Edit Profile (opens in new tab) Wechselberger, Martin Co-Author Distance Author ID: wechselberger.martin Published as: Wechselberger, Martin; Wechselberger, M. Homepage: https://www.maths.usyd.edu.au/u/wm/wm-web/info.html External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND Awards: J.D. Crawford Prize (2017) Documents Indexed: 58 Publications since 2001, including 2 Books and 4 Additional arXiv Preprints Co-Authors: 58 Co-Authors with 53 Joint Publications 1,598 Co-Co-Authors all top 5 Co-Authors 5 single-authored 8 Marangell, Robert 7 Vo, Theodore 6 Bertram, Richard 6 Kirk, Vivien 6 Sneyd, James 5 Jelbart, Samuel 5 Lizarraga, Ian 5 Pettet, Graeme John 5 van Heijster, Peter 4 Harley, Kristen E. 4 Rubin, Jonathan E. 4 Szmolyan, Peter 4 Tabak, Joël 3 Mitry, John 3 Uldall Kristiansen, K. 2 Bradshaw-Hajek, Bronwyn H. 2 Desroches, Mathieu 2 Guckenheimer, John M. 2 Harvey, Emily 2 Jones, Christopher K. R. T. 2 Kopell, Nancy J. 2 Krupa, Martin 2 Osinga, Hinke Maria 2 Teka, Wondimu 2 Weckesser, Warren 1 Avitabile, Daniele 1 Beck, Margaret 1 Best, Janet A. 1 Boie, Sebastian D. 1 Borisyuk, Alla 1 Brøns, Morten 1 Carter, Paul M. 1 De Maesschalck, Peter 1 Ermentrout, Bard G. 1 Hayes, Michael G. 1 Hester, Eric W. 1 Kaper, Tasso J. 1 Knobloch, Edgar 1 Krauskopf, Bernd 1 Kühn, Christian 1 Li, Yifei 1 Lin, Xiaobiao 1 McCarthy, Michelle M. 1 Pages, Nathan 1 Rink, Bob W. 1 Rinzel, John 1 Roberts, Kerry-Lyn 1 Roberts, Timothy V. 1 Rotstein, Horacio G. 1 Schaeffer, David G. 1 Simpson, Matthew J. 1 Tam, Alexander K. Y. 1 Terman, David Hillel 1 Vasil, Geoffrey M. 1 Veltz, Romain 1 Widiasih, Esther R. 1 Young, Lai-Sang 1 Zhang, Wenjun all top 5 Serials 11 SIAM Journal on Applied Dynamical Systems 7 Nonlinearity 4 Journal of Differential Equations 4 The Journal of Mathematical Neuroscience 3 Physica D 3 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 Journal of Computational Neuroscience 2 Chaos 2 Frontiers in Applied Dynamical Systems: Reviews and Tutorials 1 Biological Cybernetics 1 Mathematical Biosciences 1 Transactions of the American Mathematical Society 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Discrete and Continuous Dynamical Systems 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Theoretical Biology all top 5 Fields 45 Ordinary differential equations (34-XX) 28 Biology and other natural sciences (92-XX) 21 Dynamical systems and ergodic theory (37-XX) 12 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Difference and functional equations (39-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 1,336 times in 508 Documents Cited by ▼ Year ▼ Mixed-mode oscillations with multiple time scales. Zbl 1250.34001 Desroches, Mathieu; Guckenheimer, John; Krauskopf, Bernd; Kuehn, Christian; Osinga, Hinke M.; Wechselberger, Martin 175 2012 Canards in \(\mathbb{R}^3\). Zbl 1007.34057 Szmolyan, Peter; Wechselberger, Martin 149 2001 Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047 Wechselberger, Martin 109 2005 Mixed mode oscillations due to the generalized canard. Zbl 1228.34063 Brøns, Morten; Krupa, Martin; Wechselberger, Martin 74 2006 Local analysis near a folded saddle-node singularity. Zbl 1198.34103 Krupa, Martin; Wechselberger, Martin 70 2010 Relaxation oscillations in \({\mathbb R}^3\). Zbl 1058.34055 Szmolyan, P.; Wechselberger, M. 62 2004 Apropos canards. (À propos de canards.) Zbl 1244.34080 Wechselberger, Martin 51 2012 Geometric singular perturbation theory beyond the standard form. Zbl 1484.34001 Wechselberger, Martin 50 2020 Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Zbl 1125.92015 Rubin, Jonathan; Wechselberger, Martin 49 2007 The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales. Zbl 1306.34060 Rubin, Jonathan; Wechselberger, Martin 