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Krupa, Martin

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Author ID: krupa.martin Recent zbMATH articles by "Krupa, Martin"
Published as: Krupa, Martin; Krupa, M.
Documents Indexed: 63 Publications since 1989

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 1,200 times in 655 Documents Cited by Year
Extending geometric singular perturbation theory to nonhyperbolic points – fold and canard points in two dimensions. Zbl 1002.34046
Krupa, M.; Szmolyan, P.
175
2001
Relaxation oscillation and canard explosion. Zbl 0994.34032
Krupa, M.; Szmolyan, P.
148
2001
Robust heteroclinic cycles. Zbl 0879.58054
Krupa, M.
67
1997
Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025
Krupa, Martin; Melbourne, Ian
67
1995
Local analysis near a folded saddle-node singularity. Zbl 1198.34103
Krupa, Martin; Wechselberger, Martin
52
2010
Bifurcations of relative equilibria. Zbl 0706.58043
Krupa, Martin
52
1990
Fast and slow waves in the FitzHugh-Nagumo equation. Zbl 0898.34050
Krupa, Martin; Sandstede, Björn; Szmolyan, Peter
51
1997
Mixed mode oscillations due to the generalized canard. Zbl 1228.34063
Brøns, Morten; Krupa, Martin; Wechselberger, Martin
50
2006
Asymptotic stability of heteroclinic cycles in systems with symmetry. II. Zbl 1073.37025
Krupa, Martin; Melbourne, Ian
46
2004
Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039
Krupa, M.; Szmolyan, P.
44
2001
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
40
2008
Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057
Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G.
32
2008
The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Zbl 0864.58044
Homburg, Ale Jan; Kokubu, Hiroshi; Krupa, Martin
31
1994
Hopf bifurcation with non-semisimple 1:1 resonance. Zbl 0709.58027
van Gils, S. A.; Krupa, M.; Langford, W. F.
30
1990
Coupled arrays of Josephson junctions and bifurcation of maps with \(S_ N\) symmetry. Zbl 0803.58040
Aronson, D. G.; Golubitsky, Martin; Krupa, Martin
26
1991
Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster. Zbl 1375.92014
Desroches, Mathieu; Kaper, Tasso J.; Krupa, Martin
26
2013
Asymptotic expansions using blow-up. Zbl 1081.34052
van Gils, S.; Krupa, M.; Szmolyan, P.
18
2005
Geometric analysis of the singularly perturbed planar fold. Zbl 1013.34057
Krupa, M.; Szmolyan, P.
18
2001
Transverse bifurcations of homoclinic cycles. Zbl 0892.34044
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
17
1997
Time-reversibility and particle sedimentation. Zbl 0717.58049
Golubitsky, Martin; Krupa, Martin; Lim, Chjan
16
1991
Mixed-mode oscillations in a multiple time scale phantom bursting system. Zbl 1260.34091
Krupa, Martin; Vidal, Alexandre; Desroches, Mathieu; Clément, Frédérique
15
2012
Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman’s examples. Zbl 1288.34051
Broer, Henk W.; Kaper, Tasso J.; Krupa, Martin
15
2013
Inflection, canards and excitability threshold in neuronal models. Zbl 1274.70045
Desroches, M.; Krupa, M.; Rodrigues, S.
13
2013
Spike-adding in parabolic bursters: the role of folded-saddle canards. Zbl 1365.92019
Desroches, Mathieu; Krupa, Martin; Rodrigues, Serafim
11
2016
Modelling, dynamics and control of tethered satellite systems. Zbl 1138.70349
Krupa, M.; Poth, W.; Schagerl, M.; Steindl, A.; Steiner, W.; Troger, H.; Wiedermann, G.
10
2006
Bifurcation of traveling waves in extrinsic semiconductors. Zbl 0960.34031
Katzengruber, B.; Krupa, M.; Szmolyan, P.
9
2000
Mixed-mode oscillations in a three time-scale system of ODEs motivated by a neuronal model. Zbl 1204.37085
Jalics, Jozsi; Krupa, Martin; Rotstein, Horacio G.
9
2010
Stability computations for nilpotent Hopf bifurcations in coupled cell systems. Zbl 1141.37343
Golubitsky, M.; Krupa, M.
