Edit Profile (opens in new tab) van Gils, Stephan A. Compute Distance To: Compute Author ID: van-gils.stephan-a Published as: van Gils, S. A.; van Gils, Stephan A.; van Gils, Stephan; Van Gils, S. A.; van Gils, S.; Van Gils, Stephan A.; Van Gils, Stephen A.; Van Gils, Stephan; van Gils, S. A; Van Gils, S. more...less Homepage: http://wwwhome.math.utwente.nl/~gilssa/Welcome.html External Links: MGP Documents Indexed: 55 Publications since 1980, including 3 Books 1 Contribution as Editor Co-Authors: 66 Co-Authors with 54 Joint Publications 1,225 Co-Co-Authors all top 5 Co-Authors 2 single-authored 13 Diekmann, Odo 5 Krupa, Martin 4 Kuznetsov, Yuri Alexandrovich 4 Meijer, Hil G. E. 3 Davydova, Natalia V. 3 Derks, Gianne 3 Dijkstra, Koen 3 Susanto, Hadi 3 Valkering, Theo P. 3 Visser, Sid 2 Aronson, Donald G. 2 Brune, Christoph 2 Doelman, Arjen 2 Golubitsky, Martin A. 2 Janssens, Sebastiaan G. 2 Polner, Mónika 2 Soewono, Edy 2 Spek, Len 2 Tchistiakov, Viktor 2 Terstappen, Leon W. M. M. 2 van Putten, Michel J. A. M. 2 Visser, Timco P. P. 2 Zeune, Leonie 1 Bogaerts, J. 1 Broer, Henk W. 1 Buitenweg, Jan R. 1 Carr, Jack 1 Cowan, Jack D. 1 Doll, Robert J. 1 Drachman, Byron C. 1 Eissa, Tahra L. 1 Emerson, Ronald G. 1 Goodman, Robert R. 1 Hebbink, Jurgen 1 Khorozov, Emil Ivanov 1 Hoveijn, Igor 1 Kiewiet, Bert 1 Koopman, H. F. J. M. 1 Langford, William F. 1 Mallet-Paret, John Joseph 1 Marcuccilli, Charles J. 1 McKhann, Guy M. 1 Neuman, Jeremy F. 1 Salam, Fathi M. Abdel 1 Sanders, Jan A. 1 Schevon, Catherine A. 1 Sevrin, Alexander 1 Silber, Mary 1 Supriatna, Asep K. 1 Szmolyan, Peter 1 Takens, Floris 1 Tryba, Andrew K. 1 van Dalum, Guus 1 van den Berg, Jan Bouwe 1 van der Helm, Frans C. T. 1 Van der Loo, Saskia 1 van der Vegt, Jaap J. W. 1 Van Drongelen, Wim 1 Van Groesen, Embrecht W. C. 1 Vanderbauwhede, Andre L. 1 Verdaasdonk, B. W. 1 Verduyn Lunel, Sjoerd M. 1 Walther, Hans-Otto 1 Yang, Huan 1 Zhang, Zhifen 1 Zhang, Zhifun all top 5 Serials 4 The Journal of Mathematical Neuroscience 3 Nonlinearity 3 Journal of Differential Equations 2 Biological Cybernetics 2 Journal of Mathematical Biology 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Delft Progress Report 2 Physica D 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Applied Dynamical Systems 1 Mathematical Biosciences 1 Nuclear Physics. B 1 Physics Letters. A 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Japan Journal of Applied Mathematics 1 Differential and Integral Equations 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Journal of Difference Equations and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Applied Mathematical Sciences 1 SIAM Journal on Imaging Sciences 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 25 Ordinary differential equations (34-XX) 21 Biology and other natural sciences (92-XX) 20 Dynamical systems and ergodic theory (37-XX) 12 Partial differential equations (35-XX) 7 Operator theory (47-XX) 6 Integral equations (45-XX) 6 Numerical analysis (65-XX) 5 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 796 times in 725 Documents Cited by ▼ Year ▼ Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 377 1995 Center manifolds and contractions on a scale of Banach spaces. Zbl 0621.47050Vanderbauwhede, A.; Van Gils, S. A. 86 1987 Hopf bifurcation with non-semisimple 1:1 