Denis Blackmore - Publications

Affiliations: 
New Jersey Institute of Technology, Newark, NJ, United States 
Area:
Mathematics

72 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2015 Rohn E, Blackmore D. The augmented unified localizable crisis scale Technological Forecasting and Social Change. 100: 186-197. DOI: 10.1016/J.Techfore.2015.06.017  1
2015 Blackmore D, Prykarpatsky AK, Özçağ E, Soltanov K. Integrability Analysis of a Two-Component Burgers-Type Hierarchy Ukrainian Mathematical Journal. DOI: 10.1007/S11253-015-1072-6  1
2014 Blackmore D, Prykarpatski AK. Dark equations and their light integrability Journal of Nonlinear Mathematical Physics. 21: 407-428. DOI: 10.1080/14029251.2014.936760  1
2014 Blackmore D, Rosato A, Tricoche X, Urban K, Zou L. Analysis, simulation and visualization of 1D tapping via reduced dynamical models Physica D: Nonlinear Phenomena. 273: 14-27. DOI: 10.1016/J.Physd.2014.01.009  1
2014 Joshi Y, Blackmore D. Strange attractors for asymptotically zero maps Chaos, Solitons and Fractals. 68: 123-138. DOI: 10.1016/J.Chaos.2014.08.005  1
2013 Blackmore D, Prykarpatsky A. A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states Condensed Matter Physics. 16. DOI: 10.5488/Cmp.16.23701  1
2013 Blackmore D, Wang C. Morse Index For Autonomous Linear Hamiltonian Systems International Journal of Differential Equations and Applications. 7. DOI: 10.12732/Ijdea.V7I3.1258  0.56
2013 Blackmore D, Golenia J, Prykarpatsky AK, Prykarpatsky YA. Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations Ukrainian Mathematical Journal. 65: 47-63. DOI: 10.1007/S11253-013-0764-Z  1
2012 Blackmore D, Prykarpatsky AK, Prykarpatsky YA. Isospectral integrability analysis of dynamical systems on discrete manifolds Opuscula Mathematica. 32: 41-66. DOI: 10.7494/Opmath.2012.32.1.41  1
2012 Blackmore D, Prykarpatsky AK. The AKNS hierarchy revisited: A vertex operator approach and its lie-algebraic structure Journal of Nonlinear Mathematical Physics. 19. DOI: 10.1142/S1402925112500015  1
2012 Ratnaswamy V, Rosato AD, Blackmore D, Tricoche X, Ching N, Zuo L. Evolution of solids fraction surfaces in tapping: Simulation and dynamical systems analysis Granular Matter. 14: 163-168. DOI: 10.1007/S10035-012-0343-2  1
2011 Blackmore D, Rosato A, Tricoche X, Urban K, Ratnaswamy V. Tapping dynamics for a column of particles and beyond Journal of Mechanics of Materials and Structures. 6: 71-86. DOI: 10.2140/Jomms.2011.6.71  1
2010 Blackmore D, Urban K, Rosato A. Integrability analysis of regular and fractional Blackmore-Samulyak-Rosato fields Condensed Matter Physics. 13. DOI: 10.5488/Cmp.13.43403  1
2010 Zhou J, Vas A, Blackmore D. Fractal geometry surface modeling and measurement for musical cymbal surface texture design and rapid manufacturing Key Engineering Materials. 437: 145-149. DOI: 10.4028/Www.Scientific.Net/Kem.437.145  1
2009 Prykarpatsky AK, Blackmore D. A solution set analysis of a nonlinear operator equation using a Leray-Schauder type fixed point approach Topology. 48: 182-185. DOI: 10.1016/J.Top.2009.11.017  1
2009 Blackmore D, Rahman A, Shah J. Discrete dynamical modeling and analysis of the R-S flip-flop circuit Chaos, Solitons and Fractals. 42: 951-963. DOI: 10.1016/J.Chaos.2009.02.032  1