33 2008 Chaotic attractors of relaxation oscillators. Zbl 1102.34028 Guckenheimer, John; Wechselberger, Martin; Young, Lai-Sang 32 2006 Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353 Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy 32 2008 Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics. Zbl 1231.34084 Harvey, Emily; Kirk, Vivien; Wechselberger, Martin; Sneyd, James 28 2011 Canards, clusters, and synchronization in a weakly coupled interneuron model. Zbl 1167.34352 Ermentrout, Bard; Wechselberger, Martin 26 2009 Multiple geometric viewpoints of mixed mode dynamics associated with pseudo-plateau bursting. Zbl 1295.37022 Vo, Theodore; Bertram, Richard; Wechselberger, Martin 24 2013 The dynamic range of bursting in a model respiratory pacemaker network. Zbl 1106.34023 Best, Janet; Borisyuk, Alla; Rubin, Jonathan; Terman, David; Wechselberger, Martin 22 2005 Neural excitability and singular bifurcations. Zbl 1357.92019 de Maesschalck, Peter; Wechselberger, Martin 22 2015 Existence of traveling wave solutions for a model of tumor invasion. Zbl 1301.34075 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 21 2014 Canard theory and excitability. Zbl 1319.34114 Wechselberger, Martin; Mitry, John; Rinzel, John 20 2013 Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046 Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin 19 2013 Canards of folded saddle-node type I. Zbl 1325.34071 Vo, Theodore; Wechselberger, Martin 19 2015 Folds, canards and shocks in advection-reaction-diffusion models. Zbl 1213.34073 Wechselberger, M.; Pettet, G. J. 19 2010 Mixed mode oscillations as a mechanism for pseudo-plateau bursting. Zbl 1246.34053 Vo, Theodore; Bertram, Richard; Tabak, Joel; Wechselberger, Martin 17 2010 Bifurcations of mixed-mode oscillations in a stellate cell model. Zbl 1177.37086 Wechselberger, Martin; Weckesser, Warren 16 2009 Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364 Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin 16 2008 Averaging, folded singularities, and torus canards: explaining transitions between bursting and spiking in a coupled neuron model. Zbl 1360.37183 Roberts, Kerry-Lyn; Rubin, Jonathan E.; Wechselberger, Martin 13 2015 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 Extending Melnikov theory to invariant manifolds on non-compact domains. Zbl 1032.34041 Wechselberger, Martin 13 2002 The dynamics underlying pseudo-plateau bursting in a pituitary cell model. Zbl 1259.37063 Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard 12 2011 Numerical computation of an Evans function for travelling waves. Zbl 1356.92013 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 11 2015 Two-stroke relaxation oscillators. Zbl 1486.34111 Jelbart, Samuel; Wechselberger, Martin 10 2020 Understanding anomalous delays in a model of intracellular calcium dynamics. Zbl 1311.92064 Harvey, Emily; Kirk, Vivien; Osinga, Hinke M.; Sneyd, James; Wechselberger, Martin 9 2010 Folded saddles and faux canards. Zbl 1418.34117 Mitry, John; Wechselberger, Martin 9 2017 A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells. Zbl 1382.92098 Vo, Theodore; Tabak, Joël; Bertram, Richard; Wechselberger, Martin 8 2014 Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model. Zbl 1246.34054 Vo, Theodore; Bertram, Richard; Wechselberger, Martin 8 2012 Transonic canards and stellar wind. Zbl 1377.34075 Carter, Paul; Knobloch, Edgar; Wechselberger, Martin 8 2017 Novel solutions for a model of wound healing angiogenesis. Zbl 1310.34079 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 7 2014 Singularly perturbed boundary-focus bifurcations. Zbl 1472.34109 Jelbart, Samuel; Kristiansen, Kristian Uldall; Wechselberger, Martin 7 2021 