Edit Profile (opens in new tab) Coombes, Stephen Compute Distance To: Compute Author ID: coombes.stephen Published as: Coombes, Stephen; Coombes, S. External Links: MGP Documents Indexed: 59 Publications since 1994 3 Contributions as Editor · 1 Further Contribution Co-Authors: 54 Co-Authors with 55 Joint Publications 997 Co-Co-Authors all top 5 Co-Authors 8 single-authored 11 Thul, Rüdiger 7 Bressloff, Paul C. 6 Avitabile, Daniele 5 Lai, Yi Ming 5 Laing, Carlo R. 5 Timofeeva, Yulia 4 Schmidt, Helmut 3 Lord, Gabriel James 3 Nicks, Rachel 3 Owen, Markus Roger 3 Wedgwood, Kyle C. A. 2 beim Graben, Peter 2 Gökçe, Aytül 2 Josić, Krešimir 2 Lin, Kevin K. 2 Potthast, Roland W. E. 2 Şaylı, Mustafa 2 Svensson, Carl-Magnus 1 Ashwin, Peter 1 Barrio, Roberto 1 Bicho, Estela 1 Bojak, Ingo 1 Bonilla-Quintana, Mayte 1 Brookes, Matthew J. 1 Byrne, Áine 1 Chkhenkeli, S. A. 1 Chow, Carson C. 1 Cocks, Abigail 1 Colbert, C. M. 1 Cornell-Bell, A. H. 1 deGrauw, A. 1 Desroches, Mathieu 1 Ditto, William L. 1 Doiron, Brent 1 Dolan, Kevin 1 Doole, S. H. 1 Ebersole, J. S. 1 Erlhagen, Wolfram 1 Faugeras, Olivier D. 1 Fenton, Flavio H. 1 Francis, Joseph T. 1 Gheorghe, Ana Maria 1 Gluckman, Bruce J. 1 Hecox, K. 1 Hetling, J. R. 1 Hunter, John D. 1 James, M. P. 1 Jerger, K. K. 1 Johnston, Alan B. 1 Jung, Peter 1 Kohrman, M. 1 Lima, Pedro Miguel 1 Luther, Stefan 1 Meijer, Hil G. E. 1 Michieletto, Davide 1 Milton, John G. 1 Modhara, Sunil 1 Moss, Frank E. 1 Netloff, T. I. 1 O’Dea, Reuben D. 1 Pecora, Louis M. 1 Pueyo, Esther 1 Rotstein, Horacio G. 1 Sauer, Timothy D. 1 Schiff, Steven J. 1 Shea-Brown, Eric 1 Spano, Mark L. 1 Strawsburg, R. 1 Svanstedt, Nils E. M. 1 Taylor, John Gerald 1 Towle, Vernon L. 1 Veasy, Joshua 1 Venkov, N. A. 1 Weinstein, S. L. 1 Winfree, Arthur Taylor 1 Wojtak, Weronika 1 Wright, James J. 1 Wyller, John A. 1 Young, Lai-Sang all top 5 Serials 9 Physica D 8 The Journal of Mathematical Neuroscience 6 SIAM Journal on Applied Dynamical Systems 5 Journal of Mathematical Biology 3 Biological Cybernetics 2 European Journal of Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Nonlinear Science and Numerical Simulation 1 IMA Journal of Applied Mathematics 1 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 Dynamics and Stability of Systems 1 Network (Bristol) 1 Journal of Computational Neuroscience 1 Chaos 1 Forma 1 Journal of Theoretical Biology 1 Journal of Computational Dynamics all top 5 Fields 61 Biology and other natural sciences (92-XX) 14 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 10 Integral equations (45-XX) 9 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 705 times in 453 Documents Cited by ▼ Year ▼ Waves, bumps, and patterns in neural field theories. Zbl 1116.92012Coombes, S. 114 2005 Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008Coombes, S. 57 2008 Waves and bumps in neuronal networks with axo-dendritic synaptic interactions. Zbl 1013.92006Coombes, S.; Lord, G. J.; Owen, M. R. 51 2003 Mathematical frameworks for oscillatory network dynamics in neuroscience. Zbl 1356.92015Ashwin, Peter; Coombes, Stephen; Nicks, Rachel 49 2016 Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019Coombes, S.; Owen, M. R. 49 2004 Neural fields. Theory and applications. Zbl 1291.92004 32 2014 Phase-amplitude descriptions of neural