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## Ermentrout, Bard G.

Compute Distance To:
 Author ID: ermentrout.bard-g Published as: Ermentrout, B.; Ermentrout, Bard; Ermentrout, Bard G.
 Documents Indexed: 58 Publications since 1986, including 2 Books
all top 5

#### Co-Authors

 11 single-authored 5 Osan, Remus 5 Rubin, Jonathan E. 3 Chen, Zhixiong 3 Curtu, Rodica 3 Wilson, Dan D. 2 Chen, Xinfu 2 Drover, Jonathan D. 2 Kazanci, Fatma Gurel 2 Swigon, David 2 Thomas, Peter J. 1 Anderson, David Frederick 1 Azhar, Nabil 1 Bodner, Mark 1 Boie, Sebastian D. 1 Borisyuk, Alla 1 Bressloff, Paul C. 1 Constantine, Gregory M. 1 DeVille, Lee 1 Ding, Yujie 1 Doiron, Brent 1 Dutta-Moscato, Joyeeta 1 Edelstein-Keshet, Leah 1 Faeder, James R. 1 Faugeras, Olivier D. 1 Friedman, Avner 1 Goel, Pranay 1 Gonzalez-Fernandez, Jose M. 1 Gutkin, Boris S. 1 Harris, Jeremy 1 Hastings, Stuart P. 1 Kilpatrick, Zachary P. 1 Ko, Tae-Wook 1 Lewis, Mark Alun 1 Luckhart, Shirley 1 McLeod, John Bryce 1 Mi, Qi 1 Park, Youngmin 1 Parks, Helen F. 1 Pascal, Matthew 1 Paullet, Joseph Edward 1 Penner, Kevin 1 Pinto, David Soares jun. 1 Price, Ian M. 1 Ren, Liwei 1 Riman, Nour 1 Saunders, David J. 1 Savinov, Mariya 1 Su, Jianzhong 1 Tabone, Michaelangelo 1 Terman, David H. 1 Troy, William C. 1 Van der Ventel, B. I. S. 1 Verduzco-Flores, Sergio Oscar 1 Victor, Jonathan D. 1 Vodovotz, Yoram 1 Wang, Bo 1 Wang, Xiaojing 1 Wechselberger, Martin 1 Young, Glenn 1 Zamora, Ruben
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#### Serials

 7 Journal of Mathematical Biology 7 SIAM Journal on Applied Mathematics 7 SIAM Journal on Applied Dynamical Systems 6 Physica D 6 Journal of Computational Neuroscience 3 SIAM Review 2 Bulletin of Mathematical Biology 2 Neural Computation 2 Chaos 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Mathematical Biosciences 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Neurocomputing 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Lecture Notes in Mathematics 1 Software - Environments - Tools 1 The Journal of Mathematical Neuroscience
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#### Fields

 50 Biology and other natural sciences (92-XX) 26 Ordinary differential equations (34-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Partial differential equations (35-XX) 7 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 773 times in 683 Documents Cited by Year
Simulating, analyzing, and animating dynamical systems. A guide to XPPAUT for researchers and students. Zbl 1003.68738
Ermentrout, Bard
2002
An adaptive model for synchrony in the firefly Pteroptyx malaccae. Zbl 0719.92009
Ermentrout, B.
