City, Ukraine, Sept., 2009, pp 46-50.

Prykarpatsky, A. and Blackmore, D., On new invariants in MHD and a related helicity theorem, Proc.Dubrovin Int. Conf. on Geometrical Methods in Math. Phys., Moscow State University, Russia, 12-17 Dec., 2011, SIGMA (online), pp 46-50. (58)

Blackmore, D., Tricoche, X. and Rosato, A., Dynamical Systems-Simulation-Visualization Approach to Tapping and Other Granular Flow Phenomena: First Steps, Proc. NSF CMMI Grantees Conference, Atlanta, Georgia, Jan. 4-7, 2011, 10 pages.

Non-Refereed Conference Papers

Blackmore, D. and Leu, M.C., Representation of sweeps and swept volumes via differential equations, Proc. 1992 NSF Design and Manufacturing Grantees Conf., 1992, pp. 731-735.

Blackmore, D. and Leu, M.C., Application and implementation of the sweep differential equation method, Proc. 1993 NSF Design and Manufacturing Grantees Conf., 1993, pp. 1411-1418.

Blackmore, D. and Leu, M.C., Further developments of the SDE approach, Proc. 1994 NSF Design and Manufacturing Grantees Conf., 1994, pp. 63-64.

Blackmore, D., Extensions and generalizations of the SDE method, Proc. 1997 NSF Design and Manufacturing Grantees Conf., 1997, pp. 120-121.

Blackmore, D., A new method for computing swept volumes, Proc. 1998 NSF Design and Manufacturing Grantees Conf., 1998, pp. 485-486.

Blackmore, D., Leu, M.C., Regli and Sun, W., Accuracy and stability of swept volume representations, Proc. NSF/DARPA CARGO Grantees Workshop, June, 2003, Santa Rosa, CA (online).

Reports (selected examples)

Blackmore, D., Exceptional Minimal Sets for Diffeomorphisms and Flows, CAMS Tech. Rep., 1987.

Blackmore, D., Describing Function Analysis of Bounded Discontinuous Autonomous Systems, CAMS Tech. Rep., 1988.

Blackmore, D. and Ting, L., Minimal Geodesic Triangulations of the n-Sphere, CAMS Tech. Rep., 1989.

Leu, M.C. and Blackmore, D., Analysis and Representation of Swept Volume via Lie Groups and Differential Equations, Robotics and Automation Research Tech. Rep.-021, 1990.

Prykarpatsky, A., Blackmore, D., Strampp, W., Sydorenko, Yu. and Samulyak, R., On Lagrangian and Hamiltonian Formalisms for Infinite-Dimensional Dynamical Systems with Symmetries, CAMS Tech. Rep., 1997.

Blackmore, D. and Leu, M.C., Analysis of Sweep Classes: an Application of Differential Topology to Manufacturing Science, CAMS Tech. Rep., 1997.

Bogolubov (Jr.), N, Prykarpatsky, A. and Blackmore, D., On Benney Type Hydrodynamical Systems and Their Boltzmann-Vlasov Equations Kinetic Models, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, Preprint #IC/2006/006

Prykarpatsky, A., Blackmore, D. and Bogolubov (Jr.), N., The Lie-Algebraic Structures and Integrability of Differential and Differential-Difference Nonlinear Dynamical Systems, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, Preprint #IC/2007/029

Prykarpatsky, Y., Samoilenko, A., Prykarpatsky, A., Bogolubov (Jr.), N. and Blackmore, D., The Differential-Geometric Aspects of Integrable Dynamical Systems, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, Preprint #IC/2007/030.

Ting. L., Knio, O. and Blackmore, D., Critical solution of three vortex motion in the parabolic case, arXiv:0807.0454v1 (2008) (July)

D. Blackmore, Notes on the Tittel-Berndt Filter Fabric Model, Prepared for Unique Wire Weaving Co. and Published in ASTM WK23197 - New Guide for Industrial Woven Wire Filter Cloth, 2010.

Bogolubov (Jr.), Prykarpatsky, Y., Blackmore, D. and Prykarpatsky, A., Lagrangian and Hamiltonian

Analysis of Infinite-dimensional Dynamical Systems, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, Preprint #IC/2010/090. (July, 2011)

Bogolubov (Jr.), Kyshakevych, B., Blackmore, D. and Prykarpatsky, A., Optimal Strategy Analysis of

Competing Portfolio Market with a Polyvariant Profit Function, Abdus Salam International Centre for

Theoretical Physics, Trieste, Italy, Preprint #IC/2010/098. (August, 2011)

Lustyk, M., Bogolubov (Jr.), Blackmore, D. and Prykarpatsky, A., Analysis of the Calogero Projection-Algebraic Scheme for Differential Operators, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, Preprint #IC/2010/097. (August, 2011)

Professional Presentations (selected examples)

Nongenericity in Dynamical Systems, Int. Congress of Mathematicians, Vancouver, B. C., Canada, 1974.