resonance. Zbl 0709.58027van Gils, S. A.; Krupa, M.; Langford, W. F. 32 1990 Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024Davydova, N. V.; Diekmann, O.; van Gils, S. A. 27 2003 Asymptotic expansions using blow-up. Zbl 1081.34052van Gils, S.; Krupa, M.; Szmolyan, P. 20 2005 On local bifurcations in neural field models with transmission delays. Zbl 1266.37040van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S. 18 2013 On circulant populations. I: The algebra of semelparity. Zbl 1062.92051Davydova, N. V.; Diekmann, O.; van Gils, S. A. 18 2005 Hopf bifurcation and symmetry: travelling and standing waves on the circle. Zbl 0629.35012Van Gils, Stephan A.; Mallet-Paret, John 15 1986 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004Diekmann, O.; van Gils, S. A. 14 1984 A two-age-classes dengue transmission model. Zbl 1151.92019Supriatna, A. K.; Soewono, E.; van Gils, S. A. 14 2008 On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044Diekmann, O.; van Gils, S. A. 13 2009 Properties of semi-chiral superfields. Zbl 0958.81194Bogaerts, J.; Sevrin, A.; van der Loo, S.; Van Gils, S. 13 1999 On the uniqueness of traveling waves in perturbed Korteweg-de Vries equations. Zbl 0806.35154Derks, Gianne; van Gils, Stephan 13 1993 On a boom and bust year class cycle. Zbl 1067.92047Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan 11 2005 Hopf bifurcation and symmetry: Standing and travelling waves in a circular chain. Zbl 0642.58038van Gils, Stephan A.; Valkering, Theo 11 1986 Abelian integrals for quadratic vector fields. Zbl 0621.58033Drachman, B.; van Gils, S. A.; Zhang, Zhifun 10 1987 The center manifold for delay equations in the light of suns and stars. Zbl 0742.47009Diekmann, Odo; van Gils, Stephan A. 9 1991 A note on: Abelian integrals and bifurcation theory. Zbl 0642.34023van Gils, Stephan A. 9 1985 Parameter dependence of homoclinic solutions in a single long Josephson junction. Zbl 1042.34081van den Berg, J. B.; van Gils, S. A.; Visser, T. P. P. 8 2003 Bifurcation and stability analysis in musculoskeletal systems: a study in human stance. Zbl 1060.92013Verdaasdonk, B. W.; Koopman, H. F. J. M.; van Gils, S. A.; van der Helm, F. C. T. 7 2004 Travelling waves in a singularly perturbed sine-Gordon equation. Zbl 1040.35093Derks, Gianne; Doelman, Arjen; van Gils, Stephan A.; Visser, Timco 7 2003 Homoclinic twist bifurcations with \(\mathbb{Z}_ 2\) symmetry. Zbl 0799.58052Aronson, D. G.; van Gils, S. A.; Krupa, M. 6 1994 Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays. Zbl 1392.37041Dijkstra, K.; van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S. 6 2015 Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim 5 2015 Multiscale segmentation via Bregman distances and nonlinear spectral analysis. Zbl 1372.35315Zeune, Leonie; van Dalum, Guus; Terstappen, Leon W. M. M.; van Gils, Stephan A.; Brune, Christoph 5 2017 Stability analysis of \(\pi\)-Kinks in a \(0-\pi\) Josephson junction. Zbl 1210.39014Derks, G.; Doelman, A.; Van Gils, S. A.; Susanto, H. 5 2007 On the uniqueness of invariant tori in \(D_ 4\times S^ 1\) symmetric systems. Zbl 0832.34029van Gils, S. A.; Silber, M. 4 1995 Existence and stability analysis of solitary waves in a tricrystal junction. Zbl 1136.35450Susanto, H.; Van Gils, S. A. 4 2005 A space-time finite element method for