Edit Profile (opens in new tab) Szmolyan, Peter Co-Author Distance Author ID: szmolyan.peter Published as: Szmolyan, Peter; Szmolyan, P. External Links: MGP Documents Indexed: 56 Publications since 1988, including 4 Additional arXiv Preprints Co-Authors: 46 Co-Authors with 49 Joint Publications 1,181 Co-Co-Authors all top 5 Co-Authors 7 single-authored 8 Krupa, Martin 5 Freistühler, Heinrich 4 Gasser, Ingenuin 4 Iuorio, Annalisa 4 Popović, Nikola 4 Uldall Kristiansen, K. 4 Wechselberger, Martin 2 Jankowiak, Gaspard 2 Kosiuk, Ilona 2 Kühn, Christian 2 Milik, Alexandra 2 Radulescu, Ovidiu 2 Schecter, Stephen 2 Wächtler, Johannes 2 Wolfram, Marie-Therese 1 Achleitner, Franz 1 Cao, Ming 1 Delacour, Julia 1 Desoeuvres, Aurélien 1 Fages, François 1 Greugny, Eléa Thibault 1 Gröller, Eduard 1 Gucwa, Ilona 1 Hayes, Michael G. 1 Huber, Astrid 1 Jardón-Kojakhmetov, Hildeberto 1 Jelbart, Samuel 1 Kaper, Tasso J. 1 Katzengruber, B. 1 Linzer, W. 1 Löffelmann, Helwig 1 Markowich, Peter Alexander 1 Miao, Zhouqian 1 Nipp, Kaspar 1 Ponweiser, K. 1 Sandstede, Björn 1 Schagerl, Martin 1 Schmeiser, Christian 1 Stamatas, Georgios N. 1 Steindl, Alois 1 Steinrück, Herbert 1 Stoffer, Daniel 1 Taghvafard, Hadi 1 Troger, Hans 1 van Gils, Stephan A. 1 Weinmüller, Ewa B. all top 5 Serials 8 Journal of Differential Equations 4 Physica D 4 SIAM Journal on Mathematical Analysis 4 SIAM Journal on Applied Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Journal of Dynamics and Differential Equations 2 Discrete and Continuous Dynamical Systems. Series S 1 Computers & Mathematics with Applications 1 Journal of Mathematical Biology 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 COMPEL 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Indagationes Mathematicae. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Annals of Numerical Mathematics 1 Dynamical Systems all top 5 Fields 37 Ordinary differential equations (34-XX) 20 Partial differential equations (35-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 8 Fluid mechanics (76-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 1,318 times in 672 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. 245 2001 Relaxation oscillation and canard explosion. Zbl 0994.34032 Krupa, M.; Szmolyan, P. 210 2001 Canards in \(\mathbb{R}^3\). Zbl 1007.34057 Szmolyan, Peter; Wechselberger, Martin 149 2001 Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039 Krupa, M.; Szmolyan, P. 71 2001 Transversal heteroclinic and homoclinic orbits in singular perturbation problems. Zbl 0734.34038 Szmolyan, P. 66 1991 Relaxation oscillations in \({\mathbb R}^3\). Zbl 1058.34055 Szmolyan, P.; Wechselberger, M. 62 2004 Fast and slow waves in the FitzHugh-Nagumo equation. Zbl 0898.34050 Krupa, Martin; Sandstede, Björn; Szmolyan, Peter 62 1997 Existence and bifurcation of viscous profiles for all intermediate magnetohydrodynamic shock waves. Zbl 0817.34028 Freistühler, H.; Szmolyan, P. 36 1995 Geometry of mixed-mode oscillations in the 3-D autocatalator. Zbl 0933.92036 Milik, Alexandra; Szmolyan, Peter; Löffelmann, Helwig; Gröller, Eduard 34 1998 Geometric singular perturbation analysis of an autocatalator model. Zbl 1362.34076 Gucwa, Ilona; Szmolyan, Peter 33 2009 Scaling in singular perturbation problems: blowing up a relaxation oscillator. Zbl 1243.34066 Kosiuk, Ilona; Szmolyan, Peter 30 2011 Spectral stability of small shock waves. Zbl 1018.35010 Freistühler, H.; Szmolyan, P. 30 2002 A geometric singular perturbation analysis of detonation and deflagration waves. Zbl 0783.76099 Gasser, I.; Szmolyan, P. 24 1993 Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle. Zbl 1344.34068 Kosiuk, Ilona; Szmolyan, Peter 24 2016 Asymptotic expansions using blow-up. Zbl 1081.34052 van