Structural Stability Theorems (invited), Northwestern University, 1975.

Pseudo-linearization of Diffeomorphisms (invited), Graduate Center of CUNY, 1977.

Normal Forms for Isolated Singularities (invited), Princeton University, 1979.

Topological Type of Nonisolated Singularities (invited), Special Session talk at 784^th Meeting of the AMS, University of Notre Dame, 1981.

Topological Equivalence of Real Singularities (invited), Special Session talk at 819^th Meeting of AMS, College of Holy Cross, 1985.

An Analysis of Vortex Breakdown, 1^st Int. Congress of Industrial and Appl. Math., Paris, France, 1987.

Global Vortex Breakdown Solutions, 2^nd Int. Congress of Industrial and Appl. Math., Washington, D.C., 1991.

Applications of Differential Topology to Manufacturing Engineering (invited), Rutgers University, 1991.

Fractals with some Applications to Surface Mechanics (invited), Mech. and Indust. Eng. Colloquium, NJIT, 1992.

Engineering Applications of Chaos Theory (invited), Civil and Environ. Eng. Seminar, NJIT, 1994.

New Fractal Models for Engineering Surfaces (invited), Int. Conf. on Engineering Surfaces and Metrology, Göteborg, Sweden, 1996.

Characterization of Versal Deformations of the Dirac Differential Operator, SIAM Annual Mtg., Stanford University, 1997.

Chaos in Granular Flows (invited), Third Int. Conf. on Dynamic Systems and Applications, Atlanta, 1999.

Regular and Chaotic Motions of Coaxial Vortex Rings (invited), The Johns Hopkins University, 1999.

Dynamics of Coaxial Vortex Rings (invited), Rensselaer Polytechnic Institute, Oct. 18, 1999.

Hamiltonian Structure for Vortex Filament Flows (invited), Annual Meeting of GAMM, Göttingen, Germany, April 2-7, 2000.

Hamiltonian Formulation of the Interaction between a Vortex Ring and a Sphere (invited), ECCOMAS 2000, Barcelona, Spain, Sept. 11-14, 2000.

A Hamiltonian Approach to Vortex Filament - Obstacle Interactions (invited), Joint Mechanical Engineering - Mathematical Sciences Colloquium, NJIT, Oct. 18, 2000.

Higher Order Conditions for Weak Shocks: Modified Prandtl Relation, GAMM 2001, Zurich, Switzerland, Feb. 12 -15, 2001.

A Hamiltonian Approach to Vortex Breakdown (invited), Euromech Colloquium on Dynamics of Trailing Vortices, Aachen, Germany, March 21-22, 2002.

Shock-Weak Vortex Filament Interaction (invited), Fifth World Congress on Computational Mechanics, Vienna, Austria, July 7-11, 2002.

Hamiltonian Analysis of Vortex Filament Dynamics (invited), Fourth International Congress on Nonlinear Mechanics and IUTAM Symposium on Duality-Complementarity-Symmetry in Nonlinear Mechanics, Shanghai, China, Aug. 14-17, 2002.

Periodic Motion for Coaxial Vortex Ring Configurations (invited), SIAM Snowbird Conference on Dynamical Systems, May, 2003.

Vorticity Jumps Across Shock Surfaces (invited), 2^nd MIT Conf. on Computational Fluid and Solid Mechanics, June, 2003.

Applications of the Computational Topology of Swept Volumes, DIMACS Workshop on Computational Geometry and Manufacturing, Oct. 2003, New Brunswick, NJ.

Some New Extensions of the Poincaré-Birkhoff Theorem and Their Applications (invited plenary lecture), Int. Conf. on Dynamical Systems-Theory and Applications, Dec. 8-11, 2003, Łódź, Poland.

Computing the Shape of Swept Volumes and Their Intersections (invited), Nov. 20, 2003, Drexel University Computer Science Seminar Series.

Swept Volumes from the Computational Topology Viewpoint (invited), April 22, 2004, University of Missouri-Rolla.

