Edit Profile (opens in new tab) Blackmore, Denis L. Co-Author Distance Author ID: blackmore.denis-l Published as: Blackmore, Denis; Blackmore, D.; Blackmore, D. L.; Blackmore, Denis L. more...less Documents Indexed: 116 Publications since 1973, including 1 Book and 10 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 81 Co-Authors with 107 Joint Publications 1,678 Co-Co-Authors all top 5 Co-Authors 9 single-authored 53 Prykarpatsky, Anatoliy Karolevych 21 Prykarpatsky, Yarema Anatoliyovych 10 Rahman, Aminur 10 Samoĭlenko, Anatoliĭ Mykhaĭlovych 7 Bogolyubov, Nikolaĭ Nikolaevich jun. 6 Rosato, Anthony D. 5 Artemovych, Orest Dem”yanovych 5 Wang, Chengwen 4 Knio, Omar M. 4 Prytula, Mykola Mykolaĭovych 4 Ting, Lu 3 Champanerkar, Jyoti A. 3 Golenia, Jolanta 3 Hentosh, Oksana E. 3 Leu, Ming C. 3 Prykarpatska, Natalia K. 3 Pytel-Kudela, Marzenna 3 Samoĭlenko, Valeriĭ Grygorovych 3 Samulyak, Roman 3 Soltanov, Kamal N. 2 Abdel-Malek, Karim 2 Chen, Jerry 2 Hentosh, Oksana Ye. 2 Jordan, Ian 2 Kopych, M. I. 2 Kyshakevych, Bohdan Yu. 2 Mileyko, Yuriy 2 Mykytyuk, Yaroslav V. 2 Özçağ, Emin 2 Sen, Surajit 2 Singh, Pushpendra 2 Taneri, Ufuk 2 Wachnicki, Eugeniusz 2 Wang, Xiaoxia 2 Yang, Jingzhou 2 Zhou, Jack G. 1 Aboobaker, Nadeem 1 Amah, Edison C. 1 Artemowych, Orest D. 1 Aubry, Nadine 1 Ávalos, Edgar 1 1 Benouaguef, Islam 1 Bose, Amitabha 1 Brøns, Morten 1 Buckley, Liam 1 Datta, Amitava 1 Dutykh, Denys 1 Fischer, Ian S. 1 Gafiychuk, Vasyl V. 1 Gentosh, O. E. 1 Goullet, Arnaud 1 Hsu, Cheng-Tzu Thomas 1 Joy, Ken 1 Kappraff, Jay 1 Kopych, Myroslava 1 Krause, Egon Hermann Emil 1 Kycia, Radosław Antoni 1 Meegoda, Jay N. 1 Meleshko, V’yacheslav Volodymyrovych 1 Murthy, Karthik 1 Musunuri, Naga 1 Oshman, Christopher 1 Perez, John 1 Pillapakkam, Shriram B. 1 Pukach, Petro Ya. 1 Regli, William C. 1 Samulyak, R. V. 1 Savescu, Michelle 1 Shah, Jigar 1 Shih, Frank Yeong-Chyang 1 Sojitra, Parth 1 Stochel, Jerzy Bartłomiej 1 Sun, Wei 1 Tricoche, Xavier 1 Tung, Chee 1 Tverdokhlib, Ivan P. 1 Urban, Kevin 1 Wang, Wei 1 Zagrodzińsky, J. A. 1 Zhou, Yurong 1 Zou, Luo all top 5 Serials 10 Chaos, Solitons and Fractals 6 Journal of Nonlinear Mathematical Physics 4 Ukrainian Mathematical Journal 4 Matematychni Metody ta Fizyko-Mekhanichni Polya 3 Physica D 3 CAD. Computer-Aided Design 3 Opuscula Mathematica 3 Miskolc Mathematical Notes 3 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 2 Journal of Fluid Mechanics 2 Reports on Mathematical Physics 2 Journal of Differential Equations 2 SIAM Review 2 Dopovidi Akademiï Nauk Ukraïni 2 Neliniĭni Kolyvannya 2 Regular and Chaotic Dynamics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 International Journal of Solids and Structures 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physica A 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Geometry and Physics 1 IEEE Transactions on Circuits and Systems 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Topology 1 Topology and its Applications 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Fractals 1 Communications on Applied Nonlinear Analysis 1 International Journal of Shape Modeling 1 Open Systems & Information Dynamics 1 Matematychni Studiï 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Nonlinear Mathematical Physics 1 Kraĭovi Zadachi dlya Dyferentsial’nykh Rivnyan’ 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 International Journal of Differential Equations and Applications 1 Applied General Topology 1 Discrete and Continuous Dynamical Systems. Series B 1 Cubo 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Nonlinear Oscillations 