Gils, S.; Krupa, M.; Szmolyan, P. 21 2005 Multiscale geometry of the Olsen model and non-classical relaxation oscillations. Zbl 1321.34065 Kuehn, Christian; Szmolyan, Peter 21 2015 Geometric analysis of the singularly perturbed planar fold. Zbl 1013.34057 Krupa, M.; Szmolyan, P. 19 2001 A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. Zbl 0709.35058 Markowich, Peter A.; Szmolyan, Peter 17 1989 Multiple time scales and canards in a chemical oscillator. Zbl 1013.34044 Milik, Alexandra; Szmolyan, Peter 17 2001 Spectral stability of small-amplitude viscous shock waves in several space dimensions. Zbl 1188.35117 Freistühler, Heinrich; Szmolyan, Peter 14 2010 Composite waves in the Dafermos regularization. Zbl 1076.35074 Schecter, Stephen; Szmolyan, Peter 14 2004 Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations. Zbl 1380.37105 Hayes, Michael G.; Kaper, Tasso J.; Szmolyan, Peter; Wechselberger, Martin 13 2016 Bifurcation of traveling waves in extrinsic semiconductors. Zbl 0960.34031 Katzengruber, B.; Krupa, M.; Szmolyan, P. 11 2000 A geometric analysis of the Lagerstrom model problem. Zbl 1059.34033 Popović, Nikola; Szmolyan, Peter 10 2004 Geometric singular perturbation analysis of the Yamada model. Zbl 1106.34027 Huber, A.; Szmolyan, P. 9 2005 Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit. Zbl 1477.34074 Uldall Kristiansen, K.; Szmolyan, P. 9 2021 Rigorous asymptotic expansions for Lagerstrom’s model equation – a geometric approach. Zbl 1082.34045 Popović, Nikola; Szmolyan, Peter 8 2004 Singular perturbation analysis of a regularized MEMS model. Zbl 1458.34103 Iuorio, Annalisa; Popović, Nikola; Szmolyan, Peter 8 2019 Detonation and deflagration waves with multistep reaction schemes. Zbl 0814.34028 Gasser, I.; Szmolyan, P. 7 1995 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 Analysis of a singularly perturbed traveling wave problem. Zbl 0749.34026 Szmolyan, P. 5 1992 A singular perturbation analysis of the transient semiconductor device equations. Zbl 0699.35014 Szmolyan, Peter 4 1989 Persistence of rarefactions under Dafermos regularization: blow-up and an exchange lemma for gain-of-stability turning points. Zbl 1178.35252 Schecter, Stephen; Szmolyan, Peter 4 2009 Graph transform and blow-up in singular perturbations. Zbl 1182.65109 Nipp, Kaspar; Stoffer, Daniel; Szmolyan, Peter 3 2009 Qualitative dynamics of chemical reaction networks: an investigation using partial tropical equilibrations. Zbl 1505.92073 Desoeuvres, Aurélien; Szmolyan, Peter; Radulescu, Ovidiu 3 2022 Singularly perturbed oscillators with exponential nonlinearities. Zbl 1505.34087 Jelbart, S.; Kristiansen, K. U.; Szmolyan, P.; Wechselberger, M. 3 2022 Asymptotic methods for transient semiconductor device equations. Zbl 0704.35006 Szmolyan, Peter 2 1989 Analysis of the Gunn effect. Zbl 0946.35504 Steinrück, H.; Szmolyan, P. 2 1994 Existence of Chapman-Jouguet detonation and deflagration waves. Zbl 1343.35186 Gasser, Ingenuin; Szmolyan, Peter; Wächtler, Johannes 2 2016 Oscillations in a cAMP signalling model for cell aggregation – a geometric analysis. Zbl 1431.34067 Miao, Zhouqian; Popović, Nikola; Szmolyan, Peter 2 2020 Saddle-node bifurcation of viscous profiles. Zbl 1257.35033 Achleitner, Franz; Szmolyan, Peter 2 2012 Geometric analysis of oscillations in the Frzilator model. Zbl 1483.34067 Taghvafard, Hadi; Jardón-Kojakhmetov, Hildeberto; Szmolyan, Peter; Cao, Ming 2 2021 Traveling waves in GaAs semiconductors. Zbl 0850.76017 Szmolyan, Peter 1 1989 Initial transients of solutions of the semiconductor device equations. Zbl 0788.65120 Szmolyan, P. 1 1990 Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem. Zbl 1434.70055 Iuorio, Annalisa; Kuehn, Christian; Szmolyan, Peter 1 2020 