Stability of Coaxial Vortex Ring Motions (invited; joint work with L. Ting)), AIMS Conf., Cal Poly, Pomona, June 16-19, 2004.

Perturbations of Point and Ring Vortex Dynamics (invited; joint work with L. Ting), ICTAM Conf. on Fluid Mechanics, Warsaw, Poland, Aug., 2004.

Vortex Dynamics: Past Present and Future (invited), Oct. 2004, Physics Seminar, Wesleyan University, New Haven, CT.

Computational Topology: Where’s the Topology? (invited), Nov. 2004, Topology and Group Theory Seminar, CUNY.

Opportunities for Computer Science and Mathematics Synergy in the Representation of Geometric Objects (invited), Dec. 2004, Computer Science Colloquium, CUNY Graduate Center.

Perturbed Three Point Vortex Problems (invited), June 2005, Minisymposium on Vortex Dominated Flows, Third MIT Conf. on Computational Fluid and Solid Mechanics.

Differential Computational Topology, (invited plenary speaker), July 14, 2005, NSF Workshop on Computational Topology, Denison University.

Computational Topology of Projected Objects (invited), Oct. 24, 2005, Minisymposium on Computational Topology in Bioscience and Industry, SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Detroit, Michigan,.

Simple Dynamical Models of Complex Granular Flow, (invited), Oct. 31, 2005, Colloquium Series: Granular and Multiphase Flows, Sponsored by MRC and Granular Science Laboratory, Mechanical Engineering, NJIT.

Chaos and Mixing in Vortex Dominated Flows (invited), Feb. 27, 2006, Chemical Engineering Graduate Seminar, NJIT.

Recurrent Motions for Perturbed Three Vortex Dynamics (invited), Special Session on Theoretical Studies and Engineering Applications of Vortical Flows, GAMM Annual Meeting, March 27-31, 2006, Berlin, Germany.

Nonintegrable Perturbations of Two Vortex Dynamics (invited), IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, and Turbulence, Aug. 27, 2006, Steklov Institute, Moscow, Russia.

Categories and Structures for Computational Topology (invited), Algorithms Seminar, Duke University, Oct. 23, 2006.

Neighborhoods for Computational Geometric Objects (invited), Special Session on Topology and Computing, AMS Meeting #1021, University of Connecticut, Oct. 28, 2006.

Equivalence of Computational Geometric Objects (invited), Topology Seminar, City College of New York, Nov. 16, 2006.

Effective Computability of Equivalence of Stratified Varieties (invited), Computer Science Colloquium, University of Connecticut, Dec. 1, 2006.

Adventures in Applied Mathematics (invited), Science Colloquium, Essex County Community College, Newark, NJ, March 7, 2007

Perturbations of Integrable Vortex Dynamics (invited), Mathematics Colloquium, University of South Alabama, Mobile, Alabama, March 22, 2007.

Computable Topological Consistency of Non-manifold Objects (invited), General Mathematics Seminar, Technical University of Denmark, Lyngby, Denmark, April 25, 2007.

Stability and Chaos in Vortex Dominated Flow Models (invited), Fluid Dynamics Seminar, Technical University of Denmark, Lyngby, Denmark, May 8, 2007.

Recent Results on Perturbed Three Vortex Dynamics (invited), Aerodynamisches Institüt, RWTH-Aachen, Aachen, Germany, May 10, 2007.

Invariant Tori in Perturbed Three Vortex Motion (invited), Minisymposium on Recent Advances in Vortex Dynamics, ICIAM’07, ETH, Zürich, Switzerland, July 18, 2007.

Two-Vortex Models for Vortex Breakdown (invited), ASME 2008 Dynamic Systems and Control Conf., University of Michigan, Oct. 20-23, 2008.

A New Hamiltonian Dynamical Paradigm for Vortex Breakdown (invited), Joint Mathematics and Mechanical Engineering Colloquium, Carnegie Mellon University, February 13, 2009.

Bifurcation of Invariant Manifolds in Discrete and Continuous Dynamical Systems (invited), Second Annual George Bachman Memorial Conference, St. Johns University, June 6, 7, 2009.

Dynamical Properties of Planar Point Vortex Clusters (invited), SIAM Snowbird Applied Dynamical Systems Conf., Snowbird, Utah, May 17-21, 2009.

A Planar Hamiltonian Model for Vortex Breakdown (invited), NJIT Summer Mathematical Sciences Seminar, June 25, 2009.