2009 Wang X, Blackmore D, Wang C. The ω-limit sets of a flow and periodic orbits Chaos, Solitons and Fractals. 41: 2690-2696. DOI: 10.1016/J.Chaos.2008.10.004  1
2009 Gafiychuk V, Datsko B, Meleshko V, Blackmore D. Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations Chaos, Solitons and Fractals. 41: 1095-1104. DOI: 10.1016/J.Chaos.2008.04.039  1
2009 Blackmore D, Goullet A, Brøns M. Two-vortex models for vortex breakdown 2008 Proceedings of the Asme Dynamic Systems and Control Conference, Dscc 2008. 519-526.  1
2009 Wang C, Blackmore D, Wang X. Upper and lower solutions method for a superlinear duffing equation Communications On Applied Nonlinear Analysis. 16: 19-29.  1
2008 Blackmore D, Bose A, Petropoulos P. Frontiers of applied and computational mathematics: New Jersey Institute of Technology, USA, 19 - 21 May 2008 Frontiers of Applied and Computational Mathematics: New Jersey Institute of Technology, Usa, 19 - 21 May 2008. 1-258. DOI: 10.1142/7041  1
2008 Blackmore D, Brøns M, Goullet A. A coaxial vortex ring model for vortex breakdown Physica D: Nonlinear Phenomena. 237: 2817-2844. DOI: 10.1016/J.Physd.2008.05.012  1
2008 Blackmore D. Nonintegrable perturbations of two vortex dynamics Solid Mechanics and Its Applications. 6: 331-340.  1
2007 Blackmore D, Mileyko Y. Computational differential topology Applied General Topology. 8: 35-92. DOI: 10.4995/Agt.2007.1909  1
2007 Blackmore D, Ting L, Knio O. Studies of perturbed three vortex dynamics Journal of Mathematical Physics. 48. DOI: 10.1063/1.2428272  1
2007 Pillapakkam SB, Singh P, Blackmore D, Aubry N. Transient and steady state of a rising bubble in a viscoelastic fluid Journal of Fluid Mechanics. 589: 215-252. DOI: 10.1017/S0022112007007628  1
2007 Champanerkar J, Blackmore D. Pitchfork bifurcations of invariant manifolds Topology and Its Applications. 154: 1650-1663. DOI: 10.1016/J.Topol.2006.12.014  1
2007 Blackmore D, Peters TJ. Computational Topology Open Problems in Topology Ii. 493-545. DOI: 10.1016/B978-044452208-5/50049-1  1
2006 Abdel-Malek K, Yang J, Blackmore D, Joy K. Swept volumes: Fundation, perspectives, and applications International Journal of Shape Modeling. 12: 87-127. DOI: 10.1142/S0218654306000858  1
2005 Blackmore D, Champanerkar J, Wang C. A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion Discrete and Continuous Dynamical Systems - Series B. 5: 15-33. DOI: 10.3934/Dcdsb.2005.5.15  1
2005 Blackmore D, Kraus E, Tung C. Preface Vortex Dominated Flows: a Volume Celebrating Lu Ting's 80th Birthday. xiii-xxvii. DOI: 10.1142/9789812703439_fmatter  1
2005 Blackmore D, Champanerkar J. Periodic and quasiperiodic motion of point vortices Vortex Dominated Flows: a Volume Celebrating Lu Ting's 80th Birthday. 21-51. DOI: 10.1142/9789812703439_0002  1
2005 Blackmore D, Kraus E, Tung C. Vortex dominated flows: A volume celebrating Lu Ting’s 80th birthday Vortex Dominated Flows: a Volume Celebrating Lu Ting's 80th Birthday. 1-269. DOI: 10.1142/5816  1
2005 Blackmore D. New models for chaotic dynamics Regular and Chaotic Dynamics. 10: 307-321. DOI: 10.1070/RD2005v010n03ABEH000317  1
2005 Zhou Y, Wang C, Blackmore D. The uniqueness of limit cycles for Liénard system Journal of Mathematical Analysis and Applications. 304: 473-489. DOI: 10.1016/J.Jmaa.2004.09.037  1
2005 Aboobaker N, Blackmore D, Meegoda J. Mathematical modeling of the movement of suspended particles subjected to acoustic and flow fields Applied Mathematical Modelling. 29: 515-532. DOI: 10.1016/J.Apm.2004.09.013  1