Singularly perturbed boundary-equilibrium bifurcations. Zbl 1480.34056 Jelbart, S.; Kristiansen, K. U.; Wechselberger, M. 7 2021 Effects of quasi-steady-state reduction on biophysical models with oscillations. Zbl 1343.92036 Boie, Sebastian; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 6 2016 Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102 Lizarraga, Ian; Wechselberger, Martin 6 2020 Transonic evaporation waves in a spherically symmetric nozzle. Zbl 1307.35231 Lin, Xiaobiao; Wechselberger, Martin 5 2014 Mixed mode oscillations in a conceptual climate model. Zbl 1364.86018 Roberts, Andrew; Widiasih, Esther; Wechselberger, Martin; Jones, Christopher K. R. T. 4 2015 Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales. Zbl 1259.92003 Zhang, Wenjun; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 4 2011 (In)stability of travelling waves in a model of haptotaxis. Zbl 1443.35013 Harley, Kristen E.; van Heijster, Peter; Marangell, Robert; Pettet, Graeme J.; Roberts, Timothy V.; Wechselberger, Martin 3 2020 Slow unfoldings of contact singularities in singularly perturbed systems beyond the standard form. Zbl 1470.34151 Lizarraga, Ian; Marangell, Robert; Wechselberger, Martin 3 2020 Singularly perturbed oscillators with exponential nonlinearities. Zbl 1505.34087 Jelbart, S.; Kristiansen, K. U.; Szmolyan, P.; Wechselberger, M. 3 2022 Multiple timescales and the parametrisation method in geometric singular perturbation theory. Zbl 1471.34112 Lizarraga, Ian; Rink, Bob; Wechselberger, Martin 3 2021 Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion. Zbl 1484.35286 Li, Yifei; van Heijster, Peter; Simpson, Matthew J.; Wechselberger, Martin 3 2021 Homoclinic clusters and chaos associated with a folded node in a stellate cell model. Zbl 1362.34081 Wechselberger, Martin; Weckesser, Warren 2 2009 Poincaré maps for relaxation oscillations in \(\mathbb R^3\)-invariant manifolds, canards and turning points. Zbl 1107.34038 Wechselberger, Martin 1 2005 Mathematical analysis of complex cellular activity. Zbl 1325.92005 Bertram, Richard; Tabak, Joël; Teka, Wondimu; Vo, Theodore; Wechselberger, Martin; Kirk, Vivien; Sneyd, James 1 2015 Local theory for spatio-temporal canards and delayed bifurcations. Zbl 1453.35020 Avitabile, Daniele; Desroches, Mathieu; Veltz, Romain; Wechselberger, Martin 1 2020 Process-oriented geometric singular perturbation theory and calcium dynamics. Zbl 1497.34060 Jelbart, Samuel; Pages, Nathan; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 1 2022 Singularly perturbed oscillators with exponential nonlinearities. Zbl 1505.34087 Jelbart, S.; Kristiansen, K. U.; Szmolyan, P.; Wechselberger, M. 3 2022 Process-oriented geometric singular perturbation theory and calcium dynamics. Zbl 1497.34060 Jelbart, Samuel; Pages, Nathan; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 1 2022 Singularly perturbed boundary-focus bifurcations. Zbl 1472.34109 Jelbart, Samuel; Kristiansen, Kristian Uldall; Wechselberger, Martin 7 2021 Singularly perturbed boundary-equilibrium bifurcations. Zbl 1480.34056 Jelbart, S.; Kristiansen, K. U.; Wechselberger, M. 7 2021 Multiple timescales and the parametrisation method in geometric singular perturbation theory. Zbl 1471.34112 Lizarraga, Ian; Rink, Bob; Wechselberger, Martin 3 2021 Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion. Zbl 1484.35286 Li, Yifei; van Heijster, Peter; Simpson, Matthew J.; Wechselberger, Martin 3 2021 Geometric singular perturbation theory beyond the standard form. Zbl 1484.34001 Wechselberger, Martin 50 2020 Two-stroke relaxation oscillators. Zbl 1486.34111 Jelbart, Samuel; Wechselberger, Martin 10 2020 Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102 Lizarraga, Ian; Wechselberger, Martin 