9
2007
Nonasymptotically stable attractors in \(O(2)\) mode interactions. Zbl 0833.58025
Krupa, Martin; Melbourne, Ian
8
1995
Stability of relative equilibria. II: Dumbbell satellites. Zbl 0992.70014
Krupa, Martin; Steindl, Alois; Troger, Hans
8
2000
Extending the zero-derivative principle for slow-fast dynamical systems. Zbl 1330.34093
Benoît, Eric; Brøns, Morten; Desroches, Mathieu; Krupa, Martin
7
2015
A multiple time scale coupling of piecewise linear oscillators. Application to a neuroendocrine system. Zbl 1329.34090
Fernández-García, S.; Desroches, M.; Krupa, M.; Clément, F.
6
2015
Homoclinic twist bifurcations with \(\mathbb{Z}_ 2\) symmetry. Zbl 0799.58052
Aronson, D. G.; van Gils, S. A.; Krupa, M.
6
1994
Relative equilibria of tethered satellite systems and their stability for very stiff tethers. Zbl 0998.70020
Krupa, M.; Schagerl, M.; Steindl, A.; Szmolyan, P.; Troger, H.
6
2001
Border collision bifurcations of stroboscopic maps in periodically driven spiking models. Zbl 1322.37016
Granados, A.; Krupa, M.; Clément, F.
6
2014
Canard-mediated (de)synchronization in coupled phantom bursters. Zbl 1337.34060
Ersöz, Elif Köksal; Desroches, Mathieu; Krupa, Martin; Clément, Frédérique
6
2016
Gamma oscillations as a mechanism for selective information transmission. Zbl 1266.92023
Gielen, Stan; Krupa, Martin; Zeitler, Magteld
5
2010
Canard solutions in planar piecewise linear systems with three zones. Zbl 1342.34077
Fernández-García, S.; Desroches, M.; Krupa, M.; Teruel, A. E.
5
2016
Semirotors in the Josephson junction equations. Zbl 0843.34041
Aronson, D. G.; Krupa, M.; Ashwin, P.
4
1996
Synchronization of weakly coupled canard oscillators. Zbl 1376.34052
Köksal Ersöz, Elif; Desroches, Mathieu; Krupa, Martin
4
2017
Adaptation and shunting inhibition leads to pyramidal/interneuron gamma with sparse firing of pyramidal cells. Zbl 1409.92044
Krupa, Martin; Gielen, Stan; Gutkin, Boris
4
2014
Mixed-mode oscillations in a piecewise linear system with multiple time scale coupling. Zbl 1415.34068
Fernández-García, S.; Krupa, M.; Clément, F.
3
2016
Weakly coupled two-slow-two-fast systems, folded singularities and mixed mode oscillations. Zbl 1300.34137
Krupa, M.; Ambrosio, B.; Aziz-Alaoui, M. A.
3
2014
Symmetry breaking and symmetry locking in equivariant circle maps. Zbl 0761.58050
Krupa, Martin; Roberts, Mark
3
1992
Stability of relative equilibria. I: Comparison of four methods. Zbl 0992.70013
Krupa, Martin; Schagerl, Martin; Steindl, Alois; Troger, Hans
3
2000
Splay states in finite pulse-coupled networks of excitable neurons. Zbl 1254.92008
Dipoppa, M.; Krupa, M.; Torcini, A.; Gutkin, B. S.
3
2012
From canards of folded singularities to torus canards in a forced van der Pol equation. Zbl 1346.34042
Burke, John; Desroches, Mathieu; Granados, Albert; Kaper, Tasso J.; Krupa, Martin; Vo, Theodore
3
2016
A numerical study of a simple stochastic/deterministic model of cycle-to-cycle combustion fluctuations in spark ignition engines. Zbl 1182.76934
Litak, G.; Wendeker, M.; Krupa, M.; Czarnigowski, J.
2
2005
Homoclinic twist bifurcation in a system of two coupled oscillators. Zbl 1002.34027
van Gils, Stephan A.; Krupa, Martin; Tchistiakov, Viktor
2
2000
Secondary bifurcations in symmetric systems. Zbl 0687.58025
Vanderbauwhede, A.; Krupa, M.; Golubitsky, M.