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Communications in Theoretical Physics 1 International Electronic Journal of Pure and Applied Mathematics 1 Symmetry 1 Analysis and Mathematical Physics 1 Mathematics 1 Topological Algebra and its Applications 1 European Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 74 Dynamical systems and ergodic theory (37-XX) 27 Partial differential equations (35-XX) 22 Fluid mechanics (76-XX) 20 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 10 Nonassociative rings and algebras (17-XX) 10 Differential geometry (53-XX) 10 Mechanics of particles and systems (70-XX) 8 Computer science (68-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 4 Quantum theory (81-XX) 3 Associative rings and algebras (16-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 298 times in 209 Documents Cited by ▼ Year ▼ Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations. Zbl 1198.35123 Gafiychuk, V.; Datsko, B.; Meleshko, V.; Blackmore, D. 41 2009 Nonlinear dynamical systems of mathematical physics. Spectral and symplectic integrability analysis. Zbl 1298.37001 Blackmore, Denis; Prykarpatsky, Anatoliy K.; Samoylenko, Valeriy Hr. 37 2011 Dynamical properties of discrete Lotka-Volterra equations. Zbl 0999.39017 Blackmore, Denis; Chen, Jerry; Perez, John; Savescu, Michelle 15 2001 Lie-algebraic structure of Lax-Sato integrable heavenly equations and the Lagrange-d’Alembert principle. Zbl 1425.17036 Hentosh, Oksana E.; Prykarpatsky, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. 14 2017 On the exponentially self-regulating population model. Zbl 1031.92021 Chen, Jerry; Blackmore, Denis 11 2002 Transient and steady state of a rising bubble in a viscoelastic fluid. Zbl 1141.76337 Pillapakkam, Shriram B.; Singh, Pushpendra; Blackmore, Denis; Aubry, Nadine 8 2007 KAM theory analysis of the dynamics of three coaxial vortex rings. Zbl 0987.37060 Blackmore, Denis; Knio, Omar 8 2000 Swept volumes: fundation, perspectives, and applications. Zbl 1096.68753 Abdel-Malek, Karim; Yang, Jingzhou; Blackmore, Denis; Joy, Ken 7 2006 Trimming swept volumes. Zbl 1053.68755 Blackmore, Denis; Samulyak, Roman; Leu, Ming C. 7 1999 Analysis and modelling of deformed swept volumes. Zbl 0805.68128 Blackmore, Denis; Leu, Ming C.; Shih, Frank 7 1994 Dark equations and their light integrability. Zbl 1420.35016 Blackmore, Denis; Prykarpatski, Anatolij K. 7 2014 Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type. Zbl 1348.37101 Blackmore, Denis; Prykarpatsky, Yarema A.; Bogolubov, Nikolai N. jun.; Prykarpatski, Anatolij K. 6 2014 The finite-dimensional Moser type reduction of modified Boussinesq and super-Korteweg-de Vries Hamiltonian systems via the gradient-holonomic algorithm and dual moment maps. I. Zbl 0952.37024 Prykarpatsky, A. K.; Hentosh, O. E.; Blackmore, D. L. 6 1997 Neimark-Sacker bifurcations and evidence of chaos in a discrete dynamical model of walkers. Zbl 1372.37097 Rahman, Aminur; Blackmore, Denis 6 2016 Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems. Zbl 1420.35015 Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K. 6 2017 Studies of perturbed three vortex dynamics. Zbl 1144.81316 Blackmore, Denis; Ting, Lu; Knio, Omar 5 2007 New models for chaotic dynamics. Zbl 1076.37019 Blackmore, D. 5 2005 Lax-type flows on Grassmann manifolds and dual momentum mappings. Zbl 0939.37047 Prykarpatsky, A. K.; Zagrodzińsky, J. A.; Blackmore, D. L. 5 1997 Strange attractors for asymptotically zero maps. Zbl 1354.37027 Joshi, Yogesh; Blackmore, Denis 5 2014 Sigma map dynamics and bifurcations. Zbl 1384.37062 Rahman, Aminur; Joshi, Yogesh; Blackmore, Denis 