1991
The effects of spike frequency adaptation and negative feeback on the synchronization of neural oscillators. Zbl 0963.68647
Ermentrout, Bard; Pascal, Matthew; Gutkin, Boris
2001
Synchrony, stability, and firing patterns in pulse-coupled oscillators. Zbl 1008.70017
Goel, Pranay; Ermentrout, Bard
2002
Stripes or spots? Nonlinear effects in bifurcation of reaction-diffusion equations on the square. Zbl 0727.92003
Ermentrout, Bard
1991
Canards, clusters, and synchronization in a weakly coupled interneuron model. Zbl 1167.34352
Ermentrout, Bard; Wechselberger, Martin
2009
Analysis of a canard mechanism by which excitatory synaptic coupling can synchronize neurons at low firing frequencies. Zbl 1121.34059
Drover, Jonathan; Rubin, Jonathan; Su, Jianzhong; Ermentrout, Bard
2004
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
2013
The existence of spiral waves in an oscillatory reaction-diffusion system. Zbl 0823.92003
Paullet, Joseph; Ermentrout, Bard; Troy, William
1994
Pattern formation in a network of excitatory and inhibitory cells with adaptation. Zbl 1090.34038
Curtu, Rodica; Ermentrout, Bard
2004
Models for branching networks in two dimensions. Zbl 0685.92001
Edelstein-Keshet, Leah; Ermentrout, Bard
1989
Greater accuracy and broadened applicability of phase reduction using isostable coordinates. Zbl 1392.92007
Wilson, Dan; Ermentrout, Bard
2018
Bifurcations in the Wilson-Cowan equations with nonsmooth firing rate. Zbl 1321.34062
Harris, Jeremy; Ermentrout, Bard
2015
Phase locking in chains of multiple-coupled oscillators. Zbl 0970.34027
Ren, Liwei; Ermentrout, Bard
2000
The analysis of synaptically generated traveling waves. Zbl 0906.92009
Ermentrout, Bard
1998
On the origin and dynamics of the vasomotion of small arteries. Zbl 0793.92006
Gonzalez-Fernandez, Jose M.; Ermentrout, Bard
1994
Transition fronts and localized structures in bistable reaction-diffusion equations. Zbl 0935.35069
Ermentrout, Bard; Chen, Xinfu; Chen, Zhixiong
1997
Pattern formation in systems with one spatially distributed species. Zbl 0908.92007
Ermentrout, Bard; Lewis, Mark
1997
Nonlinear coupling near a degenerate Hopf (Bautin) bifurcation. Zbl 1038.37064
Drover, Jonathan D.; Ermentrout, Bard
2003
Augmented phase reduction of (not so) weakly perturbed coupled oscillators. Zbl 1419.70007
Wilson, Dan; Ermentrout, Bard
2019
Weakly coupled oscillators in a slowly varying world. Zbl 1382.93017
Park, Youngmin; Ermentrout, Bard
2016
Phase-locked patterns of the Kuramoto model on 3-regular graphs. Zbl 1382.34039
DeVille, Lee; Ermentrout, Bard
2016
An operational definition of phase characterizes the transient response of perturbed limit cycle oscillators. Zbl 1404.70040
Wilson, Dan; Ermentrout, Bard
2018
Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics. Zbl 1409.92027
Anderson, David F.; Ermentrout, Bard; Thomas, Peter J.
2015
Pattern formation in a model of acute inflammation. Zbl 1250.92021
Penner, Kevin; Ermentrout, Bard; Swigon, David
2012
Delays and weakly coupled neuronal oscillators. Zbl 1185.92015
Ermentrout, Bard; Ko, Tae-Wook
2009
Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008
Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David
2005
Regular traveling waves in a one-dimensional network of Theta neurons. Zbl 1012.34034
Osan, Remus; Rubin, Jonathan; Ermentrout, Bard
2002
The evolution of synaptically generated waves in one- and two-dimensional domains. Zbl 0985.92006
Osan, Remus; Ermentrout, Bard
2002
Pattern formation in an array of oscillators with electrical and chemical coupling. Zbl 1110.37065
Kazanci, Fatma Gurel; Ermentrout, Bard
2007
Wave propagation mediated by $$\text{GABA}_B$$ synapse and rebound excitation in an inhibitory network: A reduced model approach. Zbl 0894.92009
Chen, Zhixiong; Ermentrout, Bard; Wang, Xiao-Jing
1998
Traveling fronts for a class of non-local convolution differential equations. Zbl 0889.45011
Chen, Zhixiong; Ermentrout, Bard; McLeod, Bryce
1997
An introduction to neural oscillators. Zbl 0834.92005
Ermentrout, Bard
1994
Oscillations in a refractory neural net. Zbl 0986.92001
Curtu, Rodica; Ermentrout, Bard
2001
A heuristic description of spiral wave instability in discrete media. Zbl 0885.34037
Ermentrout, Bard
1995
Rotating waves in simple scalar excitable media: approximations and numerical solutions. Zbl 1350.92003
Ermentrout, B.; van der Ventel, B. I. S.