6 2020 (In)stability of travelling waves in a model of haptotaxis. Zbl 1443.35013 Harley, Kristen E.; van Heijster, Peter; Marangell, Robert; Pettet, Graeme J.; Roberts, Timothy V.; Wechselberger, Martin 3 2020 Slow unfoldings of contact singularities in singularly perturbed systems beyond the standard form. Zbl 1470.34151 Lizarraga, Ian; Marangell, Robert; Wechselberger, Martin 3 2020 Local theory for spatio-temporal canards and delayed bifurcations. Zbl 1453.35020 Avitabile, Daniele; Desroches, Mathieu; Veltz, Romain; Wechselberger, Martin 1 2020 Folded saddles and faux canards. Zbl 1418.34117 Mitry, John; Wechselberger, Martin 9 2017 Transonic canards and stellar wind. Zbl 1377.34075 Carter, Paul; Knobloch, Edgar; Wechselberger, Martin 8 2017 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 Effects of quasi-steady-state reduction on biophysical models with oscillations. Zbl 1343.92036 Boie, Sebastian; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 6 2016 Neural excitability and singular bifurcations. Zbl 1357.92019 de Maesschalck, Peter; Wechselberger, Martin 22 2015 Canards of folded saddle-node type I. Zbl 1325.34071 Vo, Theodore; Wechselberger, Martin 19 2015 Averaging, folded singularities, and torus canards: explaining transitions between bursting and spiking in a coupled neuron model. Zbl 1360.37183 Roberts, Kerry-Lyn; Rubin, Jonathan E.; Wechselberger, Martin 13 2015 Numerical computation of an Evans function for travelling waves. Zbl 1356.92013 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 11 2015 Mixed mode oscillations in a conceptual climate model. Zbl 1364.86018 Roberts, Andrew; Widiasih, Esther; Wechselberger, Martin; Jones, Christopher K. R. T. 4 2015 Mathematical analysis of complex cellular activity. Zbl 1325.92005 Bertram, Richard; Tabak, Joël; Teka, Wondimu; Vo, Theodore; Wechselberger, Martin; Kirk, Vivien; Sneyd, James 1 2015 Existence of traveling wave solutions for a model of tumor invasion. Zbl 1301.34075 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 21 2014 A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells. Zbl 1382.92098 Vo, Theodore; Tabak, Joël; Bertram, Richard; Wechselberger, Martin 8 2014 Novel solutions for a model of wound healing angiogenesis. Zbl 1310.34079 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 7 2014 Transonic evaporation waves in a spherically symmetric nozzle. Zbl 1307.35231 Lin, Xiaobiao; Wechselberger, Martin 5 2014 Multiple geometric viewpoints of mixed mode dynamics associated with pseudo-plateau bursting. Zbl 1295.37022 Vo, Theodore; Bertram, Richard; Wechselberger, Martin 24 2013 Canard theory and excitability. Zbl 1319.34114 Wechselberger, Martin; Mitry, John; Rinzel, John 20 2013 Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046 Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin 19 2013 Mixed-mode oscillations with multiple time scales. Zbl 1250.34001 Desroches, Mathieu; Guckenheimer, John; Krauskopf, Bernd; Kuehn, Christian; Osinga, Hinke M.; Wechselberger, Martin 175 2012 Apropos canards. (À propos de canards.) Zbl 1244.34080 Wechselberger, Martin 51 2012 Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model. Zbl 1246.34054 Vo, Theodore; Bertram, Richard; Wechselberger, Martin 8 2012 Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics. Zbl 1231.34084 Harvey, Emily; Kirk, Vivien; Wechselberger, Martin; Sneyd, James 28 2011 The dynamics underlying pseudo-plateau bursting in a pituitary cell model. Zbl 1259.37063 Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard 12 2011 Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales. Zbl 1259.92003 Zhang, Wenjun; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 4 2011 Local analysis near a