neural field equations with transmission delays. Zbl 1373.65072Polner, Mónika; van der Vegt, J. J. W.; van Gils, S. A. 3 2017 Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays. Zbl 1291.92051Visser, Sid; Meijer, Hil G. E.; van Putten, Michel J. A. M.; van Gils, Stephan A. 3 2012 Invariance and symmetry in a year-class model. Zbl 1040.39001Diekmann, O.; van Gils, S. A. 3 2003 An inhomogeneous Picard-Fuchs equation. Zbl 0810.58033van Gils, S. A. 3 1994 Nonresonant bifurcations with symmetry. Zbl 0624.34026Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0464.45007Diekmann, O.; van Gils, S. A. 2 1981 Homoclinic twist bifurcation in a system of two coupled oscillators. Zbl 1002.34027van Gils, Stephan A.; Krupa, Martin; Tchistiakov, Viktor 2 2000 A torus bifurcation theorem with symmetry. Zbl 0695.34041van Gils, S. A; Golubitsky, M. 2 1990 Difference equations with delay. Zbl 1306.39003Diekmann, Odo; van Gils, Stephan A. 2 2000 Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032 1 1996 Modulated waves in a perturbed Korteweg-de Vries equation. Zbl 0852.35125van Gils, Stephan A.; Soewono, Edy 1 1996 Bifurcation of periodic orbits near a frequency maximum in near- integrable driven oscillators with friction. Zbl 0778.70017Valkering, T. P.; van Gils, S. A. 1 1993 A variation-of-constants formula for nonlinear Volterra integral equations of convolution type. Zbl 0461.45008Diekmann, Odo; van Gils, Stephan 1 1981 On analysis of inputs triggering large nonlinear neural responses slow-fast dynamics in the wendling neural mass model. Zbl 1451.92017Hebbink, Jurgen; van Gils, Stephan A.; Meijer, Hil G. E. 1 2020 Uniqueness of limit cycles in planar vector fields which leave the axes invariant. Zbl 0595.34032van Gils, Stephan A.; Horozov, Emil 1 1986 On analysis of inputs triggering large nonlinear neural responses slow-fast dynamics in the wendling neural mass model. Zbl 1451.92017Hebbink, Jurgen; van Gils, Stephan A.; Meijer, Hil G. E. 1 2020 Multiscale segmentation via Bregman distances and nonlinear spectral analysis. Zbl 1372.35315Zeune, Leonie; van Dalum, Guus; Terstappen, Leon W. M. M.; van Gils, Stephan A.; Brune, Christoph 5 2017 A space-time finite element method for neural field equations with transmission delays. Zbl 1373.65072Polner, Mónika; van der Vegt, J. J. W.; van Gils, S. A. 3 2017 Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays. Zbl 1392.37041Dijkstra, K.; van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S. 6 2015 Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim 5 2015 On local bifurcations in neural field models with transmission delays. Zbl 1266.37040van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S. 18 2013 Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays. Zbl 1291.92051Visser, Sid; Meijer, Hil G. E.; van Putten, Michel J. A. M.; van Gils, Stephan A. 3 2012 On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044Diekmann, O.; van Gils, S. A. 13 2009 A two-age-classes dengue transmission model. Zbl 1151.92019Supriatna, A. K.; Soewono, E.; van Gils, S. A. 14 2008 Stability analysis of \(\pi\)-Kinks in a \(0-\pi\) Josephson junction. Zbl 1210.39014Derks, G.; Doelman, A.; Van Gils, S. A.; Susanto, H. 5 2007 Asymptotic expansions using blow-up. Zbl 1081.34052van Gils, S.; Krupa, M.; Szmolyan, P. 20 2005 On