4 2017 On the inf-type extremality solutions to Hamilton-Jacobi equations, their regularity properties, and some generalizations. Zbl 1053.35043 Prykarpatska, N. K.; Blackmore, D. L.; Prykarpatsky, A. K.; Pytel-Kudela, M. 4 2003 The uniqueness of limit cycles for Liénard system. Zbl 1078.34016 Zhou, Yurong; Wang, Chengwen; Blackmore, Denis 4 2005 A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion. Zbl 1075.37018 Blackmore, Denis; Champanerkar, Jyoti; Wang, Chengwen 4 2005 Pitchfork bifurcations of invariant manifolds. Zbl 1116.37018 Champanerkar, Jyoti; Blackmore, Denis 4 2007 A coaxial vortex ring model for vortex breakdown. Zbl 1155.76017 Blackmore, Denis; Brøns, Morten; Goullet, Arnaud 3 2008 Discrete dynamical modeling and analysis of the \(R-S\) flip-flop circuit. Zbl 1198.94204 Blackmore, Denis; Rahman, Aminur; Shah, Jigar 3 2009 On swept volume formulations: implicit surfaces. Zbl 1206.65042 Abdel-Malek, K.; Yang, J.; Blackmore, D. 3 2001 Theory of multidimensional Delsarte-Lions transmutation operators. I. Zbl 1442.58019 Samoilenko, A. M.; Prykarpatsky, Ya. A.; Blackmore, D.; Prykarpatsky, A. K. 3 2019 Dispersionless multi-dimensional integrable systems and related conformal structure generating equations of mathematical physics. Zbl 1460.17040 Hentosh, Oksana Ye.; Prykarpatsky, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. 3 2019 A geometrical approach to quantum holonomic computing algorithms. Zbl 1151.81320 Samoilenko, A. M.; Prykarpatsky, Y. A.; Taneri, Ufuk; Prykarpatsky, A. K.; Blackmore, D. L. 3 2004 Interesting bifurcations in walking droplet dynamics. Zbl 1453.37049 Rahman, Aminur; Blackmore, Denis 3 2020 The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra. Zbl 0952.37046 Blackmore, D. L.; Prykarpatsky, Y. A.; Samulyak, R. V. 3 1998 Versal deformations of a Dirac type differential operator. Zbl 1068.37046 Prykarpatsky, Anatoliy K.; Blackmore, Denis 3 1999 Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov kinetic equations on an axis and some applications to manufacturing science. Zbl 1014.37042 Prykarpatsky, A.; Blackmore, D.; Bogoliubov, N. N. jun. 3 1999 Flows about a critical point with a single zero characteristic root. Zbl 0241.34054 Blackmore, Denis L. 2 1973 The Lax solution to a Hamilton-Jacobi equation and its generalizations. II. Zbl 1029.35215 Mykytiuk, Ya. V.; Prykarpatsky, A. K.; Blackmore, D. 2 2003 Simple dynamical models for vortex breakdown of the \(B\)-type. Zbl 0814.76028 Blackmore, D. 2 1994 Integrability analysis of a two-component Burgers-type hierarchy. Zbl 1350.37074 Blackmore, D.; Prykarpatsky, A. K.; Özçağ, E.; Soltanov, K. 2 2015 A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy. Zbl 1413.35403 Samoilenko, Anatolij M.; Prykarpatskyy, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. 2 2018 Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators. Zbl 1433.17004 Artemovych, Orest D.; Prykarpatski, Anatolij K.; Blackmore, Denis L. 2 2018 New mathematical models for particle flow dynamics. Zbl 0993.76083 Blackmore, Denis; Samulyak, Roman; Rosato, Anthony 2 1999 Theory of multidimensional Delsarte-Lions transmutation operators. II. Zbl 1442.58020 Samoilenko, A. M.; Prykarpatsky, Ya. A.; Blackmore, D.; Prykarpatsky, A. K. 2 2019 A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation. Zbl 1272.58020 Prykarpatsky, Yarema A.; Blackmore, Denis; Golenia, Jolanta; Prykarpatsky, Anatoliy K. 2 2013 The AKNS hierarchy revisited: a vertex operator approach and its Lie-algebraic structure. Zbl 1253.37066 Blackmore, Denis; Prykarpatsky, Anatoliy K. 2 2012 Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations. Zbl 1304.37004 Blackmore, D.; Golenia, J.; Prykarpatsky, A. K.; Prykarpatsky, Ya. A. 2 2013 Threshold voltage dynamics of chaotic RS flip-flops. Zbl 1375.37054 Rahman, Aminur; Blackmore, Denis 1 2017 A solution set analysis of a nonlinear operator equation using a Leray-Schauder type fixed point approach. Zbl 1192.65069 Prykarpatsky, Anatoliy K.; Blackmore, Denis 1 2009 Upper and lower solutions method for a superlinear duffing equation. Zbl 1207.34028 Wang, Chengwen; Blackmore, Denis; Wang, Xiaoxia 1 2009 Nonintegrable perturbations of two vortex dynamics. Zbl 1207.76029 Blackmore, Denis 1 2008 On the local normalization of a vector field at a degenerate critical point. Zbl 0249.34013 Blackmore, Denis L. 1 1973 Non-associative structures of commutative algebras related with quadratic Poisson brackets. Zbl 1457.16019 Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K. 1 2020 A general fractal distribution function for rough surface profiles. Zbl 0863.58050 Blackmore, Denis; Zhou, Jack G. 1 1996 Bifurcation and chaos in higher dimensional pioneer-climax systems. Zbl 1399.37052 Joshi, Yogesh; Blackmore, Denis 1 2010 Maxwell-Lorentz electrodynamics revisited via the Lagrangian formalism and Feynman proper time paradigm. Zbl 1319.83010 Bogolubov, Nikolai N.; Prykarpatski, Anatolij K.; Blackmore, Denis 1 2015 Vortex dominated flows. A volume celebrating Lu Ting’s 80th birthday. Zbl 1075.76002 1 2005 On the Lax solution to the Hamilton–Jacobi equation. I. Zbl 0936.35181 Prykarpatsky, A. K.; Blackmore, D. L. 1 1998 Fractal analysis of height distributions of anisotropic rough surfaces. Zbl 1074.74506 Blackmore, Denis; Zhou, Jack G. 1 1998 New fractional nonlinear integrable Hamiltonian systems. Zbl 1409.37073 Hentosh, Oksana Ye.; Kyshakevych, Bohdan Yu.; Blackmore, Denis; Prykarpatski, Anatolij K. 1 2019 Hamiltonian structure for vortex filament flows. Zbl 1045.76003 Blackmore, D.; Knio, O. 1 2001 Imbeddings of integral submanifolds and associated adiabatic invariants of slowly perturbed integrable Hamiltonian systems. Zbl 0981.37019 Prykarpatsky, Y.; Samoilenko, A. M.; Blackmore, D. 1 1999 Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators. Zbl 1423.17024 Artemovych, Orest D.; Balinsky, Alexander A.; Blackmore, Denis; Prykarpatski, Anatolij K. 1 2018 The Cartan-Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders. Zbl 1268.35005 Blackmore, D. L.; Prykarpats’ka, N. K.; Samoilenko, V. H.; Wachnicki, E.; Pytel-Kudela, M. 1 2007 Analysis, simulation and visualization of 1D tapping via reduced dynamical models. Zbl 1341.37051 Blackmore, Denis; Rosato, Anthony; Tricoche, Xavier; Urban, Kevin; Zou, Luo 1 2014 Experimental, simulation and nonlinear dynamics of Galton’s board. Zbl 1401.39020 Rosato, Anthony D.; Blackmore, Denis; Buckley, Liam; Oshman, Christopher; Johnson, Mark 1 2004 Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: The modern differential-geometric aspects. Zbl 1076.37047 Prykarpatsky, Y. A.; Samoilenko, A. M.; Blackmore, D. L.; Prykarpatsky, A. K. 1 2005 Interesting bifurcations in walking droplet dynamics. Zbl 1453.37049 Rahman, Aminur; Blackmore, Denis 3 2020 Non-associative structures of commutative algebras related with quadratic Poisson brackets. Zbl 1457.16019 Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K. 1 2020 Theory of multidimensional Delsarte-Lions transmutation operators. I. Zbl 1442.58019 Samoilenko, A. M.; Prykarpatsky, Ya. A.; Blackmore, D.; Prykarpatsky, A. K. 3 2019 Dispersionless multi-dimensional integrable systems and related conformal structure generating equations of mathematical physics. Zbl 1460.17040 Hentosh, Oksana Ye.; Prykarpatsky, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. 