A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour. Zbl 1497.34086 Iuorio, Annalisa; Jankowiak, Gaspard; Szmolyan, Peter; Wolfram, Marie-Therese 1 2022 Qualitative dynamics of chemical reaction networks: an investigation using partial tropical equilibrations. Zbl 1505.92073 Desoeuvres, Aurélien; Szmolyan, Peter; Radulescu, Ovidiu 3 2022 Singularly perturbed oscillators with exponential nonlinearities. Zbl 1505.34087 Jelbart, S.; Kristiansen, K. U.; Szmolyan, P.; Wechselberger, M. 3 2022 A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour. Zbl 1497.34086 Iuorio, Annalisa; Jankowiak, Gaspard; Szmolyan, Peter; Wolfram, Marie-Therese 1 2022 Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit. Zbl 1477.34074 Uldall Kristiansen, K.; Szmolyan, P. 9 2021 Geometric analysis of oscillations in the Frzilator model. Zbl 1483.34067 Taghvafard, Hadi; Jardón-Kojakhmetov, Hildeberto; Szmolyan, Peter; Cao, Ming 2 2021 Oscillations in a cAMP signalling model for cell aggregation – a geometric analysis. Zbl 1431.34067 Miao, Zhouqian; Popović, Nikola; Szmolyan, Peter 2 2020 Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem. Zbl 1434.70055 Iuorio, Annalisa; Kuehn, Christian; Szmolyan, Peter 1 2020 Singular perturbation analysis of a regularized MEMS model. Zbl 1458.34103 Iuorio, Annalisa; Popović, Nikola; Szmolyan, Peter 8 2019 Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle. Zbl 1344.34068 Kosiuk, Ilona; Szmolyan, Peter 24 2016 Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations. Zbl 1380.37105 Hayes, Michael G.; Kaper, Tasso J.; Szmolyan, Peter; Wechselberger, Martin 13 2016 Existence of Chapman-Jouguet detonation and deflagration waves. Zbl 1343.35186 Gasser, Ingenuin; Szmolyan, Peter; Wächtler, Johannes 2 2016 Multiscale geometry of the Olsen model and non-classical relaxation oscillations. Zbl 1321.34065 Kuehn, Christian; Szmolyan, Peter 21 2015 Saddle-node bifurcation of viscous profiles. Zbl 1257.35033 Achleitner, Franz; Szmolyan, Peter 2 2012 Scaling in singular perturbation problems: blowing up a relaxation oscillator. Zbl 1243.34066 Kosiuk, Ilona; Szmolyan, Peter 30 2011 Spectral stability of small-amplitude viscous shock waves in several space dimensions. Zbl 1188.35117 Freistühler, Heinrich; Szmolyan, Peter 14 2010 Geometric singular perturbation analysis of an autocatalator model. Zbl 1362.34076 Gucwa, Ilona; Szmolyan, Peter 33 2009 Persistence of rarefactions under Dafermos regularization: blow-up and an exchange lemma for gain-of-stability turning points. Zbl 1178.35252 Schecter, Stephen; Szmolyan, Peter 4 2009 Graph transform and blow-up in singular perturbations. Zbl 1182.65109 Nipp, Kaspar; Stoffer, Daniel; Szmolyan, Peter 3 2009 Asymptotic expansions using blow-up. Zbl 1081.34052 van Gils, S.; Krupa, M.; Szmolyan, P. 21 2005 Geometric singular perturbation analysis of the Yamada model. Zbl 1106.34027 Huber, A.; Szmolyan, P. 9 2005 Relaxation oscillations in \({\mathbb R}^3\). Zbl 1058.34055 Szmolyan, P.; Wechselberger, M. 62 2004 Composite waves in the Dafermos regularization. Zbl 1076.35074 Schecter, Stephen; Szmolyan, Peter 14 2004 A geometric analysis of the Lagerstrom model problem. Zbl 1059.34033 Popović, Nikola; Szmolyan, Peter 10 2004 Rigorous asymptotic expansions for Lagerstrom’s model equation – a geometric approach. Zbl 1082.34045 Popović, Nikola; Szmolyan, Peter 8 2004 Spectral stability of small shock waves. Zbl 1018.35010 Freistühler, H.; Szmolyan, P. 30 2002 Extending geometric singular perturbation theory to nonhyperbolic points – fold and canard points in two dimensions. Zbl 1002.34046 Krupa, M.; Szmolyan, P. 245 2001 Relaxation oscillation and canard explosion. Zbl 0994.34032 Krupa, M.; Szmolyan, P. 210 2001 Canards in \(\mathbb{R}^3\). Zbl 1007.34057 Szmolyan, Peter; Wechselberger, Martin 149 2001 Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039 Krupa, M.; Szmolyan, P. 71 2001 Geometric analysis of the singularly perturbed planar fold. Zbl 1013.34057 Krupa, M.; Szmolyan, P. 19 2001 Multiple time scales and canards in a chemical oscillator. Zbl 1013.34044 Milik, Alexandra; Szmolyan, Peter 17 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. 