folded saddle-node singularity. Zbl 1198.34103 Krupa, Martin; Wechselberger, Martin 70 2010 Folds, canards and shocks in advection-reaction-diffusion models. Zbl 1213.34073 Wechselberger, M.; Pettet, G. J. 19 2010 Mixed mode oscillations as a mechanism for pseudo-plateau bursting. Zbl 1246.34053 Vo, Theodore; Bertram, Richard; Tabak, Joel; Wechselberger, Martin 17 2010 Understanding anomalous delays in a model of intracellular calcium dynamics. Zbl 1311.92064 Harvey, Emily; Kirk, Vivien; Osinga, Hinke M.; Sneyd, James; Wechselberger, Martin 9 2010 Canards, clusters, and synchronization in a weakly coupled interneuron model. Zbl 1167.34352 Ermentrout, Bard; Wechselberger, Martin 26 2009 Bifurcations of mixed-mode oscillations in a stellate cell model. Zbl 1177.37086 Wechselberger, Martin; Weckesser, Warren 16 2009 Homoclinic clusters and chaos associated with a folded node in a stellate cell model. Zbl 1362.34081 Wechselberger, Martin; Weckesser, Warren 2 2009 The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales. Zbl 1306.34060 Rubin, Jonathan; Wechselberger, Martin 33 2008 Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353 Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy 32 2008 Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364 Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin 16 2008 Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Zbl 1125.92015 Rubin, Jonathan; Wechselberger, Martin 49 2007 Mixed mode oscillations due to the generalized canard. Zbl 1228.34063 Brøns, Morten; Krupa, Martin; Wechselberger, Martin 74 2006 Chaotic attractors of relaxation oscillators. Zbl 1102.34028 Guckenheimer, John; Wechselberger, Martin; Young, Lai-Sang 32 2006 Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047 Wechselberger, Martin 109 2005 The dynamic range of bursting in a model respiratory pacemaker network. Zbl 1106.34023 Best, Janet; Borisyuk, Alla; Rubin, Jonathan; Terman, David; Wechselberger, Martin 22 2005 Poincaré maps for relaxation oscillations in \(\mathbb R^3\)-invariant manifolds, canards and turning points. Zbl 1107.34038 Wechselberger, Martin 1 2005 Relaxation oscillations in \({\mathbb R}^3\). Zbl 1058.34055 Szmolyan, P.; Wechselberger, M. 62 2004 Extending Melnikov theory to invariant manifolds on non-compact domains. Zbl 1032.34041 Wechselberger, Martin 13 2002 Canards in \(\mathbb{R}^3\). Zbl 1007.34057 Szmolyan, Peter; Wechselberger, Martin 149 2001 all cited Publications top 5 cited Publications all top 5 Cited by 761 Authors 34 Wechselberger, Martin 26 Kühn, Christian 22 Desroches, Mathieu 20 Uldall Kristiansen, K. 18 Rubin, Jonathan E. 14 Osinga, Hinke Maria 13 Krupa, Martin 13 Vo, Theodore 11 Bi, Qinsheng 10 De Maesschalck, Peter 10 Jardón-Kojakhmetov, Hildeberto 10 Krauskopf, Bernd 10 van Heijster, Peter 9 Inaba, Naohiko 9 Kaper, Tasso J. 9 Llibre, Jaume 9 Szmolyan, Peter 8 Kirk, Vivien 8 Marangell, Robert 8 Rotstein, Horacio G. 7 Bertram, Richard 7 Jelbart, Samuel 7 Popović, Nikola 7 Rodrigues, Serafim 7 Schnell, Santiago 7 Sun, Xiaobin 7 Xie, Yingchao 6 Carter, Paul M. 6 Eilertsen, Justin S. 6 Jeffrey, Mike R. 6 Li, Ji 6 Touboul, Jonathan David 6 Young, Lai-Sang 5 Duan, Lixia 5 Engel, Maximilian 5 Ersöz, Elif Köksal 5 Fernández-García, Soledad 5 Ginoux, Jean-Marc 5 Hogan, S. John 5 Lizarraga, Ian 5 Okazaki, Hideaki 5 Sadhu, Susmita 5 Sneyd, James 5 Tsubone, Tadashi 5 Vidal, Alexandre 5 Wang, Yangyang 4 Ashwin, Peter 4 Avitabile, Daniele 4 Balasuriya, Sanjeeva 4 Bashkirtseva, Irina Adol’fovna 4 Brøns, Morten 4 Gu, Huaguang 4 Guckenheimer, John M. 4 Han, Xiujing 4 Huzak, Renato 4 Kousaka, Takuji 4 Krupa, Maciej 4 Liu, Wei 4 Ma, Xindong 4 Pettet, Graeme John 4 Shen, Jianhe 4 Shilnikov, Andrey L. 4 Simpson, Matthew J. 4 