3 2019 Theory of multidimensional Delsarte-Lions transmutation operators. II. Zbl 1442.58020 Samoilenko, A. M.; Prykarpatsky, Ya. A.; Blackmore, D.; Prykarpatsky, A. K. 2 2019 New fractional nonlinear integrable Hamiltonian systems. Zbl 1409.37073 Hentosh, Oksana Ye.; Kyshakevych, Bohdan Yu.; Blackmore, Denis; Prykarpatski, Anatolij K. 1 2019 A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy. Zbl 1413.35403 Samoilenko, Anatolij M.; Prykarpatskyy, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. 2 2018 Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators. Zbl 1433.17004 Artemovych, Orest D.; Prykarpatski, Anatolij K.; Blackmore, Denis L. 2 2018 Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators. Zbl 1423.17024 Artemovych, Orest D.; Balinsky, Alexander A.; Blackmore, Denis; Prykarpatski, Anatolij K. 1 2018 Lie-algebraic structure of Lax-Sato integrable heavenly equations and the Lagrange-d’Alembert principle. Zbl 1425.17036 Hentosh, Oksana E.; Prykarpatsky, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. 14 2017 Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems. Zbl 1420.35015 Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K. 6 2017 Sigma map dynamics and bifurcations. Zbl 1384.37062 Rahman, Aminur; Joshi, Yogesh; Blackmore, Denis 4 2017 Threshold voltage dynamics of chaotic RS flip-flops. Zbl 1375.37054 Rahman, Aminur; Blackmore, Denis 1 2017 Neimark-Sacker bifurcations and evidence of chaos in a discrete dynamical model of walkers. Zbl 1372.37097 Rahman, Aminur; Blackmore, Denis 6 2016 Integrability analysis of a two-component Burgers-type hierarchy. Zbl 1350.37074 Blackmore, D.; Prykarpatsky, A. K.; Özçağ, E.; Soltanov, K. 2 2015 Maxwell-Lorentz electrodynamics revisited via the Lagrangian formalism and Feynman proper time paradigm. Zbl 1319.83010 Bogolubov, Nikolai N.; Prykarpatski, Anatolij K.; Blackmore, Denis 1 2015 Dark equations and their light integrability. Zbl 1420.35016 Blackmore, Denis; Prykarpatski, Anatolij K. 7 2014 Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type. Zbl 1348.37101 Blackmore, Denis; Prykarpatsky, Yarema A.; Bogolubov, Nikolai N. jun.; Prykarpatski, Anatolij K. 6 2014 Strange attractors for asymptotically zero maps. Zbl 1354.37027 Joshi, Yogesh; Blackmore, Denis 5 2014 Analysis, simulation and visualization of 1D tapping via reduced dynamical models. Zbl 1341.37051 Blackmore, Denis; Rosato, Anthony; Tricoche, Xavier; Urban, Kevin; Zou, Luo 1 2014 A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation. Zbl 1272.58020 Prykarpatsky, Yarema A.; Blackmore, Denis; Golenia, Jolanta; Prykarpatsky, Anatoliy K. 2 2013 Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations. Zbl 1304.37004 Blackmore, D.; Golenia, J.; Prykarpatsky, A. K.; Prykarpatsky, Ya. A. 2 2013 The AKNS hierarchy revisited: a vertex operator approach and its Lie-algebraic structure. Zbl 1253.37066 Blackmore, Denis; Prykarpatsky, Anatoliy K. 2 2012 Nonlinear dynamical systems of mathematical physics. Spectral and symplectic integrability analysis. Zbl 1298.37001 Blackmore, Denis; Prykarpatsky, Anatoliy K.; Samoylenko, Valeriy Hr. 37 2011 Bifurcation and chaos in higher dimensional pioneer-climax systems. Zbl 1399.37052 Joshi, Yogesh; Blackmore, Denis 1 2010 Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations. Zbl 1198.35123 Gafiychuk, V.; Datsko, B.; Meleshko, V.; Blackmore, D. 41 2009 Discrete dynamical modeling and analysis of the \(R-S\) flip-flop circuit. Zbl 1198.94204 