2005 Blackmore D, Knio O, Ting L. Perturbed three point vortex problems 3rd M.I.T. Conference On Computational Fluid and Solid Mechanics. 594-597.  1
2003 Aboobaker N, Meegoda JN, Blackmore D. Fractionation and segregation of suspended particles using acoustic and flow fields Journal of Environmental Engineering. 129: 427-434. DOI: 10.1061/(Asce)0733-9372(2003)129:5(427)  1
2003 Mykytiuk YV, Prykarpatsky AK, Blackmore D. The Lax solution to a Hamilton-Jacobi equation and its generalizations: Part 2 Nonlinear Analysis, Theory, Methods and Applications. 55: 629-640. DOI: 10.1016/J.Na.2003.08.004  1
2003 Blackmore D, Ting L. Vorticity jumps across shock surfaces Computational Fluid and Solid Mechanics 2003. 847-849. DOI: 10.1016/B978-008044046-0.50207-4  1
2002 Chen J, Blackmore D. On the exponentially self-regulating population model Chaos, Solitons and Fractals. 14: 1433-1450. DOI: 10.1016/S0960-0779(02)00074-7  1
2001 Blackmore D, Chen J, Perez J, Savescu M. Dynamical properties of discrete Lotka-Volterra equations Chaos, Solitons and Fractals. 12: 2553-2568. DOI: 10.1016/S0960-0779(00)00214-9  1
2001 Abdel-Malek K, Yang J, Blackmore D. On swept volume formulations: Implicit surfaces Cad Computer Aided Design. 33: 113-121. DOI: 10.1016/S0010-4485(00)00065-8  1
2001 Leu MC, Maiteh BY, Blackmore D, Fu L. Creation of freeform solid models in virtual reality Cirp Annals - Manufacturing Technology. 50: 73-76. DOI: 10.1016/S0007-8506(07)62074-5  1
2001 Zhou JG, Blackmore D. Analysis and modeling of engineering surfaces and their interactions using fractal geometry International Journal of Smart Engineering System Design. 3: 159-173.  1
2000 Blackmore D, Knio O. KAM theory analysis of the dynamics of three coaxial vortex rings Physica D: Nonlinear Phenomena. 140: 321-348. DOI: 10.1016/S0167-2789(99)00223-7  1
2000 Wang W, Hsu CTT, Blackmore D. Generalized formulation for strip yielding model with variable cohesion and its analytical solutions International Journal of Solids and Structures. 37: 7533-7546. DOI: 10.1016/S0020-7683(99)00293-0  1
2000 Blackmore D, Knio O. Transition from quasiperiodicity to chaos for three coaxial vortex rings Zamm Zeitschrift Fur Angewandte Mathematik Und Mechanik. 80. DOI: 10.1002/Zamm.20000801344  1
2000 Prykarpatsky AK, Blackmore DL. On the lax solution to the Hamilton-Jacobi equation. Part I Journal of Mathematical Sciences. 99: 1541-1547.  1
1999 Prykarpatsky AK, Blackmore D. Versal deformations of a dirac type differential operator Journal of Nonlinear Mathematical Physics. 6: 246-254. DOI: 10.2991/Jnmp.1999.6.3.1  1
1999 Blackmore D, Samulyak R, Rosato A. New mathematical models for particle flow dynamics Journal of Nonlinear Mathematical Physics. 6: 198-221. DOI: 10.2991/Jnmp.1999.6.2.6  1
1999 Prykarpatsky A, Blackmore D, Bogoliubov NN. Hamiltonian Structure of Benney Type Hydrodynamic and Boltzmann-Vlasov Kinetic Equations on an Axis and Some Applications to Manufacturing Science Open Systems and Information Dynamics. 6: 335-373. DOI: 10.1023/A:1009642025051  1
1999 Prykarpatsky Y, Samoilenko AM, Blackmore D. Imbeddings of integral submanifolds and associated adiabatic invariants of slowly perturbed integrable Hamiltonian systems Reports On Mathematical Physics. 44: 171-182. DOI: 10.1016/S0034-4877(99)80158-X  1
