Edit Profile (opens in new tab) Glass, Leon Compute Distance To: Compute Author ID: glass.leon Published as: Glass, Leon; Glass, L. Documents Indexed: 60 Publications since 1973, including 3 Books 3 Contributions as Editor Co-Authors: 75 Co-Authors with 55 Joint Publications 1,480 Co-Co-Authors all top 5 Co-Authors 7 single-authored 7 Mackey, Michael Charles 5 Edwards, Roderick 5 Guevara, Michael R. 5 Shrier, Alvin 4 Oldeman, Bart E. 3 Bélair, Jacques 3 Beuter, Anne 3 Bub, Gil 3 Courtemanche, Marc 3 Perkins, Theodore J. 3 Shahrear, Pabel 2 Collins, James J. 2 Edwards, Rod 2 Façanha, Wilson L. C. 2 Kaplan, Daniel T. 2 Kapral, Raymond 2 Keener, James P. 2 Krogh-Madsen, Trine 2 Mason, Jonathan F. 2 Wilds, Roy 2 Zeng, Wanzhen 1 Abraham, Ralph Herman 1 Albert, Réka 1 an der Heiden, Uwe 1 Borek, Bartłomiej 1 Carroll, Thomas L. 1 Chávez, Francisco 1 Cytrynbaum, Eric N. 1 Dobbs, Matt 1 Doedel, Eusebius J. 1 Ermentrout, George Bard 1 Gedeon, Tomáš 1 Gilmore, Robert 1 Goldberger, Ary L. 1 Grebogi, Celso 1 Guerra, Peter G. 1 Hallett, Mike 1 Holmes, Philip J. 1 Hunter, Peter J. 1 Ito, Hiroyuki 1 Jørgensen, Peter Bjørn 1 Kappler, K. 1 Langfield, Peter 1 Larocque, David 1 Lemay, Chris 1 Lerma, Claudia 1 Letellier, Christophe 1 Lewis, John E. 1 Linsay, Paul S. 1 Lozi, René 1 Mackay, Vincent 1 Masé, Michela 1 Mestl, Thomas 1 Milton, John G. 1 Nahman-Lévesque, Olivier 1 Nattel, Stanley 1 Olsen, Lars Folke 1 Parlitz, Ulrich 1 Pasternack, Joel S. 1 Pecora, Louis M. 1 Pikovsky, Arkady S. 1 Ravelli, Flavia 1 Robust, Roy 1 Rohlf, Katrin 1 Rossler, Otto E. 1 Rousseau, Guillaume 1 Scagliotti, D. 1 Schäfer, Carsten 1 Shepelyansky, Dima L. 1 Siegelmann, Hava T. 1 Steinberg, Benjamin E. 1 Talajic, Mario 1 Titcombe, Michèle S. 1 Tsuda, Ichiro 1 Tyson, John J. all top 5 Serials 10 Chaos 7 Physica D 4 Journal of Mathematical Biology 4 Bulletin of Mathematical Biology 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Theoretical Biology 2 Journal of Statistical Physics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 SIAM Journal on Applied Dynamical Systems 1 American Mathematical Monthly 1 Mathematical Biosciences 1 Physics Letters. A 1 Journal of Combinatorial Theory. Series B 1 Mathematics and Computers in Simulation 1 Signal Processing 1 Neural Computation 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Interdisciplinary Applied Mathematics 1 Texts in Applied Mathematics 1 Science all top 5 Fields 52 Biology and other natural sciences (92-XX) 23 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 5 Combinatorics (05-XX) 5 Partial differential equations (35-XX) 5 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 1,568 times in 1,341 Documents Cited by ▼ Year ▼ Oscillation and chaos in physiological control systems. Zbl 1383.92036Mackey, M. C.; Glass, L. 758 1977 From clocks to chaos. The rhythms of life. Zbl 0705.92004Glass, Leon; Mackey, Michael C. 196 1988 Stable oscillations in mathematical models of biological control systems. Zbl 0391.92001Glass, Leon; Pasternack, Joel S. 62 1978 Pathological conditions resulting from instabilities in physiological control systems. Zbl 0427.92004Glass, Leon; Mackey, Michael C. 48 1979 Understanding nonlinear dynamics. Zbl 0823.34002Kaplan, Daniel; Glass, Leon 48 1995 Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Zbl 