11 2000 Geometry of mixed-mode oscillations in the 3-D autocatalator. Zbl 0933.92036 Milik, Alexandra; Szmolyan, Peter; Löffelmann, Helwig; Gröller, Eduard 34 1998 Fast and slow waves in the FitzHugh-Nagumo equation. Zbl 0898.34050 Krupa, Martin; Sandstede, Björn; Szmolyan, Peter 62 1997 Existence and bifurcation of viscous profiles for all intermediate magnetohydrodynamic shock waves. Zbl 0817.34028 Freistühler, H.; Szmolyan, P. 36 1995 Detonation and deflagration waves with multistep reaction schemes. Zbl 0814.34028 Gasser, I.; Szmolyan, P. 7 1995 Analysis of the Gunn effect. Zbl 0946.35504 Steinrück, H.; Szmolyan, P. 2 1994 A geometric singular perturbation analysis of detonation and deflagration waves. Zbl 0783.76099 Gasser, I.; Szmolyan, P. 24 1993 Analysis of a singularly perturbed traveling wave problem. Zbl 0749.34026 Szmolyan, P. 5 1992 Transversal heteroclinic and homoclinic orbits in singular perturbation problems. Zbl 0734.34038 Szmolyan, P. 66 1991 Initial transients of solutions of the semiconductor device equations. Zbl 0788.65120 Szmolyan, P. 1 1990 A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. Zbl 0709.35058 Markowich, Peter A.; Szmolyan, Peter 17 1989 A singular perturbation analysis of the transient semiconductor device equations. Zbl 0699.35014 Szmolyan, Peter 4 1989 Asymptotic methods for transient semiconductor device equations. Zbl 0704.35006 Szmolyan, Peter 2 1989 Traveling waves in GaAs semiconductors. Zbl 0850.76017 Szmolyan, Peter 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 819 Authors 32 Wechselberger, Martin 31 Kühn, Christian 28 Uldall Kristiansen, K. 28 Zumbrun, Kevin R. 26 Szmolyan, Peter 23 Desroches, Mathieu 21 De Maesschalck, Peter 16 Huzak, Renato 16 Krupa, Martin 15 Popović, Nikola 13 Kaper, Tasso J. 13 Vo, Theodore 12 Jardón-Kojakhmetov, Hildeberto 11 Carter, Paul M. 10 Dumortier, Freddy 10 Freistühler, Heinrich 9 Da Silva, Paulo Ricardo 9 Li, Ji 9 Shen, Jianhe 8 Humpherys, Jeffrey 8 Krauskopf, Bernd 8 Liu, Qian 8 Llibre, Jaume 8 Lyng, Gregory Daniel 8 Osinga, Hinke Maria 8 Rubin, Jonathan E. 8 Scheel, Arnd 8 Zhou, Yuqian 7 Brøns, Morten 7 Hogan, S. John 7 Jelbart, Samuel 7 Rotstein, Horacio G. 7 Schecter, Stephen 6 Algaba, Antonio 6 Bertram, Richard 6 Chung, Kwok-Wai 6 Engel, Maximilian 6 Fernández-García, Soledad 6 Iuorio, Annalisa 6 Kirk, Vivien 6 Liu, Weishi 6 Métivier, Guy 6 Qin, Bo-Wei 6 Rodrigues, Serafim 6 Rodríguez-Luis, Alejandro J. 6 Sandstede, Björn 6 Steindl, Alois 6 Williams, Mark 6 Zhang, Xiang 5 Barker, Blake 5 Ersöz, Elif Köksal 5 Ginoux, Jean-Marc 5 Han, Maoan 5 Hupkes, Hermen Jan 5 Marangell, Robert 5 Teixeira, Marco Antonio 5 van Heijster, Peter 5 Wang, Dehua 4 Ashwin, Peter 4 Banasiak, Jacek 4 Banerjee, Malay 4 Bates, Peter W. 4 Cardin, Pedro Toniol 4 Doelman, Arjen 4 Guès, Olivier 4 Holzer, Matt 4 Hsu, Cheng-Hsiung 4 Jones, Christopher K. R. T. 4 Lu, Kening 4 Medvedev, Georgi S. 4 Rohde, Christian 4 Roussarie, Robert 4 Sadhu, Susmita 4 Schouten-Straatman, Willem M. 4 Sensi, Mattia 4 Sneyd, James 4 Sourdis, Christos 4 Tabak, Joël 4 Van Vleck, Erik S. 4 Wieczorek, Sebastian M. 4 Yanchuk, Sergiĭ Volodymyrovych 4 Yin, Haiyan 4 Zhang, Weinian 3 Abdelkawy, Mohamed A. 3 Avitabile, Daniele 3 Battelli, Flaviano 3 Berglund, Nils 3 Bi, Qinsheng 3 Bossolini, Elena 3 Broer, Henk W. 3 Chen, Shuang 3 Chowdhury, Pranali Roy 3 Du, Zengji 3 