1999 Blackmore D, Samulyak R, Leu MC. Trimming swept volumes Cad Computer Aided Design. 31: 215-223. DOI: 10.1016/S0010-4485(99)00017-2  1
1998 Blackmore D, Zhou JG. Fractal analysis of height distributions of anisotropic rough surfaces Fractals. 6: 43-58. DOI: 10.1142/S0218348X98000067  1
1998 Blackmore D, Zhou G. A new fractal model for anisotropic surfaces International Journal of Machine Tools and Manufacture. 38: 551-557. DOI: 10.1016/S0890-6955(97)00101-6  1
1998 Leu MC, Lu F, Blackmore D. Simulation of NC machining with cutter deflection by modelling deformed swept volumes Cirp Annals - Manufacturing Technology. 47: 441-445. DOI: 10.1016/S0007-8506(07)62870-4  1
1997 Blackmore D, Leu MC, Wang LP. The sweep-envelope differential equation algorithm and its application to NC machining verification Cad Computer Aided Design. 29: 629-637. DOI: 10.1016/S0010-4485(96)00101-7  1
1997 Leu MC, Wang L, Blackmore D. A verification program for 5-axis NC machining with general APT tools Cirp Annals - Manufacturing Technology. 46: 419-X88. DOI: 10.1016/S0007-8506(07)60856-7  1
1996 Blackmore D, Zhou JG. A general fractal distribution function for rough surface profiles Siam Journal On Applied Mathematics. 56: 1694-1719. DOI: 10.1137/S0036139995283122  1
1996 Blackmore D, Kappraff J. Integrable discrete dynamics and fibonacci sequences Zamm Zeitschrift Fur Angewandte Mathematik Und Mechanik. 76: 49-52.  1
1995 Zhou G, Leu M, Blackmore D. Fractal geometry modeling with applications in surface characterisation and wear prediction International Journal of Machine Tools and Manufacture. 35: 203-209. DOI: 10.1016/0890-6955(94)P2374-O  1
1995 Leu MC, Blackmore D, Wang LP, Pak KG. Implementation of SDE method to represent cutter swept volumes in 5-axis NC milling Proceedings of Spie - the International Society For Optical Engineering. 2620: 354-364.  1
1994 Blackmore D, Leu MC, Shih F. Analysis and modelling of deformed swept volumes Computer-Aided Design. 26: 315-326. DOI: 10.1016/0010-4485(94)90077-9  1
1994 Blackmore D. Simple dynamical models for vortex breakdown of the B-type Acta Mechanica. 102: 91-101. DOI: 10.1007/Bf01178520  1
1993 Zhou GY, Leu MC, Blackmore D. Fractal geometry model for wear prediction Wear. 170: 1-14. DOI: 10.1016/0043-1648(93)90345-M  1
1992 Blackmore D, Leu MC. Analysis of Swept Volume via Lie Groups and Differential Equations The International Journal of Robotics Research. 11: 516-537. DOI: 10.1177/027836499201100602  1
1992 Blackmore D, Leu MC, Wang KK. Application of Flows and Envelopes to NC Machining Cirp Annals - Manufacturing Technology. 41: 493-496. DOI: 10.1016/S0007-8506(07)61252-9  1
1990 Blackmore D, Leu MC. A differential equation approach to swept volumes . 143-149.  1
1988 Blackmore D. Chaos in a simple identification/counter model Journal of the Franklin Institute. 325: 95-105. DOI: 10.1016/0016-0032(88)90048-8  1
1986 Blackmore D. The mathematical theory of chaos Computers and Mathematics With Applications. 12: 1039-1045. DOI: 10.1016/0898-1221(86)90439-6  1
1985 Rajaram L, Blackmore D. DECONVOLUTION TECHNIQUES IN CARDIOVASCULAR SYSTEM ANALYSIS Ieee/Engineering in Medicine and Biology Society Annual Conference. 1271.  1
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