0489.92007Guevara, Michael R.; Glass, Leon 40 1982 Combinatorial explosion in model gene networks. Zbl 1033.92014Edwards, R.; Glass, L. 33 2000 A simple model for phase locking of biological oscillators. Zbl 0397.92006Glass, Leon; Mackey, Michael C. 29 1979 Chaos in high-dimensional neural and gene networks. Zbl 0890.58054Mestl, Thomas; Lemay, Chris; Glass, Leon 27 1996 Chaos in neurobiology. Zbl 0543.92006Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin 24 1983 Cardiac arrythmias and circle maps – a classical problem. Zbl 0900.92093Glass, Leon 21 1991 A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052Courtemanche, Marc; Keener, James P.; Glass, Leon 20 1996 Coarse-grained embeddings of time series: Random walks, Gaussian random processes, and deterministic chaos. Zbl 0773.58016Kaplan, Daniel T.; Glass, Leon 17 1993 Bifurcations in flat-topped maps and the control of cardiac chaos. Zbl 0877.92007Glass, Leon; Zeng, Wanzhen 17 1994 Time delays, oscillations, and chaos in physiological control systems. Zbl 0649.92008Glass, Leon; Beuter, Anne; Larocque, David 16 1988 Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005Keener, James P.; Glass, Leon 15 1984 There is a theory of heart. Zbl 0698.92005Glass, Leon; Hunter, P. 13 1990 Steady states, limit cycles, and chaos in models of complex biological networks. Zbl 0900.92006Lewis, John E.; Glass, Leon 12 1991 Nonlinear dynamics in physiology and medicine. Zbl 1050.92013 11 2003 Evolving complex dynamics in electronic models of genetic networks. Zbl 1080.92515Mason, Jonathan; Linsay, Paul S.; Collins, J. J.; Glass, Leon 11 2004 Introduction to focus issue: quantitative approaches to genetic networks. Zbl 1331.92049Albert, Réka; Collins, James J.; Glass, Leon 11 2013 Theory of reentrant excitation in a ring of cardiac tissue. Zbl 0780.92014Ito, Hiroyuki; Glass, Leon 10 1992 The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Zbl 1268.92016Ermentrout, G. Bard; Glass, Leon; Oldeman, Bart E. 9 2012 Nonlinear dynamics, chaos and complex cardiac arrhythmias. Zbl 0626.92001Glass, L.; Goldberger, A. L.; Courtemanche, M.; Shrier, A. 9 1987 Universality and self-similarity in the bifurcations of circle maps. Zbl 0593.58030Bélair, Jacques; Glass, Leon 8 1985 A circle map in a human heart. Zbl 0684.92003Courtemanche, M.; Glass, L.; Bélair, J.; Scagliotti, D.; Gordon, D. 8 1989 Bifurcations in a discontinuous circle map: A theory for a chaotic cardiac arrhythmia. Zbl 0885.92025Bub, Gil; Glass, Leon 8 1995 Dynamics in high-dimensional model gene networks. Zbl 1144.37467Kappler, K.; Edwards, R.; Glass, L. 7 2003 Chaotic dynamics in an electronic model of a genetic network. Zbl 1091.37026Glass, Leon; Perkins, Theodore J.; Mason, Jonathan; Siegelmann, Hava T.; Edwards, Roderick 6 2005 Robust dynamics in minimal hybrid models of genetic networks. Zbl 1211.37115Perkins, Theodore J.; Wilds, Roy; Glass, Leon 6 2010 A combinatorial analogue of the Poincaré index theorem. Zbl 0264.05112Glass, Leon 6 1973 Bifurcation structures in two-dimensional maps: the endoskeletons of shrimps. Zbl 1290.37026Façanha, Wilson; Oldeman, Bart; Glass, Leon 5 2013 An atlas of robust, stable, high-dimensional limit cycles. Zbl 1183.34043Robust, Roy; Glass, Leon 5 2009 