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Blackmore, Denis L.

Author ID: blackmore.denis-l Recent zbMATH articles by "Blackmore, Denis L."
Published as: Blackmore, Denis; Blackmore, D.; Blackmore, D. L.; Blackmore, Denis L.
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

Publications by Year

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 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