oscillator models. Zbl 1291.92052Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen 29 2013 Dynamic instabilities in scalar neural field equations with space-dependent delays. Zbl 1127.45002Venkov, N. A.; Coombes, S.; Matthews, P. C. 27 2007 Delays in activity-based neural networks. Zbl 1185.92003Coombes, Stephen; Laing, Carlo 25 2009 Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500 22 2005 Interface dynamics in planar neural field models. Zbl 1291.92028Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo 22 2012 Canard-like explosion of limit cycles in two-dimensional piecewise-linear models of Fitzhugh-Nagumo type. Zbl 1266.92043Rotstein, Horacio G.; Coombes, Stephen; Gheorghe, Ana Maria 20 2012 Epilepsy as a dynamic disease. Zbl 1058.92027 19 2003 Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060Bressloff, P. C.; Coombes, S. 14 1999 Branching dendrites with resonant membrane: a “sum-over-trips” approach. Zbl 1122.92007Coombes, S.; Timofeeva, Y.; Svensson, C.-M.; Lord, G. J.; Josić, K.; Cox, S. J.; Colbert, C. M. 13 2007 Neural fields with sigmoidal firing rates: Approximate solutions. Zbl 1200.65108Coombes, Stephen; Schmidt, Helmut 12 2010 Waves in random neural media. Zbl 1245.45008Coombes, Stephen; Schmidt, Helmut; Laing, Carlo R.; Svanstedt, Nils; Wyller, John A. 11 2012 Understanding cardiac alternans: A piecewise linear modeling framework. Zbl 1311.92056Thul, R.; Coombes, S. 10 2010 Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057Bressloff, P. C.; Coombes, S. 10 1999 Existence and wandering of bumps in a spiking neural network model. Zbl 1210.92001Chow, Carson C.; Coombes, S. 10 2006 A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022Bressloff, P. C.; Coombes, S. 9 2000 Phase locking in networks of synaptically coupled McKean relaxation oscillators. Zbl 1013.92005Coombes, S. 9 2001 Standing and travelling waves in a spherical brain model: the Nunez model revisited. Zbl 1376.92014Visser, S.; Nicks, R.; Faugeras, O.; Coombes, S. 9 2017 Exotic dynamics in a firing rate model of neural tissue with threshold accommodation. Zbl 1297.92016Coombes, S.; Owen, M. R. 8 2007 Synchrony in networks of coupled non-smooth dynamical systems: extending the master stability function. Zbl 1384.34064Coombes, Stephen; Thul, Rüdiger 8 2016 Limitations of perturbative techniques in the analysis of rhythms and oscillations. Zbl 1256.92006Lin, Kevin K.; Wedgwood, Kyle C. A.; Coombes, Stephen; Young, Lai-Sang 7 2013 Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004Coombes, S.; Bressloff, P. C. 7 2000 The effect of ion pumps on the speed of travelling waves in the fire-diffuse-fire model of Ca\(^{2+}\) release. Zbl 1323.92068Coombes, S. 5 2001 Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue. Zbl 1066.74552Lord, G. J.; Coombes, S. 5 2002 Wave bifurcation and propagation failure in a model of Ca\(^{2+}\) release. Zbl 1037.92014Timofeeva, Y.; Coombes, S. 4 2003 Mode locking in a periodically forced “ghostbursting” neuron model. Zbl 1089.37052Laing, Carlo R.; Coombes, Stephen 4 2005 Travelling waves in a neural field model with refractoriness. Zbl 1345.92044Meijer, Hil G. E.; Coombes, Stephen 4 2014 Networks of piecewise linear neural mass models. Zbl 1401.92008Coombes, S.; Lai, Y. M.; Şayli, M.; Thul, R. 4 2018 