The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue. Zbl 1152.92328Steinberg, Benjamin E.; Glass, Leon; Shrier, Alvin; Bub, Gil 4 2006 Symbolic dynamics and skeletons of circle maps. Zbl 0820.58015Zeng, Wan-Zhen; Glass, Leon 4 1989 Hybrid models of genetic networks: mathematical challenges and biological relevance. Zbl 1406.92241Glass, Leon; Edwards, Roderick 4 2018 Apparent discontinuities in the phase-resetting response of cardiac pacemakers. Zbl 1447.92199Krogh-Madsen, T.; Glass, L.; Doedel, E. J.; Guevara, M. R. 4 2004 Scroll waves in spherical shell geometries. Zbl 1080.92500Chávez, Francisco; Kapral, Raymond; Rousseau, Guillaume; Glass, Leon 4 2001 Chaotic dynamics and diffusion in a piecewise linear equation. Zbl 1374.92048Shahrear, Pabel; Glass, Leon; Edwards, Rod 3 2015 Parkinsonian tremor and simplification in network dynamics. Zbl 1323.92044Edwards, Roderick; Beuter, Anne; Glass, Leon 3 1999 Spiral wave dynamics in excitable media with spherical geometries. Zbl 1151.35391Rohlf, Katrin; Glass, Leon; Kapral, Raymond 3 2006 Dynamics in genetic networks. Zbl 1327.92032Edwards, Roderick; Glass, Leon 3 2014 A mathematical model of human atrioventricular nodal function incorporating concealed conduction. Zbl 1334.92092Jørgensen, Peter; Schäfer, Carsten; Guerra, Peter G.; Talajic, Mario; Nattel, Stanley; Glass, Leon 3 2002 Stochastic aspects of cardiac arrhythmias. Zbl 1115.92031Lerma, Claudia; Krogh-Madsen, Trine; Guevara, Michael; Glass, Leon 2 2007 Continuity of resetting curves for FitzHugh-Nagumo equations on the circle. Zbl 0918.35014Gedeon, Tomáš; Glass, Leon 2 1999 Nonlinear dynamics of physiological function and control. Zbl 0900.92063Glass, Leon 2 1991 A topological theorem for nonlinear dynamics in chemical and ecological networks. Zbl 0309.92006Glass, Leon 2 1975 Some elements for a history of the dynamical systems theory. Zbl 1462.37002Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L. 2 2021 Functional characterization of oscillatory and excitable media. Zbl 1334.92070Glass, Leon; Shrier, Alvin 1 2015 Dynamical disease - the impact of nonlinear dynamics and chaos on cardiology and medicine. Zbl 0877.92018Glass, Leon 1 1995 A model for mechano-electrical feedback effects on atrial flutter interval variability. Zbl 1142.92018Masé, Michela; Glass, Leon; Ravelli, Flavia 1 2008 Collapsing chaos. Zbl 1404.92131Shahrear, Pabel; Glass, Leon; Edwards, Roderick 1 2018 Double-wave reentry in excitable media. Zbl 1420.92013Cytrynbaum, Eric N.; Mackay, Vincent; Nahman-Lévesque, Olivier; Dobbs, Matt; Bub, Gil; Shrier, Alvin; Glass, Leon 1 2019 Continuity of resetting a pacemaker in an excitable medium. Zbl 1235.37033Borek, Bartłomiej; Glass, Leon; Oldeman, Bart E. 1 2011 Dynamics in piecewise linear and continuous models of complex switching networks. Zbl 07313344Shahrear, Pabel; Glass, Leon; Wilds, Roy; Edwards, Rod 1 2015 Some elements for a history of the dynamical systems theory. Zbl 1462.37002Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L. 2 2021 Double-wave reentry in excitable media. Zbl 1420.92013Cytrynbaum, Eric N.; Mackay, Vincent; Nahman-Lévesque, Olivier; Dobbs, Matt; Bub, Gil; Shrier, Alvin; Glass, Leon 1 2019 Hybrid models of genetic networks: mathematical challenges and biological relevance. Zbl 