2
1989
Noise-induced canard and mixed-mode oscillations in large-scale stochastic networks. Zbl 1344.34070
Touboul, Jonathan D.; Krupa, Martin; Desroches, Mathieu
1
2015
Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
1
1999
Canards in a minimal piecewise-linear square-wave burster. Zbl 1375.92013
Desroches, M.; Fernández-García, S.; Krupa, M.
1
2016
Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system. Zbl 1404.35249
Avitabile, D.; Desroches, M.; Knobloch, E.; Krupa, M.
1
2017
Synchronization of weakly coupled canard oscillators. Zbl 1376.34052
Köksal Ersöz, Elif; Desroches, Mathieu; Krupa, Martin
4
2017
Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system. Zbl 1404.35249
Avitabile, D.; Desroches, M.; Knobloch, E.; Krupa, M.
1
2017
Spike-adding in parabolic bursters: the role of folded-saddle canards. Zbl 1365.92019
Desroches, Mathieu; Krupa, Martin; Rodrigues, Serafim
11
2016
Canard-mediated (de)synchronization in coupled phantom bursters. Zbl 1337.34060
Ersöz, Elif Köksal; Desroches, Mathieu; Krupa, Martin; Clément, Frédérique
6
2016
Canard solutions in planar piecewise linear systems with three zones. Zbl 1342.34077
Fernández-García, S.; Desroches, M.; Krupa, M.; Teruel, A. E.
5
2016
Mixed-mode oscillations in a piecewise linear system with multiple time scale coupling. Zbl 1415.34068
Fernández-García, S.; Krupa, M.; Clément, F.
3
2016
From canards of folded singularities to torus canards in a forced van der Pol equation. Zbl 1346.34042
Burke, John; Desroches, Mathieu; Granados, Albert; Kaper, Tasso J.; Krupa, Martin; Vo, Theodore
3
2016
Canards in a minimal piecewise-linear square-wave burster. Zbl 1375.92013
Desroches, M.; Fernández-García, S.; Krupa, M.
1
2016
Extending the zero-derivative principle for slow-fast dynamical systems. Zbl 1330.34093
Benoît, Eric; Brøns, Morten; Desroches, Mathieu; Krupa, Martin
7
2015
A multiple time scale coupling of piecewise linear oscillators. Application to a neuroendocrine system. Zbl 1329.34090
Fernández-García, S.; Desroches, M.; Krupa, M.; Clément, F.
6
2015
Noise-induced canard and mixed-mode oscillations in large-scale stochastic networks. Zbl 1344.34070
Touboul, Jonathan D.; Krupa, Martin; Desroches, Mathieu
1
2015
Border collision bifurcations of stroboscopic maps in periodically driven spiking models. Zbl 1322.37016
Granados, A.; Krupa, M.; Clément, F.
6
2014
Adaptation and shunting inhibition leads to pyramidal/interneuron gamma with sparse firing of pyramidal cells. Zbl 1409.92044
Krupa, Martin; Gielen, Stan; Gutkin, Boris
4
2014
Weakly coupled two-slow-two-fast systems, folded singularities and mixed mode oscillations. Zbl 1300.34137
Krupa, M.; Ambrosio, B.; Aziz-Alaoui, M. A.
3
2014
Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster. Zbl 1375.92014
Desroches, Mathieu; Kaper, Tasso J.; Krupa, Martin
26
2013
Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman’s examples. Zbl 1288.34051
Broer, Henk W.; Kaper, Tasso J.; Krupa, Martin
15
2013
Inflection, canards and excitability threshold in neuronal models. Zbl 1274.70045
Desroches, M.; Krupa, M.; Rodrigues, S.
13
2013
Mixed-mode oscillations in a multiple time scale phantom bursting system. Zbl 1260.34091
Krupa, Martin; Vidal, Alexandre; Desroches, Mathieu; Clément, Frédérique
15
2012
Splay states in finite pulse-coupled networks of excitable neurons. Zbl 1254.92008
Dipoppa, M.; Krupa, M.; Torcini, A.; Gutkin, B. S.