Tabak, Joël 4 Thieullen, Michèle 4 Tsaneva-Atanasova, Krasimira T. 4 Wieczorek, Sebastian M. 4 Yanchuk, Sergiĭ Volodymyrovych 4 Yu, Yue 3 Algaba, Antonio 3 Berglund, Nils 3 Broer, Henk W. 3 Chen, Shuang 3 Chung, Kwok-Wai 3 Clément, Frédérique 3 Davis, Paige N. 3 de Rijk, Björn 3 Doelman, Arjen 3 Erhardt, André 3 Gentz, Barbara 3 Harley, Kristen E. 3 Holzer, Matt 3 Hsu, Cheng-Hsiung 3 Iuorio, Annalisa 3 Kaklamanos, Panagiotis 3 Kopell, Nancy J. 3 Kumar Upadhyay, Ranjit 3 Kurths, Jürgen 3 Kutafina, Ekaterina V. 3 Lee, Euiwoo 3 Letson, Benjamin 3 Li, Shihu 3 Liu, Shenquan 3 Lu, Bo 3 Marszałek, Wiesław 3 Mondal, Argha 3 Qin, Bo-Wei 3 Röckner, Michael 3 Rodríguez-Luis, Alejandro J. 3 Ryashko, Lev Borisovich ...and 661 more Authors all top 5 Cited in 100 Serials 47 SIAM Journal on Applied Dynamical Systems 41 Physica D 34 Chaos 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Journal of Differential Equations 21 Communications in Nonlinear Science and Numerical Simulation 19 Journal of Nonlinear Science 17 Journal of Mathematical Biology 17 Journal of Computational Neuroscience 16 Nonlinearity 16 Discrete and Continuous Dynamical Systems. Series B 15 The Journal of Mathematical Neuroscience 11 Journal of Dynamics and Differential Equations 10 Chaos, Solitons and Fractals 10 Nonlinear Dynamics 8 Journal of Mathematical Analysis and Applications 7 Biological Cybernetics 7 Mathematical Biosciences 7 Journal of Theoretical Biology 6 SIAM Journal on Mathematical Analysis 5 Applied Mathematical Modelling 5 SIAM Journal on Applied Mathematics 5 SIAM Review 4 Applied Mathematics and Computation 4 Neural Computation 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Qualitative Theory of Dynamical Systems 4 Mathematical Modelling of Natural Phenomena 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Bulletin of Mathematical Biology 3 Discrete and Continuous Dynamical Systems 3 Mathematical Biosciences and Engineering 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Physics Reports 2 Applied Mathematics and Optimization 2 Automatica 2 Theoretical Population Biology 2 Circuits, Systems, and Signal Processing 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Indagationes Mathematicae. New Series 2 Computational and Applied Mathematics 2 Complexity 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series S 2 Electronic Research Archive 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Commentarii Mathematici Helvetici 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Bernoulli 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Mathematical Population Studies 1 Journal of Vibration and Control 1 Mathematical Physics, Analysis and Geometry 1 Mathematical and Computer Modelling of Dynamical Systems 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Journal of Fixed Point Theory and Applications 1 Chinese Journal of Physics (Taipei) 1 Journal of Computational Dynamics 1 Discontinuity, Nonlinearity, and Complexity 1 Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 AIMS Mathematics 1 Frontiers of Mathematics all top 5 Cited in 31 Fields 325 Ordinary differential equations (34-XX) 241 Biology and other natural sciences (92-XX) 154 Dynamical systems and ergodic theory (37-XX) 79 Partial differential equations (35-XX) 41 Mechanics of particles and systems (70-XX) 26 Probability theory and stochastic processes (60-XX) 18 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 11 Information and communication theory, circuits (94-XX) 10 Systems theory; control (93-XX) 9 Geophysics (86-XX) 8 Mechanics of deformable solids (74-XX) 7 Difference and functional equations (39-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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