1406.92241Glass, Leon; Edwards, Roderick 4 2018 Collapsing chaos. Zbl 1404.92131Shahrear, Pabel; Glass, Leon; Edwards, Roderick 1 2018 Chaotic dynamics and diffusion in a piecewise linear equation. Zbl 1374.92048Shahrear, Pabel; Glass, Leon; Edwards, Rod 3 2015 Functional characterization of oscillatory and excitable media. Zbl 1334.92070Glass, Leon; Shrier, Alvin 1 2015 Dynamics in piecewise linear and continuous models of complex switching networks. Zbl 07313344Shahrear, Pabel; Glass, Leon; Wilds, Roy; Edwards, Rod 1 2015 Dynamics in genetic networks. Zbl 1327.92032Edwards, Roderick; Glass, Leon 3 2014 Introduction to focus issue: quantitative approaches to genetic networks. Zbl 1331.92049Albert, Réka; Collins, James J.; Glass, Leon 11 2013 Bifurcation structures in two-dimensional maps: the endoskeletons of shrimps. Zbl 1290.37026Façanha, Wilson; Oldeman, Bart; Glass, Leon 5 2013 The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Zbl 1268.92016Ermentrout, G. Bard; Glass, Leon; Oldeman, Bart E. 9 2012 Continuity of resetting a pacemaker in an excitable medium. Zbl 1235.37033Borek, Bartłomiej; Glass, Leon; Oldeman, Bart E. 1 2011 Robust dynamics in minimal hybrid models of genetic networks. Zbl 1211.37115Perkins, Theodore J.; Wilds, Roy; Glass, Leon 6 2010 An atlas of robust, stable, high-dimensional limit cycles. Zbl 1183.34043Robust, Roy; Glass, Leon 5 2009 A model for mechano-electrical feedback effects on atrial flutter interval variability. Zbl 1142.92018Masé, Michela; Glass, Leon; Ravelli, Flavia 1 2008 Stochastic aspects of cardiac arrhythmias. Zbl 1115.92031Lerma, Claudia; Krogh-Madsen, Trine; Guevara, Michael; Glass, Leon 2 2007 The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue. Zbl 1152.92328Steinberg, Benjamin E.; Glass, Leon; Shrier, Alvin; Bub, Gil 4 2006 Spiral wave dynamics in excitable media with spherical geometries. Zbl 1151.35391Rohlf, Katrin; Glass, Leon; Kapral, Raymond 3 2006 Chaotic dynamics in an electronic model of a genetic network. Zbl 1091.37026Glass, Leon; Perkins, Theodore J.; Mason, Jonathan; Siegelmann, Hava T.; Edwards, Roderick 6 2005 Evolving complex dynamics in electronic models of genetic networks. Zbl 1080.92515Mason, Jonathan; Linsay, Paul S.; Collins, J. J.; Glass, Leon 11 2004 Apparent discontinuities in the phase-resetting response of cardiac pacemakers. Zbl 1447.92199Krogh-Madsen, T.; Glass, L.; Doedel, E. J.; Guevara, M. R. 4 2004 Nonlinear dynamics in physiology and medicine. Zbl 1050.92013 11 2003 Dynamics in high-dimensional model gene networks. Zbl 1144.37467Kappler, K.; Edwards, R.; Glass, L. 7 2003 A mathematical model of human atrioventricular nodal function incorporating concealed conduction. Zbl 1334.92092Jørgensen, Peter; Schäfer, Carsten; Guerra, Peter G.; Talajic, Mario; Nattel, Stanley; Glass, Leon 3 2002 Scroll waves in spherical shell geometries. Zbl 1080.92500Chávez, Francisco; Kapral, Raymond; Rousseau, Guillaume; Glass, Leon 4 2001 Combinatorial explosion in model gene networks. Zbl 1033.92014Edwards, R.; Glass, L. 33 2000 Parkinsonian tremor and simplification in network dynamics. Zbl 1323.92044Edwards, Roderick; Beuter, Anne; Glass, Leon 3 1999 Continuity of resetting curves for FitzHugh-Nagumo equations on the circle. Zbl 0918.35014Gedeon, Tomáš; Glass, Leon 2 1999 