Blackmore, Denis; Rahman, Aminur; Shah, Jigar 3 2009 A solution set analysis of a nonlinear operator equation using a Leray-Schauder type fixed point approach. Zbl 1192.65069 Prykarpatsky, Anatoliy K.; Blackmore, Denis 1 2009 Upper and lower solutions method for a superlinear duffing equation. Zbl 1207.34028 Wang, Chengwen; Blackmore, Denis; Wang, Xiaoxia 1 2009 A coaxial vortex ring model for vortex breakdown. Zbl 1155.76017 Blackmore, Denis; Brøns, Morten; Goullet, Arnaud 3 2008 Nonintegrable perturbations of two vortex dynamics. Zbl 1207.76029 Blackmore, Denis 1 2008 Transient and steady state of a rising bubble in a viscoelastic fluid. Zbl 1141.76337 Pillapakkam, Shriram B.; Singh, Pushpendra; Blackmore, Denis; Aubry, Nadine 8 2007 Studies of perturbed three vortex dynamics. Zbl 1144.81316 Blackmore, Denis; Ting, Lu; Knio, Omar 5 2007 Pitchfork bifurcations of invariant manifolds. Zbl 1116.37018 Champanerkar, Jyoti; Blackmore, Denis 4 2007 The Cartan-Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders. Zbl 1268.35005 Blackmore, D. L.; Prykarpats’ka, N. K.; Samoilenko, V. H.; Wachnicki, E.; Pytel-Kudela, M. 1 2007 Swept volumes: fundation, perspectives, and applications. Zbl 1096.68753 Abdel-Malek, Karim; Yang, Jingzhou; Blackmore, Denis; Joy, Ken 7 2006 New models for chaotic dynamics. Zbl 1076.37019 Blackmore, D. 5 2005 The uniqueness of limit cycles for Liénard system. Zbl 1078.34016 Zhou, Yurong; Wang, Chengwen; Blackmore, Denis 4 2005 A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion. Zbl 1075.37018 Blackmore, Denis; Champanerkar, Jyoti; Wang, Chengwen 4 2005 Vortex dominated flows. A volume celebrating Lu Ting’s 80th birthday. Zbl 1075.76002 1 2005 Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: The modern differential-geometric aspects. Zbl 1076.37047 Prykarpatsky, Y. A.; Samoilenko, A. M.; Blackmore, D. L.; Prykarpatsky, A. K. 1 2005 A geometrical approach to quantum holonomic computing algorithms. Zbl 1151.81320 Samoilenko, A. M.; Prykarpatsky, Y. A.; Taneri, Ufuk; Prykarpatsky, A. K.; Blackmore, D. L. 3 2004 Experimental, simulation and nonlinear dynamics of Galton’s board. Zbl 1401.39020 Rosato, Anthony D.; Blackmore, Denis; Buckley, Liam; Oshman, Christopher; Johnson, Mark 1 2004 On the inf-type extremality solutions to Hamilton-Jacobi equations, their regularity properties, and some generalizations. Zbl 1053.35043 Prykarpatska, N. K.; Blackmore, D. L.; Prykarpatsky, A. K.; Pytel-Kudela, M. 4 2003 The Lax solution to a Hamilton-Jacobi equation and its generalizations. II. Zbl 1029.35215 Mykytiuk, Ya. V.; Prykarpatsky, A. K.; Blackmore, D. 2 2003 On the exponentially self-regulating population model. Zbl 1031.92021 Chen, Jerry; Blackmore, Denis 11 2002 Dynamical properties of discrete Lotka-Volterra equations. Zbl 0999.39017 Blackmore, Denis; Chen, Jerry; Perez, John; Savescu, Michelle 15 2001 On swept volume formulations: implicit surfaces. Zbl 1206.65042 Abdel-Malek, K.; Yang, J.; Blackmore, D. 3 2001 Hamiltonian structure for vortex filament flows. Zbl 1045.76003 Blackmore, D.; Knio, O. 1 2001 KAM theory analysis of the dynamics of three coaxial vortex rings. Zbl 0987.37060 Blackmore, Denis; Knio, Omar 8 2000 Trimming swept volumes. Zbl 1053.68755 Blackmore, Denis; Samulyak, Roman; Leu, Ming C. 7 1999 Versal deformations of a Dirac type differential operator. Zbl 1068.37046 Prykarpatsky, Anatoliy K.; Blackmore, Denis 3 1999 Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov kinetic equations on an axis and some applications to manufacturing science. Zbl 1014.37042 Prykarpatsky, A.; Blackmore, D.; Bogoliubov, N. N. jun. 3 1999 