The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. Zbl 1395.92036Gökçe, Aytül; Avitabile, Daniele; Coombes, Stephen 3 2017 A bidomain threshold model of propagating calcium waves. Zbl 1143.92007Thul, R.; Smith, G. D.; Coombes, S. 3 2008 From periodic travelling waves to travelling fronts in the spike-diffuse-spike model of dendritic waves. Zbl 1005.92005Coombes, S. 3 2001 Gap junctions, dendrites and resonances: a recipe for tuning network dynamics. Zbl 1291.92050Timofeeva, Yulia; Coombes, Stephen; Michieletto, Davide 3 2013 Neuronal population dynamics with post inhibitory rebound: A reduction to piecewise linear discontinuous circle maps. Zbl 0864.92008Coombes, S.; Doole, S. H. 2 1996 Tutorial on neural field theory. Zbl 1462.92011Coombes, Stephen; Graben, Peter Beim; Potthast, Roland 2 2014 A mean field model for movement induced changes in the beta rhythm. Zbl 1402.92078Byrne, Áine; Brookes, Matthew J.; Coombes, Stephen 2 2017 An analysis of waves underlying grid cell firing in the medial enthorinal cortex. Zbl 1395.92033Bonilla-Quintana, Mayte; Wedgwood, Kyle C. A.; O’Dea, Reuben D.; Coombes, Stephen 1 2017 Instabilities in threshold-diffusion equations with delay. Zbl 1156.37312Coombes, S.; Laing, C. R. 1 2009 Mode locking in a spatially extended neuron model: active soma and compartmental tree. Zbl 1175.34063Svensson, C.-M.; Coombes, S. 1 2009 A stochastic fire-diffuse-fire model of \(Ca^{2+}\) release. Zbl 1031.92011Timofeeva, Yulia; Coombes, Stephen 1 2003 Neural field models with threshold noise. Zbl 1356.92021Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R. 1 2016 A dynamic neural field model of continuous input integration. Zbl 1480.92021Wojtak, Weronika; Coombes, Stephen; Avitabile, Daniele; Bicho, Estela; Erlhagen, Wolfram 1 2021 Complex patterns of subcellular cardiac alternans. Zbl 1416.92055Veasy, Joshua; Lai, Yi Ming; Coombes, Stephen; Thul, Rüdiger 1 2019 Synchrony in networks of Franklin bells. Zbl 1429.34060Şayli, Mustafa; Lai, Yi Ming; Thul, Rüdiger; Coombes, Stephen 1 2019 A dynamic neural field model of continuous input integration. Zbl 1480.92021Wojtak, Weronika; Coombes, Stephen; Avitabile, Daniele; Bicho, Estela; Erlhagen, Wolfram 1 2021 Complex patterns of subcellular cardiac alternans. Zbl 1416.92055Veasy, Joshua; Lai, Yi Ming; Coombes, Stephen; Thul, Rüdiger 1 2019 Synchrony in networks of Franklin bells. Zbl 1429.34060Şayli, Mustafa; Lai, Yi Ming; Thul, Rüdiger; Coombes, Stephen 1 2019 Networks of piecewise linear neural mass models. Zbl 1401.92008Coombes, S.; Lai, Y. M.; Şayli, M.; Thul, R. 4 2018 Standing and travelling waves in a spherical brain model: the Nunez model revisited. Zbl 1376.92014Visser, S.; Nicks, R.; Faugeras, O.; Coombes, S. 9 2017 The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. Zbl 1395.92036Gökçe, Aytül; Avitabile, Daniele; Coombes, Stephen 3 2017 A mean field model for movement induced changes in the beta rhythm. Zbl 1402.92078Byrne, Áine; Brookes, Matthew J.; Coombes, Stephen 2 2017 An analysis of waves underlying grid cell firing in the medial enthorinal cortex. Zbl 1395.92033Bonilla-Quintana, Mayte; Wedgwood, Kyle C. A.; O’Dea, Reuben D.; Coombes, Stephen 1 2017 Mathematical frameworks for oscillatory network dynamics in neuroscience. Zbl 1356.92015Ashwin, Peter; Coombes, Stephen; Nicks, Rachel 