Chaos in high-dimensional neural and gene networks. Zbl 0890.58054Mestl, Thomas; Lemay, Chris; Glass, Leon 27 1996 A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052Courtemanche, Marc; Keener, James P.; Glass, Leon 20 1996 Understanding nonlinear dynamics. Zbl 0823.34002Kaplan, Daniel; Glass, Leon 48 1995 Bifurcations in a discontinuous circle map: A theory for a chaotic cardiac arrhythmia. Zbl 0885.92025Bub, Gil; Glass, Leon 8 1995 Dynamical disease - the impact of nonlinear dynamics and chaos on cardiology and medicine. Zbl 0877.92018Glass, Leon 1 1995 Bifurcations in flat-topped maps and the control of cardiac chaos. Zbl 0877.92007Glass, Leon; Zeng, Wanzhen 17 1994 Coarse-grained embeddings of time series: Random walks, Gaussian random processes, and deterministic chaos. Zbl 0773.58016Kaplan, Daniel T.; Glass, Leon 17 1993 Theory of reentrant excitation in a ring of cardiac tissue. Zbl 0780.92014Ito, Hiroyuki; Glass, Leon 10 1992 Cardiac arrythmias and circle maps – a classical problem. Zbl 0900.92093Glass, Leon 21 1991 Steady states, limit cycles, and chaos in models of complex biological networks. Zbl 0900.92006Lewis, John E.; Glass, Leon 12 1991 Nonlinear dynamics of physiological function and control. Zbl 0900.92063Glass, Leon 2 1991 There is a theory of heart. Zbl 0698.92005Glass, Leon; Hunter, P. 13 1990 A circle map in a human heart. Zbl 0684.92003Courtemanche, M.; Glass, L.; Bélair, J.; Scagliotti, D.; Gordon, D. 8 1989 Symbolic dynamics and skeletons of circle maps. Zbl 0820.58015Zeng, Wan-Zhen; Glass, Leon 4 1989 From clocks to chaos. The rhythms of life. Zbl 0705.92004Glass, Leon; Mackey, Michael C. 196 1988 Time delays, oscillations, and chaos in physiological control systems. Zbl 0649.92008Glass, Leon; Beuter, Anne; Larocque, David 16 1988 Nonlinear dynamics, chaos and complex cardiac arrhythmias. Zbl 0626.92001Glass, L.; Goldberger, A. L.; Courtemanche, M.; Shrier, A. 9 1987 Universality and self-similarity in the bifurcations of circle maps. Zbl 0593.58030Bélair, Jacques; Glass, Leon 8 1985 Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005Keener, James P.; Glass, Leon 15 1984 Chaos in neurobiology. Zbl 0543.92006Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin 24 1983 Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Zbl 0489.92007Guevara, Michael R.; Glass, Leon 40 1982 Pathological conditions resulting from instabilities in physiological control systems. Zbl 0427.92004Glass, Leon; Mackey, Michael C. 48 1979 A simple model for phase locking of biological oscillators. Zbl 0397.92006Glass, Leon; Mackey, Michael C. 29 1979 Stable oscillations in mathematical models of biological control systems. Zbl 0391.92001Glass, Leon; Pasternack, Joel S. 62 1978 Oscillation and chaos in physiological control systems. Zbl 1383.92036Mackey, M. C.; Glass, L. 758 1977 A topological theorem for nonlinear dynamics in chemical and ecological networks. Zbl 0309.92006Glass, Leon 2 1975 A combinatorial analogue of the Poincaré index theorem. Zbl 0264.05112Glass, Leon 6 1973 all cited Publications top 5 cited Publications all top 5 Cited by 2,277 Authors 25 Glass, Leon 19 Mackey, Michael Charles 14 Gedeon, Tomáš 13 Edwards, Roderick 11 Ghosh, Dibakar 10 Kurths, Jürgen 10 Longtin, André 9 Braverman, Elena 9 Cummins, Bree 