circulant populations. I: The algebra of semelparity. Zbl 1062.92051Davydova, N. V.; Diekmann, O.; van Gils, S. A. 18 2005 On a boom and bust year class cycle. Zbl 1067.92047Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan 11 2005 Existence and stability analysis of solitary waves in a tricrystal junction. Zbl 1136.35450Susanto, H.; Van Gils, S. A. 4 2005 Bifurcation and stability analysis in musculoskeletal systems: a study in human stance. Zbl 1060.92013Verdaasdonk, B. W.; Koopman, H. F. J. M.; van Gils, S. A.; van der Helm, F. C. T. 7 2004 Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024Davydova, N. V.; Diekmann, O.; van Gils, S. A. 27 2003 Parameter dependence of homoclinic solutions in a single long Josephson junction. Zbl 1042.34081van den Berg, J. B.; van Gils, S. A.; Visser, T. P. P. 8 2003 Travelling waves in a singularly perturbed sine-Gordon equation. Zbl 1040.35093Derks, Gianne; Doelman, Arjen; van Gils, Stephan A.; Visser, Timco 7 2003 Invariance and symmetry in a year-class model. Zbl 1040.39001Diekmann, O.; van Gils, S. A. 3 2003 Homoclinic twist bifurcation in a system of two coupled oscillators. Zbl 1002.34027van Gils, Stephan A.; Krupa, Martin; Tchistiakov, Viktor 2 2000 Difference equations with delay. Zbl 1306.39003Diekmann, Odo; van Gils, Stephan A. 2 2000 Properties of semi-chiral superfields. Zbl 0958.81194Bogaerts, J.; Sevrin, A.; van der Loo, S.; Van Gils, S. 13 1999 Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032 1 1996 Modulated waves in a perturbed Korteweg-de Vries equation. Zbl 0852.35125van Gils, Stephan A.; Soewono, Edy 1 1996 Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 377 1995 On the uniqueness of invariant tori in \(D_ 4\times S^ 1\) symmetric systems. Zbl 0832.34029van Gils, S. A.; Silber, M. 4 1995 Homoclinic twist bifurcations with \(\mathbb{Z}_ 2\) symmetry. Zbl 0799.58052Aronson, D. G.; van Gils, S. A.; Krupa, M. 6 1994 An inhomogeneous Picard-Fuchs equation. Zbl 0810.58033van Gils, S. A. 3 1994 On the uniqueness of traveling waves in perturbed Korteweg-de Vries equations. Zbl 0806.35154Derks, Gianne; van Gils, Stephan 13 1993 Bifurcation of periodic orbits near a frequency maximum in near- integrable driven oscillators with friction. Zbl 0778.70017Valkering, T. P.; van Gils, S. A. 1 1993 The center manifold for delay equations in the light of suns and stars. Zbl 0742.47009Diekmann, Odo; van Gils, Stephan A. 9 1991 Hopf bifurcation with non-semisimple 1:1 resonance. Zbl 0709.58027van Gils, S. A.; Krupa, M.; Langford, W. F. 32 1990 A torus bifurcation theorem with symmetry. Zbl 0695.34041van Gils, S. A; Golubitsky, M. 2 1990 Center manifolds and contractions on a scale of Banach spaces. Zbl 0621.47050Vanderbauwhede, A.; Van Gils, S. A. 86 1987 Abelian integrals for quadratic vector fields. Zbl 0621.58033Drachman, B.; van Gils, S. A.; Zhang, Zhifun 10 1987 Nonresonant bifurcations with symmetry. Zbl 0624.34026Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 Hopf bifurcation and symmetry: travelling and standing waves on the circle. Zbl 0629.35012Van Gils, Stephan A.; Mallet-Paret, John 15 1986 Hopf bifurcation and symmetry: Standing and travelling waves in a circular chain. Zbl 0642.58038van Gils, Stephan A.; Valkering, Theo 11 1986 Uniqueness of limit cycles in planar vector fields which leave the