2016
Phase resetting and coupling of noisy neural oscillators. Zbl 1119.92009
Ermentrout, Bard; Saunders, David
2006
Multiple-spike waves in a one-dimensional integrate-and-fire neural network. Zbl 1063.92015
Oşan, Remus; Curtu, Rodica; Rubin, Jonathan; Ermentrout, Bard
2004
Losing amplitude and saving phase. Zbl 0598.92024
Ermentrout, Bard
1986
The dynamics of bilateral olfactory search and navigation. Zbl 1457.92201
Riman, Nour; Victor, Jonathan D.; Boie, Sebastian D.; Ermentrout, Bard
2021
Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation. Zbl 1383.92014
Chen, Xinfu; Ermentrout, Bard
2017
A boundary value approach to optimization with an application to salmonella competition. Zbl 1335.92085
Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E.
2015
The dynamics of a forced coupled network of active elements. Zbl 1214.37058
Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E.
2011
Balancing organization and flexibility in foraging dynamics. Zbl 1407.92153
Tabone, Michaelangelo; Ermentrout, Bard; Doiron, Brent
2010
Noisy oscillators. Zbl 1352.92027
Ermentrout, Bard
2010
Steady-state analysis of a continuum model for super-infection. Zbl 1231.92048
Ermentrout, Bard; Hastings, Stuart
2009
Dynamical consequences of fast-rising, slow-decaying synapses in neuronal networks. Zbl 1052.92011
Ermentrout, Bard
2003
Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model. Zbl 1007.68905
Osan, Remus; Ermentrout, Bard
2002
The dynamics of bilateral olfactory search and navigation. Zbl 1457.92201
Riman, Nour; Victor, Jonathan D.; Boie, Sebastian D.; Ermentrout, Bard
2021
Augmented phase reduction of (not so) weakly perturbed coupled oscillators. Zbl 1419.70007
Wilson, Dan; Ermentrout, Bard
2019
Greater accuracy and broadened applicability of phase reduction using isostable coordinates. Zbl 1392.92007
Wilson, Dan; Ermentrout, Bard
2018
An operational definition of phase characterizes the transient response of perturbed limit cycle oscillators. Zbl 1404.70040
Wilson, Dan; Ermentrout, Bard
2018
Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation. Zbl 1383.92014
Chen, Xinfu; Ermentrout, Bard
2017
Weakly coupled oscillators in a slowly varying world. Zbl 1382.93017
Park, Youngmin; Ermentrout, Bard
2016
Phase-locked patterns of the Kuramoto model on 3-regular graphs. Zbl 1382.34039
DeVille, Lee; Ermentrout, Bard
2016
Rotating waves in simple scalar excitable media: approximations and numerical solutions. Zbl 1350.92003
Ermentrout, B.; van der Ventel, B. I. S.
2016
Bifurcations in the Wilson-Cowan equations with nonsmooth firing rate. Zbl 1321.34062
Harris, Jeremy; Ermentrout, Bard
2015
Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics. Zbl 1409.92027
Anderson, David F.; Ermentrout, Bard; Thomas, Peter J.
2015
A boundary value approach to optimization with an application to salmonella competition. Zbl 1335.92085
Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E.
2015
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
2013
Pattern formation in a model of acute inflammation. Zbl 1250.92021
Penner, Kevin; Ermentrout, Bard; Swigon, David
2012
The dynamics of a forced coupled network of active elements. Zbl 1214.37058
Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E.