New mathematical models for particle flow dynamics. Zbl 0993.76083 Blackmore, Denis; Samulyak, Roman; Rosato, Anthony 2 1999 Imbeddings of integral submanifolds and associated adiabatic invariants of slowly perturbed integrable Hamiltonian systems. Zbl 0981.37019 Prykarpatsky, Y.; Samoilenko, A. M.; Blackmore, D. 1 1999 The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra. Zbl 0952.37046 Blackmore, D. L.; Prykarpatsky, Y. A.; Samulyak, R. V. 3 1998 On the Lax solution to the Hamilton–Jacobi equation. I. Zbl 0936.35181 Prykarpatsky, A. K.; Blackmore, D. L. 1 1998 Fractal analysis of height distributions of anisotropic rough surfaces. Zbl 1074.74506 Blackmore, Denis; Zhou, Jack G. 1 1998 The finite-dimensional Moser type reduction of modified Boussinesq and super-Korteweg-de Vries Hamiltonian systems via the gradient-holonomic algorithm and dual moment maps. I. Zbl 0952.37024 Prykarpatsky, A. K.; Hentosh, O. E.; Blackmore, D. L. 6 1997 Lax-type flows on Grassmann manifolds and dual momentum mappings. Zbl 0939.37047 Prykarpatsky, A. K.; Zagrodzińsky, J. A.; Blackmore, D. L. 5 1997 A general fractal distribution function for rough surface profiles. Zbl 0863.58050 Blackmore, Denis; Zhou, Jack G. 1 1996 Analysis and modelling of deformed swept volumes. Zbl 0805.68128 Blackmore, Denis; Leu, Ming C.; Shih, Frank 7 1994 Simple dynamical models for vortex breakdown of the \(B\)-type. Zbl 0814.76028 Blackmore, D. 2 1994 Flows about a critical point with a single zero characteristic root. Zbl 0241.34054 Blackmore, Denis L. 2 1973 On the local normalization of a vector field at a degenerate critical point. Zbl 0249.34013 Blackmore, Denis L. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 295 Authors 40 Prykarpatsky, Anatoliy Karolevych 35 Blackmore, Denis L. 20 Prykarpatsky, Yarema Anatoliyovych 9 Shah, Kamal 8 Rahman, Aminur 7 Artemovych, Orest Dem”yanovych 7 Hentosh, Oksana E. 5 5 Khan, Rahmat Ali 5 Prytula, Mykola Mykolaĭovych 5 Samoĭlenko, Valeriĭ Grygorovych 4 Gafiychuk, Vasyl V. 4 Liu, Yuji 4 Samoĭlenko, Anatoliĭ Mykhaĭlovych 4 Samoĭlenko, Yuliya Ivanivna 3 Ahmad, Bashir 3 Hashem, Hind H. G. 3 Hentosh, Oksana Ye. 3 Papaschinopoulos, Garyfalos 3 Psarros, Nikolaos 2 Abdel-Malek, Karim 2 Abernethy, Gavin M. 2 Agarwal, Ravi P. 2 Ali, Zeeshan 2 Baek, Nakhoon 2 Bashiri, Tahereh 2 Bogolyubov, Nikolaĭ Nikolaevich jun. 2 Celik, Canan 2 Chwa, Kyungyong 2 Duman, Oktay 2 El-Sayed, Ahmed Mohamed Ahmed 2 Golenia, Jolanta 2 Kamkari, Babak 2 Knio, Omar M. 2 Li, Yongjin 2 Lim, Chjan C. 2 Liu, Qihuai 2 Machchhar, Jinesh 2 Merdan, Hüseyin 2 Naik, Raghavendra D. 2 Özçağ, Emin 2 Park, Choonkil 2 Phillips, Timothy N. 2 Pukach, Petro Ya. 2 Pytel-Kudela, Marzenna 2 Rosato, Anthony D. 2 Schinas, Christos J. 2 Sergyeyev, Artur 2 Shammakh, Wafa M. 2 Shin, Sung Yong 2 Singru, Pravin M. 2 Sokolovskiy, Mikhail A. 2 Soltanov, Kamal N. 2 Vahabi, Mohammad 2 Vovk, Myroslava I. 2 Wang, Guotao 2 Yang, Jingzhou 2 Yuan, Chengjun 2 Zada, Akbar 2 Zada, Mian Bahadur 2 Zegeling, André 1 Abdeljawad, Thabet 1 Adsul, Bharat 1 Al-Yami, Maryem 1 Alam, Mehboob 1 Ali, Irfan 1 Ali, Sajjad 1 Alidousti, Javad 1 Al-saedi, Ahmed Eid Salem 1 Alvarez, María Alejandra 1 Aref, Hassan 1 Arif, Muhammad 1 Artemova, Elizaveta Markovna 1 Assad, Syed M. 1 Atangana, Abdon 1 Aulbach, Bernd 1 Avazzadeh, Zakieh 1 Balhoff, Matthew T. 1 Banakh, Iryna 1 Banakh, Taras Onufrievich 1 Barton, Michael H. 1 Ben Mabrouk, Anouar 1 Besteiro, Agustin Tomas 1 Bihun, Oksana 1 Bischi, Gian-Italo 1 Bisi, Fulvio 1 Bizzarri, Michal 1 Blackmore, F. 1 Borisov, Alekseĭ Vladimirovich 1 Bothe, Dieter 1 Brenn, Günter 1 Brikaa, M. G. 1 Brøns, Morten 