49 2016 Synchrony in networks of coupled non-smooth dynamical systems: extending the master stability function. Zbl 1384.34064Coombes, Stephen; Thul, Rüdiger 8 2016 Neural field models with threshold noise. Zbl 1356.92021Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R. 1 2016 Neural fields. Theory and applications. Zbl 1291.92004 32 2014 Travelling waves in a neural field model with refractoriness. Zbl 1345.92044Meijer, Hil G. E.; Coombes, Stephen 4 2014 Tutorial on neural field theory. Zbl 1462.92011Coombes, Stephen; Graben, Peter Beim; Potthast, Roland 2 2014 Phase-amplitude descriptions of neural oscillator models. Zbl 1291.92052Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen 29 2013 Limitations of perturbative techniques in the analysis of rhythms and oscillations. Zbl 1256.92006Lin, Kevin K.; Wedgwood, Kyle C. A.; Coombes, Stephen; Young, Lai-Sang 7 2013 Gap junctions, dendrites and resonances: a recipe for tuning network dynamics. Zbl 1291.92050Timofeeva, Yulia; Coombes, Stephen; Michieletto, Davide 3 2013 Interface dynamics in planar neural field models. Zbl 1291.92028Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo 22 2012 Canard-like explosion of limit cycles in two-dimensional piecewise-linear models of Fitzhugh-Nagumo type. Zbl 1266.92043Rotstein, Horacio G.; Coombes, Stephen; Gheorghe, Ana Maria 20 2012 Waves in random neural media. Zbl 1245.45008Coombes, Stephen; Schmidt, Helmut; Laing, Carlo R.; Svanstedt, Nils; Wyller, John A. 11 2012 Neural fields with sigmoidal firing rates: Approximate solutions. Zbl 1200.65108Coombes, Stephen; Schmidt, Helmut 12 2010 Understanding cardiac alternans: A piecewise linear modeling framework. Zbl 1311.92056Thul, R.; Coombes, S. 10 2010 Delays in activity-based neural networks. Zbl 1185.92003Coombes, Stephen; Laing, Carlo 25 2009 Instabilities in threshold-diffusion equations with delay. Zbl 1156.37312Coombes, S.; Laing, C. R. 1 2009 Mode locking in a spatially extended neuron model: active soma and compartmental tree. Zbl 1175.34063Svensson, C.-M.; Coombes, S. 1 2009 Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008Coombes, S. 57 2008 A bidomain threshold model of propagating calcium waves. Zbl 1143.92007Thul, R.; Smith, G. D.; Coombes, S. 3 2008 Dynamic instabilities in scalar neural field equations with space-dependent delays. Zbl 1127.45002Venkov, N. A.; Coombes, S.; Matthews, P. C. 27 2007 Branching dendrites with resonant membrane: a “sum-over-trips” approach. Zbl 1122.92007Coombes, S.; Timofeeva, Y.; Svensson, C.-M.; Lord, G. J.; Josić, K.; Cox, S. J.; Colbert, C. M. 13 2007 Exotic dynamics in a firing rate model of neural tissue with threshold accommodation. Zbl 1297.92016Coombes, S.; Owen, M. R. 8 2007 Existence and wandering of bumps in a spiking neural network model. Zbl 1210.92001Chow, Carson C.; Coombes, S. 10 2006 Waves, bumps, and patterns in neural field theories. Zbl 1116.92012Coombes, S. 114 2005 Bursting. The genesis of rhythm in the nervous system. Zbl 1094.92500 22 2005 Mode locking in a periodically forced “ghostbursting” neuron model. Zbl 1089.37052Laing, Carlo R.; Coombes, Stephen 4 2005 Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019Coombes, S.; Owen, M. R. 49 2004 Waves and bumps in neuronal networks with