2011
Balancing organization and flexibility in foraging dynamics. Zbl 1407.92153
Tabone, Michaelangelo; Ermentrout, Bard; Doiron, Brent
2010
Noisy oscillators. Zbl 1352.92027
Ermentrout, Bard
2010
Canards, clusters, and synchronization in a weakly coupled interneuron model. Zbl 1167.34352
Ermentrout, Bard; Wechselberger, Martin
2009
Delays and weakly coupled neuronal oscillators. Zbl 1185.92015
Ermentrout, Bard; Ko, Tae-Wook
2009
Steady-state analysis of a continuum model for super-infection. Zbl 1231.92048
Ermentrout, Bard; Hastings, Stuart
2009
Pattern formation in an array of oscillators with electrical and chemical coupling. Zbl 1110.37065
Kazanci, Fatma Gurel; Ermentrout, Bard
2007
Phase resetting and coupling of noisy neural oscillators. Zbl 1119.92009
Ermentrout, Bard; Saunders, David
2006
Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008
Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David
2005
Analysis of a canard mechanism by which excitatory synaptic coupling can synchronize neurons at low firing frequencies. Zbl 1121.34059
Drover, Jonathan; Rubin, Jonathan; Su, Jianzhong; Ermentrout, Bard
2004
Pattern formation in a network of excitatory and inhibitory cells with adaptation. Zbl 1090.34038
Curtu, Rodica; Ermentrout, Bard
2004
Multiple-spike waves in a one-dimensional integrate-and-fire neural network. Zbl 1063.92015
Oşan, Remus; Curtu, Rodica; Rubin, Jonathan; Ermentrout, Bard
2004
Nonlinear coupling near a degenerate Hopf (Bautin) bifurcation. Zbl 1038.37064
Drover, Jonathan D.; Ermentrout, Bard
2003
Dynamical consequences of fast-rising, slow-decaying synapses in neuronal networks. Zbl 1052.92011
Ermentrout, Bard
2003
Simulating, analyzing, and animating dynamical systems. A guide to XPPAUT for researchers and students. Zbl 1003.68738
Ermentrout, Bard
2002
Synchrony, stability, and firing patterns in pulse-coupled oscillators. Zbl 1008.70017
Goel, Pranay; Ermentrout, Bard
2002
Regular traveling waves in a one-dimensional network of Theta neurons. Zbl 1012.34034
Osan, Remus; Rubin, Jonathan; Ermentrout, Bard
2002
The evolution of synaptically generated waves in one- and two-dimensional domains. Zbl 0985.92006
Osan, Remus; Ermentrout, Bard
2002
Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model. Zbl 1007.68905
Osan, Remus; Ermentrout, Bard
2002
The effects of spike frequency adaptation and negative feeback on the synchronization of neural oscillators. Zbl 0963.68647
Ermentrout, Bard; Pascal, Matthew; Gutkin, Boris
2001
Oscillations in a refractory neural net. Zbl 0986.92001
Curtu, Rodica; Ermentrout, Bard
2001
Phase locking in chains of multiple-coupled oscillators. Zbl 0970.34027
Ren, Liwei; Ermentrout, Bard
2000
The analysis of synaptically generated traveling waves. Zbl 0906.92009
Ermentrout, Bard
1998
Wave propagation mediated by $$\text{GABA}_B$$ synapse and rebound excitation in an inhibitory network: A reduced model approach. Zbl 0894.92009
Chen, Zhixiong; Ermentrout, Bard; Wang, Xiao-Jing
1998
Transition fronts and localized structures in bistable reaction-diffusion equations. Zbl 0935.35069
Ermentrout, Bard; Chen, Xinfu; Chen, Zhixiong
1997
Pattern formation in systems with one spatially distributed species. Zbl 0908.92007
Ermentrout, Bard; Lewis, Mark
1997
Traveling fronts for a class of non-local convolution differential equations. Zbl 0889.45011
Chen, Zhixiong; Ermentrout, Bard; McLeod, Bryce
1997
A heuristic description of spiral wave instability in discrete media. Zbl 0885.34037
Ermentrout, Bard
1995
The existence of spiral waves in an oscillatory reaction-diffusion system. Zbl 0823.92003
Paullet, Joseph; Ermentrout, Bard; Troy, William
1994
On the origin and dynamics of the vasomotion of small arteries. Zbl 0793.92006
Gonzalez-Fernandez, Jose M.; Ermentrout, Bard
1994
An introduction to neural oscillators. Zbl 0834.92005
Ermentrout, Bard
1994
An adaptive model for synchrony in the firefly Pteroptyx malaccae. Zbl 0719.92009
Ermentrout, B.