axes invariant. Zbl 0595.34032van Gils, Stephan A.; Horozov, Emil 1 1986 A note on: Abelian integrals and bifurcation theory. Zbl 0642.34023van Gils, Stephan A. 9 1985 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004Diekmann, O.; van Gils, S. A. 14 1984 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0464.45007Diekmann, O.; van Gils, S. A. 2 1981 A variation-of-constants formula for nonlinear Volterra integral equations of convolution type. Zbl 0461.45008Diekmann, Odo; van Gils, Stephan 1 1981 all cited Publications top 5 cited Publications all top 5 Cited by 956 Authors 24 Diekmann, Odo 20 Walther, Hans-Otto 18 Breda, Dimitri 15 Rezunenko, Oleksandr V”yacheslavovych 15 Wu, Jianhong 13 Barreira, Luis Manuel 13 Valls Anglés, Cláudia 12 Gyllenberg, Mats 12 van Gils, Stephan A. 12 Vermiglio, Rossana 11 Guo, Shangjiang 11 Verduyn Lunel, Sjoerd M. 10 Krisztin, Tibor 9 Vaidyanathan, Sundarapandian 8 Krauskopf, Bernd 8 Röst, Gergely 8 Scarabel, Francesca 7 Chen, Yuming 7 Getto, Philipp 7 Hupkes, Hermen Jan 7 Lu, Kening 6 Chow, Shui-Nee 6 Humphries, Antony R. 6 Magal, Pierre 6 Maset, Stefano 6 Nakata, Yukihiko 6 Ruan, Shigui 6 Shen, Jun 6 Wikan, Arild 5 Baker, Christopher Thomas Hale 5 Calsina, Àngel 5 Cushing, Jim M. 5 Green, Kirk 5 Knobloch, Edgar 5 Lani-Wayda, Bernhard 5 Philos, Christos G. 5 van Gaans, Onno Ward 5 Yi, Yingfei 4 Chicone, Carmen C. 4 Chueshov, Igor’ Dmitrievich 4 Church, Kevin E. M. 4 Fan, Yan 4 Ivanov, Anatoli F. 4 Jiang, Jifa 4 Kon, Ryusuke 4 Kuznetsov, Yuri Alexandrovich 4 Liessi, Davide 4 Lindström, Ulf 4 Mallet-Paret, John Joseph 4 Marsden, Jerrold Eldon 4 Niculescu, Silviu-Iulian 4 Niu, Lei 4 Nussbaum, Roger David 4 Polner, Mónika 4 Popović, Nikola 4 Purnaras, Ioannis K. 4 Schneider, Isabelle 4 Stumpf, Eugen 4 Trofimchuk, Sergei I. 4 Vas, Gabriella 4 Xu, Yang 4 Zhao, Jingjun 4 Zhao, Yulin 3 Angulo Pava, Jaime 3 Augeraud-Véron, Emmanuelle 3 Barril, Carles 3 Boussaada, Islam 3 Crichigno, P. Marcos 3 De Cesare, Luigi 3 de Wolff, B. A. J. 3 Derks, Gianne 3 Doelman, Arjen 3 Ducrot, Arnaud 3 ElBialy, Mohamed Sami 3 Faye, Grégory 3 Fiedler, Bernold 3 Golubitsky, Martin A. 3 Gozzi, Fausto 3 Guo, Lina 3 Hbid, Moulay Lhassan 3 Hbid, My Lhassan 3 Homburg, Ale Jan 3 Huang, Chengming 3 Huang, Lihong 3 Janssens, Sebastiaan G. 3 Jardón-Kojakhmetov, Hildeberto 3 Kaslik, Eva 3 Koopman, H. F. J. M. 3 Langford, William F. 3 Liu, Weishi 3 Liu, Xinzhi 3 Liu, Zhihua 3 Liz, Eduardo 3 Nakaoka, Shinji 3 Namachchivaya, N. Sri 3 Orosz, Gábor 3 Pham Huu Anh Ngoc 3 Plaza, Ramón G. 3 Qesmi, Redouane 3 Riedle, Markus ...and 856 more Authors all top 5 Cited in 186 Serials 88 Journal of Differential Equations 40 Journal of Dynamics and Differential Equations 26 Journal of Mathematical Analysis and Applications 25 Journal of Mathematical Biology 21 Physica D 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Discrete and Continuous Dynamical Systems. Series B 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Journal of Computational and Applied Mathematics 14 Discrete and Continuous Dynamical Systems 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Transactions of the American Mathematical Society 10 Nonlinear Dynamics 9 Mathematical Biosciences 9 SIAM Journal on Applied Dynamical Systems 9 Discrete and Continuous Dynamical Systems. Series S 8 Applied Mathematics