9 Mischaikow, Konstantin 9 Saker, Samir H. 9 Wu, Jianhong 8 Gouzé, Jean-Luc 7 Coombes, Stephen 7 Erdogan, Fevzi 7 Golubyatnikov, Vladimir Petrovich 7 Liz, Eduardo 7 Mallet-Paret, John Joseph 7 Mukherjee, Sayan 6 Ahn, Choon Ki 6 an der Heiden, Uwe 6 Avrutin, Viktor 6 Bélair, Jacques 6 Berezansky, Leonid M. 6 Chen, Ruipeng 6 Ermentrout, George Bard 6 Nussbaum, Roger David 6 Oh, Sungkwun 6 Palit, Sanjay Kumar 6 Pedrycz, Witold 6 Roy Chowdhury, Asesh 6 Wang, Xiao 6 Wei, Junjie 6 Yang, Xiaosong 6 Yi, Taishan 5 Amiraliyev, Gabil M. 5 Bhattacharya, Dilip Kumar 5 Breda, Dimitri 5 Bressloff, Paul C. 5 Collins, James J. 5 Ding, Xiaohua 5 Duressa, Gemechis File 5 Farcot, Etienne 5 Faria, Teresa 5 Frank, Till Daniel 5 Hsiao, Feng-Hsiag 5 Keener, James P. 5 Kuznetsov, Aleksandr Petrovich 5 Lani-Wayda, Bernhard 5 Lessard, Jean-Philippe 5 Letellier, Christophe 5 Li, Zhixiang 5 Milton, John G. 5 Qian, Chuanxi 5 Sharma, Kapil Kumar 5 Skardal, Per Sebastian 5 Su, Huan 5 Sugie, Jitsuro 5 Tresser, Charles 5 Trofimchuk, Sergei I. 5 Walther, Hans-Otto 5 Zou, Xingfu 4 Aguirre, Luis Antonio 4 Akhmet, Marat Ubaydulla 4 Alford, John G. 4 Balocchi, Rita 4 Banerjee, Santo 4 Banerjee, Tanmoy 4 Biswas, Debabrata 4 Chaves, Madalena 4 Chen, Yuming 4 Di Garbo, Angelo 4 Ding, Huisheng 4 Elsayed, Elsayed Mohammed 4 Ermentrout, Bard G. 4 Franco Leis, Daniel 4 Graef, John R. 4 Humphries, Antony R. 4 Idels, Lev V. 4 Ivanov, Anatoli F. 4 Karimaghaee, Paknosh 4 Krauskopf, Bernd 4 Kumar Upadhyay, Ranjit 4 Lakshmanan, Muthusamy 4 Li, Xiaoya 4 Ma, Ruyun 4 Magnitskii, Nikolai Alexandrovich 4 Mei, Ming 4 Mireles-James, Jason D. 4 Moehlis, Jeff 4 Öktem, Hakan 4 Pomares, Héctor 4 Rojas, Ignacio 4 Röst, Gergely 4 Sun, Zhongkui 4 Tan, Yanxiang 4 Taylor, Dane 4 Wang, Lin 4 Woldaregay, Mesfin Mekuria 4 Yan, Yan ...and 2,177 more Authors all top 5 Cited in 246 Serials 126 Chaos 96 Physica D 75 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 74 Chaos, Solitons and Fractals 47 Applied Mathematics and Computation 41 Journal of Mathematical Biology 29 Journal of Theoretical Biology 26 Bulletin of Mathematical Biology 25 SIAM Journal on Applied Dynamical Systems 24 Communications in Nonlinear Science and Numerical Simulation 23 Journal of Mathematical Analysis and Applications 22 Journal of Differential Equations 21 Mathematical Biosciences 20 Nonlinear Dynamics 17 Neural Computation 16 Journal of Dynamics and Differential Equations 15 Advances in Difference Equations 14 Biological Cybernetics 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Computers & Mathematics with Applications 13 Physica A 13 Mathematical and Computer Modelling 13 Abstract and Applied Analysis 13 Nonlinear Analysis. Real World Applications 10 Journal of Statistical Physics 10 Physics Letters. A 10 Fuzzy Sets and Systems 10 Information Sciences 10 Journal of Computational and Applied Mathematics 10 Discrete Dynamics in Nature and Society 10 Discrete and Continuous Dynamical Systems. Series B 9 Applied Mathematical Modelling 9 Journal of Difference Equations and Applications 8 Applied Mathematics Letters 8 Neural Networks 8 Numerical Algorithms 8 Mathematical Problems in Engineering 7 Mathematical Methods in the Applied Sciences 7 Journal of Computational Neuroscience 7 Journal of Applied Mathematics