1 Caballero, Josefa 1 Caicedo, Alejandro 1 Chakraborty, Sagar 1 Chakraborty, Subenoy 1 Champanerkar, Jyoti A. 1 Chen, Changming 1 Chen, Fangqi ...and 195 more Authors all top 5 Cited in 104 Serials 14 Chaos, Solitons and Fractals 11 Ukrainian Mathematical Journal 9 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Nonlinear Mathematical Physics 6 Journal of Mathematical Sciences (New York) 6 Advances in Difference Equations 5 Computer Aided Geometric Design 5 Chaos 4 Journal of Mathematical Physics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Regular and Chaotic Dynamics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Journal of Fluid Mechanics 3 Reports on Mathematical Physics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Abstract and Applied Analysis 2 International Journal of Modern Physics B 2 Letters in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Theoretical and Computational Fluid Dynamics 2 Journal of Geometry and Physics 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Mechanics Research Communications 2 Physica D 2 Applied Mathematics Letters 2 International Journal of Computational Geometry & Applications 2 Physics of Fluids 2 Matematychni Studiï 2 Discrete Dynamics in Nature and Society 2 European Journal of Mechanics. B. Fluids 2 Nonlinear Analysis. Real World Applications 2 Central European Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Nonlinear Oscillations 2 Mathematics 2 European Journal of Mathematics 2 AIMS Mathematics 1 Modern Physics Letters A 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Topology and its Applications 1 Acta Applicandae Mathematicae 1 Journal of Computer Science and Technology 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 Applicable Algebra in Engineering, Communication and Computing 1 Cybernetics and Systems Analysis 1 Applicationes Mathematicae 1 Journal of the Egyptian Mathematical Society 1 Fractals 1 Filomat 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 ACM Transactions on Modeling and Computer Simulation 1 International Journal of Shape Modeling 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Algebra and its Applications 1 Analysis and Applications (Singapore) 1 Fixed Point Theory and Applications 1 Boundary Value Problems 1 Journal of Zhejiang University. Science A 1 Optimization Letters 1 International Journal of Biomathematics 1 Communications in Theoretical Physics 1 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Symmetry 1 ISRN Mathematical Analysis 1 Analysis and Mathematical Physics 1 Arabian Journal of Mathematics 1 Carpathian Mathematical Publications 1 Topological Algebra and its Applications 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics ...and 4 more Serials all top 5 Cited in 47 Fields 79 Dynamical systems and ergodic theory (37-XX) 51 Partial differential equations (35-XX) 46 Ordinary differential equations (34-XX) 28 Fluid mechanics (76-XX) 23 Numerical analysis (65-XX) 21 Operator theory (47-XX) 21 Global analysis, analysis on manifolds (58-XX) 18 Nonassociative rings and algebras (17-XX) 16 Biology and other natural sciences (92-XX) 15 Mechanics of particles and systems (70-XX) 12 Difference and functional equations (39-XX) 8 Integral equations (45-XX) 7 Real functions (26-XX) 7 Computer science (68-XX) 7 Mechanics of deformable solids (74-XX) 5 Systems theory; control (93-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Convex and discrete geometry (52-XX) 3 Relativity and gravitational theory (83-XX) 3 Information and communication theory, circuits (94-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year