3
2012
Local analysis near a folded saddle-node singularity. Zbl 1198.34103
Krupa, Martin; Wechselberger, Martin
52
2010
Mixed-mode oscillations in a three time-scale system of ODEs motivated by a neuronal model. Zbl 1204.37085
Jalics, Jozsi; Krupa, Martin; Rotstein, Horacio G.
9
2010
Gamma oscillations as a mechanism for selective information transmission. Zbl 1266.92023
Gielen, Stan; Krupa, Martin; Zeitler, Magteld
5
2010
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
40
2008
Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057
Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G.
32
2008
Stability computations for nilpotent Hopf bifurcations in coupled cell systems. Zbl 1141.37343
Golubitsky, M.; Krupa, M.
9
2007
Mixed mode oscillations due to the generalized canard. Zbl 1228.34063
Brøns, Morten; Krupa, Martin; Wechselberger, Martin
50
2006
Modelling, dynamics and control of tethered satellite systems. Zbl 1138.70349
Krupa, M.; Poth, W.; Schagerl, M.; Steindl, A.; Steiner, W.; Troger, H.; Wiedermann, G.
10
2006
Asymptotic expansions using blow-up. Zbl 1081.34052
van Gils, S.; Krupa, M.; Szmolyan, P.
18
2005
A numerical study of a simple stochastic/deterministic model of cycle-to-cycle combustion fluctuations in spark ignition engines. Zbl 1182.76934
Litak, G.; Wendeker, M.; Krupa, M.; Czarnigowski, J.
2
2005
Asymptotic stability of heteroclinic cycles in systems with symmetry. II. Zbl 1073.37025
Krupa, Martin; Melbourne, Ian
46
2004
Extending geometric singular perturbation theory to nonhyperbolic points – fold and canard points in two dimensions. Zbl 1002.34046
Krupa, M.; Szmolyan, P.
175
2001
Relaxation oscillation and canard explosion. Zbl 0994.34032
Krupa, M.; Szmolyan, P.
148
2001
Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039
Krupa, M.; Szmolyan, P.
44
2001
Geometric analysis of the singularly perturbed planar fold. Zbl 1013.34057
Krupa, M.; Szmolyan, P.
18
2001
Relative equilibria of tethered satellite systems and their stability for very stiff tethers. Zbl 0998.70020
Krupa, M.; Schagerl, M.; Steindl, A.; Szmolyan, P.; Troger, H.
6
2001
Bifurcation of traveling waves in extrinsic semiconductors. Zbl 0960.34031
Katzengruber, B.; Krupa, M.; Szmolyan, P.
9
2000
Stability of relative equilibria. II: Dumbbell satellites. Zbl 0992.70014
Krupa, Martin; Steindl, Alois; Troger, Hans
8
2000
Stability of relative equilibria. I: Comparison of four methods. Zbl 0992.70013
Krupa, Martin; Schagerl, Martin; Steindl, Alois; Troger, Hans
3
2000
Homoclinic twist bifurcation in a system of two coupled oscillators. Zbl 1002.34027
van Gils, Stephan A.; Krupa, Martin; Tchistiakov, Viktor
2
2000
Magnetic dynamos in rotating convection – a dynamical systems approach. Zbl 0939.35020
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
1
1999
Robust heteroclinic cycles. Zbl 0879.58054
Krupa, M.
67
1997
Fast and slow waves in the FitzHugh-Nagumo equation. Zbl 0898.34050
Krupa, Martin; Sandstede, Björn; Szmolyan, Peter
51
1997
Transverse bifurcations of homoclinic cycles. Zbl 0892.34044
Chossat, P.; Krupa, M.; Melbourne, I.; Scheel, A.
17
1997
Semirotors in the Josephson junction equations. Zbl 0843.34041
Aronson, D. G.; Krupa, M.; Ashwin, P.
4
1996
Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025
Krupa, Martin; Melbourne, Ian
67
1995
Nonasymptotically stable attractors in \(O(2)\) mode interactions. Zbl 0833.58025
Krupa, Martin; Melbourne, Ian
8
1995
The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Zbl 0864.58044
Homburg, Ale Jan; Kokubu, Hiroshi; Krupa, Martin
31
1994
Homoclinic twist bifurcations with \(\mathbb{Z}_ 2\) symmetry. Zbl 0799.58052
Aronson, D. G.; van Gils, S. A.; Krupa, M.