Approximations to Granular Relaxation Flows: Lattices, Limits, Infinite-dimensional Dynamical Systems and Solitons (invited), NJIT Applied Mathematics Colloquium, Feb. 5, 2010.

Swept Volumes and Computational Topology (invited), Texas Tech Mechanical Engineering Seminar, Texas Tech University, Lubbock, Texas, Oct. 22, 2010.

New Applications of Infinite-dimensional Dynamics to Granular Flows (invited), Mathematics Lecture Series, Wichita State University, Wichita, Kansas, April 1, 2011.

Infinite-dimensional Dynamics and Granular Flow, NJIT Summer Math. Science Seminar Series, June 27, 2011.

Hamiltonian Dynamical Systems: Applications to Vortex and Granular Dynamics (invited), Mathematical Fluid Dynamics Seminar, New Mexico State University, Las Cruces, New Mexico, Dec. 2, 2011.

Infinite-Dimensional Dynamical System Approximation of Granular Flow (invited plenary talk), Int’l. Conf. on Theory of Approximation of Functions and Its Applications, Ivan Ohienko National University, Kamianets-Podilsky, Ukraine, May 28-June 3, 2012.

Integrability of a New Class of Infinite-Dimensional Hamiltonian Systems (invited), Math. Division of Shevchenko Scientific Soc. Jubilee Workshop on Nonlinear Dynamical Systems and Lax Integrability, Ivan Franko University, Drohobych, Ukraine, June 4, 2012.

Infinite-dimensional Flow Field Models: Integrability, Wave Propagation, Vortex Invariants and Helicity Theorems (invited), Mathematics Seminar, AGH University of Science and Technology, Kraków, Poland, June 6, 2012.

Posters

M. Levandowsky, D. Blackmore, J. Champanerkar et al., Three Approaches to Biocomplexity Measures. Application to Protistan Data from the Meadowlands, Meadowlands Symposium, Oct. 9-10, 2003, Meadowlands Environmental Center, Lyndhurst, NJ.

A. Rosato, D. Blackmore, L. Buckley, C. Oshman and M. Johnson, Galton’s Board Dynamics, FACM'04, May 21-22, 2004, New Jersey Institute of Technology, Newark, NJ.

J. Champanerkar and D. Blackmore, Pitchfork Bifurcation of Submanifolds, FACM'04, May 21-22, 2004, New Jersey Institute of Technology, Newark, NJ.

Y. Mileyko and D. Blackmore, Intersections of Swept Manifolds, FACM'04, May 21-22, 2004, New Jersey Institute of Technology, Newark, NJ.

D. Blackmore and L. Ting, Bifurcation of Motion of Three Vortices, ICTAM'04, Aug. 15-21, 2004, Warsaw University of Technology, Warsaw, Poland.

D. Blackmore and J. Champanerkar, Quasiperiodic Dynamics of Point Vortices, FACM’05, May 13-15, 2005.

D. Blackmore, A. Rahman and J. Shah, Discrete Dynamical Modeling and Analysis of the R-S Flip-Flop Circuit, FACM’08, May 19-21, NJIT, 2008.

Y. Joshi and D. Blackmore, Dynamics of Discrete Population Models: Higher Dimensional Pioneer-Climax Models, FACM’08, May 19-21, NJIT, 2008.

M. Kaur and D. Blackmore, Acoustic and Fluid Flows on Perturbed Spherical Objects, FACM’08, May 19-21, NJIT, 2008.

Y. Joshi and D. Blackmore, Bifurcation and Chaos in Discrete Dynamical Hierarchical Pioneer-Climax Models , FACM’09, June 5-7, NJIT, 2009.

A. Rahman and D. Blackmore, Dynamics of Logical Circuits, FACM’10, May 21-23, NJIT, 2010.

D. Blackmore, A. Rosato, X. Tricoche and K. Urban, Tapping Dynamics: Theory and Applications, Gordon Research Conference on Granular Dynamics, Colby College, Maine, June 20-25, 2010.

D. Blackmore, A. Rosato and X. Tricoche, A Dynamical Systems-Simulation-Visualization Approach to Tapping and Other Granular Flow Phenomena: First Steps, NSF CMMI Grantees Conference, Atlanta, Georgia, Jan. 4-7, 2011.

Patents

B. Maiteh, M.C. Leu and D. Blackmore: Virtual Reality System for Creation of Design Models and Generation of Numerically Controlled Machining Trajectories, NJIT, Sept. 19, 2002 - # US 20020133264.