Letters 8 Mathematical and Computer Modelling 8 Journal of Nonlinear Science 8 Communications in Nonlinear Science and Numerical Simulation 8 Journal of High Energy Physics 8 Journal of Biological Dynamics 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Mathematical Sciences (New York) 7 Journal of Difference Equations and Applications 7 Chaos 6 Bulletin of Mathematical Biology 6 Applied Mathematics and Computation 5 Acta Applicandae Mathematicae 5 SIAM Journal on Mathematical Analysis 5 Qualitative Theory of Dynamical Systems 5 Nonlinear Analysis. Real World Applications 5 The Journal of Mathematical Neuroscience 4 Biological Cybernetics 4 Communications in Mathematical Physics 4 Chaos, Solitons and Fractals 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Functional Analysis 4 Mathematics and Computers in Simulation 4 Numerische Mathematik 4 Applied Numerical Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Acta Mathematica Sinica. English Series 4 Journal of Applied Mathematics 4 Communications on Pure and Applied Analysis 3 Journal of Computational Physics 3 Rocky Mountain Journal of Mathematics 3 Integral Equations and Operator Theory 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Numerical Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Japan Journal of Applied Mathematics 3 Numerical Algorithms 3 Indagationes Mathematicae. New Series 3 Physics of Fluids 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Journal of Evolution Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Applied Mathematics and Computing 3 Symmetry 3 Journal of Theoretical Biology 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Mathematical Notes 2 Nonlinearity 2 Periodica Mathematica Hungarica 2 Advances in Mathematics 2 Applied Mathematics and Optimization 2 Automatica 2 Functional Analysis and its Applications 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Theoretical Population Biology 2 European Journal of Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 2 Potential Analysis 2 SIAM Journal on Scientific Computing 2 Bulletin des Sciences Mathématiques 2 Discrete Dynamics in Nature and Society 2 Journal of Hyperbolic Differential Equations 2 Advances in Difference Equations 2 Mathematical Biosciences and Engineering 2 Acta Mechanica Sinica 2 Mathematical Modelling of Natural Phenomena 2 SIAM Journal on Imaging Sciences 2 Journal of Computational Dynamics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 General Relativity and Gravitation 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute ...and 86 more Serials all top 5 Cited in 41 Fields 411 Ordinary differential equations (34-XX) 196 Dynamical systems and ergodic theory (37-XX) 178 Biology and other natural sciences (92-XX) 138 Partial differential equations (35-XX) 73 Numerical analysis (65-XX) 56 Operator theory (47-XX) 50 Systems theory; control (93-XX) 32 Probability theory and stochastic processes (60-XX) 29 Difference and functional equations (39-XX) 28 Integral equations (45-XX) 18 Mechanics of particles and systems (70-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Fluid mechanics (76-XX) 13 Quantum theory (81-XX) 11 Functional analysis (46-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Differential geometry (53-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year