6
1994
Symmetry breaking and symmetry locking in equivariant circle maps. Zbl 0761.58050
Krupa, Martin; Roberts, Mark
3
1992
Coupled arrays of Josephson junctions and bifurcation of maps with \(S_ N\) symmetry. Zbl 0803.58040
Aronson, D. G.; Golubitsky, Martin; Krupa, Martin
26
1991
Time-reversibility and particle sedimentation. Zbl 0717.58049
Golubitsky, Martin; Krupa, Martin; Lim, Chjan
16
1991
Bifurcations of relative equilibria. Zbl 0706.58043
Krupa, Martin
52
1990
Hopf bifurcation with non-semisimple 1:1 resonance. Zbl 0709.58027
van Gils, S. A.; Krupa, M.; Langford, W. F.
30
1990
Secondary bifurcations in symmetric systems. Zbl 0687.58025
Vanderbauwhede, A.; Krupa, M.; Golubitsky, M.
2
1989
all top 5

Cited by 816 Authors

27 Krupa, Martin
24 Desroches, Mathieu
24 Wechselberger, Martin
21 Kühn, Christian
16 Ashwin, Peter
14 De Maesschalck, Peter
14 Szmolyan, Peter
12 Rodrigues, Alexandre A. P.
11 Kaper, Tasso J.
11 Labouriau, Isabel S.
11 Popović, Nikola
11 Rubin, Jonathan E.
10 Castro, Sofia B. S. D.
10 Chossat, Pascal
10 Huzak, Renato
10 Podvigina, Ol’ga Mikhaĭlovna
10 Sandstede, Björn
9 Vo, Theodore
8 Bi, Qinsheng
8 Carter, Paul M.
8 Dumortier, Freddy
8 Homburg, Ale Jan
8 Jardón-Kojakhmetov, Hildeberto
8 Kirk, Vivien
8 Krauskopf, Bernd
8 Liu, Qian
8 Lohse, Alexander
8 Melbourne, Ian
8 Osinga, Hinke Maria
8 Scheel, Arnd
8 Zhou, Yuqian
7 Brøns, Morten
7 Kristiansen, Kristian Uldall
7 Lamb, Jeroen S. W.
7 Rotstein, Horacio G.
6 Rodrigues, Serafim
5 Clément, Frédérique
5 Ersöz, Elif Köksal
5 Fernández-García, Soledad
5 Gaeta, Giuseppe
5 Guillamon, Antoni
5 Han, Maoan
5 Hogan, S. John
5 Hupkes, Hermen Jan
5 Knobloch, Jürgen
5 López, Juan Manuel
5 Marques, Francisco
5 Naudot, Vincent
5 Nijholt, Eddie
5 Postlethwaite, Claire M.
5 Rink, Bob W.
5 Roberts, Richard Mark
5 Sanders, Jan A.
5 Schecter, Stephen
5 Steindl, Alois
5 Teixeira, Marco Antonio
5 Touboul, Jonathan David
5 Uldall Kristiansen, K.
5 Wulff, Claudia
4 Aguiar, Manuela A. D.
4 Algaba, Antonio
4 Bertram, Richard
4 Broer, Henk W.
4 Buono, Pietro-Luciano
4 Champneys, Alan R.
4 Dawes, Jonathan H. P.
4 Engel, Maximilian
4 Golubitsky, Martin A.
4 Inaba, Naohiko
4 Knobloch, Edgar
4 Krupa, Maciej
4 Lin, Xiaobiao
4 Liu, Xingbo
4 Ratiu, Tudor Stefan
4 Rodríguez-Luis, Alejandro J.
4 Schouten-Straatman, Willem M.
4 Shilnikov, Andrey L.
4 Tabak, Joël
4 Teruel, Antonio E.
4 van Gils, Stephan A.