Duan, Jinqiao 3 Eilertsen, Justin S. 3 Gentz, Barbara 3 Hong, John Meng-Kai 3 Howard, Peter 3 Hu, Xianpeng 3 Jeffrey, Mike R. ...and 719 more Authors all top 5 Cited in 129 Serials 73 Journal of Differential Equations 52 Physica D 46 SIAM Journal on Applied Dynamical Systems 24 Journal of Dynamics and Differential Equations 24 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Journal of Mathematical Analysis and Applications 18 Journal of Nonlinear Science 18 Chaos 16 Archive for Rational Mechanics and Analysis 15 Nonlinearity 14 Journal of Mathematical Biology 13 Nonlinear Dynamics 13 Discrete and Continuous Dynamical Systems. Series B 10 Applied Mathematics and Computation 10 Nonlinear Analysis. Real World Applications 10 Dynamical Systems 10 The Journal of Mathematical Neuroscience 9 Chaos, Solitons and Fractals 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Communications in Nonlinear Science and Numerical Simulation 8 Mathematical Biosciences 8 SIAM Journal on Mathematical Analysis 8 Qualitative Theory of Dynamical Systems 7 Transactions of the American Mathematical Society 7 Discrete and Continuous Dynamical Systems 7 Journal of Dynamical and Control Systems 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Bulletin of Mathematical Biology 6 SIAM Journal on Applied Mathematics 6 Mathematical Modelling of Natural Phenomena 5 Biological Cybernetics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Quarterly of Applied Mathematics 5 Applied Mathematics Letters 5 Journal of Computational Neuroscience 5 Mathematical Biosciences and Engineering 4 Communications in Mathematical Physics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Theoretical Biology 3 Mathematical Methods in the Applied Sciences 3 Mathematical and Computer Modelling 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Applied Mathematical Modelling 3 Communications in Partial Differential Equations 3 SIAM Review 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications on Pure and Applied Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Transport Theory and Statistical Physics 2 Mathematics of Computation 2 Advances in Mathematics 2 BIT 2 Transactions of the Moscow Mathematical Society 2 Circuits, Systems, and Signal Processing 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 European Journal of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 Mathematical Population Studies 2 Discrete Dynamics in Nature and Society 2 New Journal of Physics 2 Combustion Theory and Modelling 2 Journal of Hyperbolic Differential Equations 2 Science China. Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Physics Reports 1 Prikladnaya Matematika i Mekhanika 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Theoretical Population Biology 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 Journal of Economic Dynamics & Control 1 Journal of the American Mathematical Society 1 The Annals of Applied Probability 1 International Journal of Computer Mathematics ...and 29 more Serials all top 5 Cited in 38 Fields 416 Ordinary differential equations (34-XX) 216 Partial differential equations (35-XX) 210 Biology and other natural sciences (92-XX) 177 Dynamical systems and ergodic theory (37-XX) 88 Fluid mechanics (76-XX) 41 Mechanics of particles and systems (70-XX) 37 Numerical analysis (65-XX) 15 Mechanics of deformable solids (74-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Optics, electromagnetic theory (78-XX) 9 Geophysics (86-XX) 9 Information and communication theory, circuits (94-XX) 8 Probability theory and stochastic processes (60-XX) 7 Systems theory; control (93-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 3 Measure and integration (28-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year