axo-dendritic synaptic interactions. Zbl 1013.92006Coombes, S.; Lord, G. J.; Owen, M. R. 51 2003 Epilepsy as a dynamic disease. Zbl 1058.92027 19 2003 Wave bifurcation and propagation failure in a model of Ca\(^{2+}\) release. Zbl 1037.92014Timofeeva, Y.; Coombes, S. 4 2003 A stochastic fire-diffuse-fire model of \(Ca^{2+}\) release. Zbl 1031.92011Timofeeva, Yulia; Coombes, Stephen 1 2003 Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue. Zbl 1066.74552Lord, G. J.; Coombes, S. 5 2002 Phase locking in networks of synaptically coupled McKean relaxation oscillators. Zbl 1013.92005Coombes, S. 9 2001 The effect of ion pumps on the speed of travelling waves in the fire-diffuse-fire model of Ca\(^{2+}\) release. Zbl 1323.92068Coombes, S. 5 2001 From periodic travelling waves to travelling fronts in the spike-diffuse-spike model of dendritic waves. Zbl 1005.92005Coombes, S. 3 2001 A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators. Zbl 0947.34022Bressloff, P. C.; Coombes, S. 9 2000 Solitary waves in a model of dendritic cable with active spines. Zbl 1016.92004Coombes, S.; Bressloff, P. C. 7 2000 Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. Zbl 0937.34060Bressloff, P. C.; Coombes, S. 14 1999 Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays. Zbl 0934.34057Bressloff, P. C.; Coombes, S. 10 1999 Neuronal population dynamics with post inhibitory rebound: A reduction to piecewise linear discontinuous circle maps. Zbl 0864.92008Coombes, S.; Doole, S. H. 2 1996 all cited Publications top 5 cited Publications all top 5 Cited by 674 Authors 32 Coombes, Stephen 18 Laing, Carlo R. 16 Bressloff, Paul C. 15 Wyller, John A. 12 Kilpatrick, Zachary P. 10 Llibre, Jaume 10 Thul, Rüdiger 9 Oleynik, Anna 9 Wilson, Dan D. 8 Faugeras, Olivier D. 8 Robinson, Peter A. 7 Ashwin, Peter 7 Bick, Christian 7 Desroches, Mathieu 7 Einevoll, Gaute T. 7 Ermentrout, Bard G. 7 Hutt, Axel 7 Novaes, Douglas Duarte 7 Ponosov, Arkadiĭ Vladimirovich 7 Rubin, Jonathan E. 7 Veltz, Romain 6 Avitabile, Daniele 6 Faye, Grégory 6 Ponce, Enrique 5 Campbell, Sue Ann 5 Huguet, Gemma 5 MacLaurin, James N. 5 Rotstein, Horacio G. 5 Timofeeva, Yulia 5 van Gils, Stephan A. 5 Zhang, Linghai 4 Burlakov, Evgenii O. 4 Chossat, Pascal 4 Fernández-García, Soledad 4 Guillamon, Antoni 4 Kloeden, Peter Eris 4 Kühn, Christian 4 Lai, Yi Ming 4 Nijmeijer, Henk 4 Omel’chenko, Oleh E. 4 Park, Youngmin 4 Pérez-Cervera, Alberto 4 Potthast, Roland W. E. 4 Rankin, James 4 M-Seara, Tere 4 Steur, Erik 4 Teruel, Antonio E. 4 Torregrosa, Joan 3 Amari, Shun-ichi 3 beim Graben, Peter 3 Bel, Andrea L. 3 Bhowmik, Samir Kumar 3 Cessac, Bruno 3 Chaillet, Antoine 3 Erlhagen, Wolfram 3 Jirsa, Viktor K. 3 Josić, Krešimir 3 Kevrekidis, Ioannis George 3 Kolodina, Karina 3 Kostrykin, Vadim V. 3 Krupa, Martin 3 Kuznetsov, Yuri Alexandrovich 3 Letson, Benjamin 3 Lima, Pedro Miguel 3 Longtin, André 3 Mauroy, Alexandre 3 Medvedev, Georgi S. 3 Mezić, Igor 3 Moehlis, Jeff 3 Nakao, Hiroya 3 Nicks, Rachel 3 Poll, Daniel B. 3 Prohens, Rafel 3 Rougier, Nicolas P. 3 Schmidt, Helmut 3 Simpson, David John Warwick 3 Visser, Sid 3 Volpert, Vitaly A. 3 Wedgwood, Kyle C. A. 2 Beuter, Anne 2 Bicho, Estela 2 Blomquist, Patrick 2 Bojak, Ingo 2 Brackley, Chris A. 2 Burylko, O. A. 2 Castejón, Oriol 2 Chapman, Stephen Jonathan 2 