and Computing 7 Nonlinear Analysis. Theory, Methods & Applications 6 Theoretical and Mathematical Physics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Theoretical Population Biology 5 Dynamics and Stability of Systems 5 Soft Computing 5 Journal of Inequalities and Applications 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Modern Physics Letters B 4 International Journal of Systems Science 4 Physics Reports 4 Transactions of the American Mathematical Society 4 Systems & Control Letters 4 Acta Applicandae Mathematicae 4 Computational Mathematics and Modeling 4 Journal of Nonlinear Science 4 SIAM Journal on Scientific Computing 4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 4 International Journal of Applied Mathematics and Computer Science 4 Qualitative Theory of Dynamical Systems 4 Boundary Value Problems 4 Nonlinear Analysis. Hybrid Systems 4 Mathematical Modelling of Natural Phenomena 4 International Journal of Applied and Computational Mathematics 3 International Journal of Modern Physics B 3 Applicable Analysis 3 Journal of Computational Physics 3 Journal of the Franklin Institute 3 Nonlinearity 3 Journal of Optimization Theory and Applications 3 Quarterly of Applied Mathematics 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Modern Physics C 3 Stochastics and Dynamics 3 Mediterranean Journal of Mathematics 3 Mathematical Biosciences and Engineering 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Biomathematics 3 Asian Journal of Control 3 Journal of Applied Mathematics & Informatics 3 Journal of Computational Dynamics 2 Archive for Rational Mechanics and Analysis 2 International Journal of Control 2 International Journal of General Systems 2 International Journal of Theoretical Physics 2 Journal of Engineering Mathematics 2 Automatica 2 Calcolo 2 Mathematics and Computers in Simulation 2 Monatshefte für Mathematik 2 Numerical Functional Analysis and Optimization 2 Siberian Mathematical Journal 2 Theoretical Computer Science ...and 146 more Serials all top 5 Cited in 45 Fields 586 Ordinary differential equations (34-XX) 579 Biology and other natural sciences (92-XX) 453 Dynamical systems and ergodic theory (37-XX) 178 Systems theory; control (93-XX) 150 Numerical analysis (65-XX) 90 Partial differential equations (35-XX) 65 Statistics (62-XX) 64 Computer science (68-XX) 56 Difference and functional equations (39-XX) 47 Operator theory (47-XX) 46 Information and communication theory, circuits (94-XX) 37 Probability theory and stochastic processes (60-XX) 37 Statistical mechanics, structure of matter (82-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Operations research, mathematical programming (90-XX) 16 Mechanics of particles and systems (70-XX) 14 Integral equations (45-XX) 11 Combinatorics (05-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Optics, electromagnetic theory (78-XX) 8 Mathematical logic and foundations (03-XX) 8 Real functions (26-XX) 7 Fluid mechanics (76-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Approximations and expansions (41-XX) 6 Geophysics (86-XX) 5 Measure and integration (28-XX) 5 General topology (54-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of deformable solids (74-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) Citations by Year