4 Vidal, Alexandre
4 Zhu, Deming
3 Aronson, Donald G.
3 Avitabile, Daniele
3 Banasiak, Jacek
3 Barrio, Roberto
3 Campbell, Sue Ann
3 Cardin, Pedro Toniol
3 Chung, Kwok-Wai
3 Cvitanović, Predrag
3 Da Silva, Paulo Ricardo
3 Dangelmayr, Gerhard
3 Dias, Ana Paula S.
3 Doelman, Arjen
3 Fassò, Francesco
3 Faye, Grégory
3 Giraldo, Andrus
3 Gutkin, Boris S.
3 Han, Xiujing
3 Jones, Christopher K. R. T.
...and 716 more Authors
all top 5

Cited in 119 Serials

59 Journal of Differential Equations
59 Physica D
45 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
44 SIAM Journal on Applied Dynamical Systems
37 Journal of Nonlinear Science
24 Journal of Dynamics and Differential Equations
24 Chaos
24 Dynamical Systems
20 Nonlinear Dynamics
13 Communications in Nonlinear Science and Numerical Simulation
13 The Journal of Mathematical Neuroscience
12 Journal of Mathematical Analysis and Applications
12 Discrete and Continuous Dynamical Systems. Series B
11 Journal of Fluid Mechanics
11 Nonlinearity
11 Journal of Computational Neuroscience
8 Journal of Mathematical Biology
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Chaos, Solitons and Fractals
8 SIAM Journal on Mathematical Analysis
7 Transactions of the American Mathematical Society
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Applied Mathematics and Computation
5 Discrete and Continuous Dynamical Systems
5 Qualitative Theory of Dynamical Systems
5 Nonlinear Analysis. Real World Applications
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Archive for Rational Mechanics and Analysis
4 Biological Cybernetics
4 Mathematical Biosciences
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Dynamical and Control Systems
4 Mathematical Biosciences and Engineering
3 Bulletin of Mathematical Biology
3 Quarterly of Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
3 SIAM Journal on Applied Mathematics
3 SIAM Review
3 Indagationes Mathematicae. New Series
3 Physics of Fluids
3 Communications on Pure and Applied Analysis
3 Mathematical Modelling of Natural Phenomena
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
2 BIT
2 Journal of Computational and Applied Mathematics
2 Theoretical Population Biology
2 Transactions of the Moscow Mathematical Society
2 Ergodic Theory and Dynamical Systems
2 Circuits, Systems, and Signal Processing
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Neural Computation
2 Applied Mathematical Modelling
2 Linear Algebra and its Applications
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of Mathematical Sciences (New York)
2 Journal of Difference Equations and Applications
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 New Journal of Physics
2 European Journal of Mechanics. B. Fluids
2 Regular and Chaotic Dynamics
2 Acta Mechanica Sinica
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Theoretical Biology
2 Journal of Computational Dynamics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Acta Mechanica
1 Communications in Mathematical Physics
1 Fluid Dynamics
1 International Journal of Theoretical Physics
1 Journal of the Franklin Institute
1 Letters in Mathematical Physics
1 Physics Reports
1 Theoretical and Computational Fluid Dynamics
1 Prikladnaya Matematika i Mekhanika
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Automatica
1 International Journal of Circuit Theory and Applications
1 International Journal of Game Theory
1 Meccanica
1 Proceedings of the American Mathematical Society
1 Advances in Applied Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematical and Computer Modelling
1 Dynamics and Stability of Systems
1 Science in China. Series A
1 Differential Geometry and its Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 International Journal of Computer Mathematics
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Archive of Applied Mechanics
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
...and 19 more Serials
all top 5

Cited in 40 Fields

399 Ordinary differential equations (34-XX)
311 Dynamical systems and ergodic theory (37-XX)
169 Biology and other natural sciences (92-XX)
85 Partial differential equations (35-XX)
60 Mechanics of particles and systems (70-XX)
40 Fluid mechanics (76-XX)
27 Numerical analysis (65-XX)
18 Global analysis, analysis on manifolds (58-XX)
12 Information and communication theory, circuits (94-XX)
10 Probability theory and stochastic processes (60-XX)
10 Mechanics of deformable solids (74-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Systems theory; control (93-XX)
6 Differential geometry (53-XX)
5 Optics, electromagnetic theory (78-XX)
5 Geophysics (86-XX)
5 Operations research, mathematical programming (90-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Combinatorics (05-XX)
3 Group theory and generalizations (20-XX)
3 Difference and functional equations (39-XX)
3 Quantum theory (81-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year