Chen, Xinfu 2 Chung, Kwok-Wai 2 Clément, Frédérique 2 Cobiaga, Romina 2 Dahlem, Markus A. 2 de la Llave, Rafael 2 Detorakis, Georgios Is. 2 Dijkstra, Koen 2 Drysdale, P. M. 2 Engel, Harald 2 Esteban, Marina 2 Euzébio, Rodrigo D. 2 Ferrario, Andrea ...and 574 more Authors all top 5 Cited in 92 Serials 62 Physica D 37 The Journal of Mathematical Neuroscience 35 SIAM Journal on Applied Dynamical Systems 30 Chaos 24 Biological Cybernetics 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Journal of Computational Neuroscience 14 Neural Computation 14 Communications in Nonlinear Science and Numerical Simulation 13 Journal of Mathematical Biology 11 Journal of Theoretical Biology 9 Journal of Mathematical Analysis and Applications 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Nonlinear Science 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Nonlinearity 5 Journal of Differential Equations 5 European Journal of Applied Mathematics 5 Differential Equations and Dynamical Systems 4 Mathematical Biosciences 4 Bulletin of Mathematical Biology 4 Chaos, Solitons and Fractals 4 Neural Networks 4 SIAM Journal on Applied Mathematics 3 Applied Mathematics and Computation 3 Automatica 3 Journal of Computational and Applied Mathematics 3 Journal of Mathematical Sciences (New York) 3 Journal of Difference Equations and Applications 3 Nonlinear Dynamics 3 Nonlinear Analysis. Real World Applications 3 Mathematical Biosciences and Engineering 2 International Journal of Modern Physics B 2 Physica A 2 Physics Letters. A 2 SIAM Journal on Mathematical Analysis 2 Bulletin des Sciences Mathématiques 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete Dynamics in Nature and Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Modelling of Natural Phenomena 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 BIT 1 Integral Equations and Operator Theory 1 Mathematics and Computers in Simulation 1 Applied Mathematics and Mechanics. (English Edition) 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Automation and Remote Control 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 PAA. Pattern Analysis and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Dynamical Systems 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Complex Variables and Elliptic Equations 1 Acta Mechanica Sinica 1 Journal of Physics A: Mathematical and Theoretical 1 Nonlinear Analysis. Hybrid Systems 1 Journal of Applied Analysis and Computation 1 Journal of Computational Dynamics 1 Mathematics 1 Nelineĭnaya Dinamika 1 Electronic Research Archive 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 33 Fields 306 Biology and other natural sciences (92-XX) 168 Ordinary differential equations (34-XX) 104 Dynamical systems and ergodic theory (37-XX) 84 Partial differential equations (35-XX) 60 Integral equations (45-XX) 34 Numerical analysis (65-XX) 23 Probability theory and stochastic processes (60-XX) 21 Systems theory; control (93-XX) 13 Operator theory (47-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Mechanics of particles and systems (70-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Computer science (68-XX) 6 Combinatorics (05-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Functional analysis (46-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year