1991
Stripes or spots? Nonlinear effects in bifurcation of reaction-diffusion equations on the square. Zbl 0727.92003
Ermentrout, Bard
1991
Models for branching networks in two dimensions. Zbl 0685.92001
Edelstein-Keshet, Leah; Ermentrout, Bard
1989
Losing amplitude and saving phase. Zbl 0598.92024
Ermentrout, Bard
1986
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#### Cited by 1,253 Authors

 18 Rubin, Jonathan E. 15 Ermentrout, Bard G. 11 Kurths, Jürgen 11 Moehlis, Jeff 11 Wechselberger, Martin 10 Bard Ermentrout, G. 10 Bertram, Richard 10 Ha, Seung-Yeal 10 Laing, Carlo R. 10 Wilson, Dan D. 9 Kilpatrick, Zachary P. 8 Ashwin, Peter 8 Campbell, Sue Ann 7 Bose, Amitabha 7 Bressloff, Paul C. 7 Coombes, Stephen 7 Gu, Huaguang 7 Krupa, Martin 7 Osinga, Hinke Maria 7 Tabak, Joël 7 Wyller, John A. 6 Desroches, Mathieu 6 Ermentrout, George Bard 6 Rotstein, Horacio G. 6 Sherratt, Jonathan A. 6 Tang, Sanyi 6 Vo, Theodore 6 Volkov, Evgenij I. 6 Ward, Michael J. 5 Butera, Robert J. jun. 5 Canavier, Carmen C. 5 David, Timothy 5 Duan, Lixia 5 Einevoll, Gaute T. 5 Kim, Dohyun 5 King, John Robert 5 Li, Zhuchun 5 Longtin, André 5 Maini, Philip Kumar 5 Rocşoreanu, Carmen 5 Sneyd, James 5 Stankevich, Nataliya Vladimirovna 5 Sterpu, Mihaela 5 Wang, Mingxin 4 Bick, Christian 4 Bramburger, Jason J. 4 Burylko, Oleksandr 4 Choi, Young-Pil 4 Edelstein-Keshet, Leah 4 Ersöz, Elif Köksal 4 Gou, Jia 4 Kopell, Nancy J. 4 Krause, Andrew L. 4 Medvedev, Georgi S. 4 Monga, Bharat 4 Nadim, Farzan 4 Owen, Markus Roger 4 Park, Youngmin 4 Pikovsky, Arkady S. 4 Poll, Daniel B. 4 Rodrigues, Serafim 4 Thamilmaran, Kathamuthu 4 Tsaneva-Atanasova, Krasimira T. 4 Yanchuk, Sergiĭ Volodymyrovych 4 Young, Glenn 3 Achuthan, Srisairam 3 Astakhov, Vladimir V. 3 Banerjee, Tanmoy 3 Bi, Yuanhong 3 Bilotta, Eleonora 3 Booth, Victoria 3 Clément, Frédérique 3 Clermont, Gilles 3 Deneubourg, Jean-Louis 3 Dodla, Ramana Reddy V. 3 Dong, Yueping 3 Dörfler, Florian 3 Frascoli, Federico 3 Gaffney, Eamonn A. 3 Gargano, Francesco 3 Ghosh, Mini 3 Glimm, Tilmann 3 Gutkin, Boris S. 3 Hsia, Chun-Hsiung 3 Inaba, Naohiko 3 Jia, Bing 3 Kirk, Vivien 3 Klika, Václav 3 Klinshov, Vladimir 3 Köhnke, Merlin C. 3 Koseska, Aneta 3 Krauskopf, Bernd 3 Krupa, Maciej 3 Kühn, Christian 3 Layton, Anita T. 3 Lee, Jaeseung 3 Letson, Benjamin 3 Li, Yuexian 3 Lombardo, Maria Carmela 3 Loose, Matthew ...and 1,153 more Authors
all top 5

#### Cited in 100 Serials

 66 Physica D 62 Chaos 49 Journal of Theoretical Biology 44 Journal of Computational Neuroscience 37 Journal of Mathematical Biology 36 Bulletin of Mathematical Biology 35 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 28 SIAM Journal on Applied Dynamical Systems 23 Neural Computation 22 The Journal of Mathematical Neuroscience 20 Biological Cybernetics 17 Mathematical Biosciences 17 Communications in Nonlinear Science and Numerical Simulation 12 Journal of Differential Equations 11 Journal of Nonlinear Science 10 Journal of Mathematical Analysis and Applications 10 Theoretical Population Biology 10 Nonlinear Analysis. Real World Applications 9 Nonlinear Dynamics 6 SIAM Journal on Applied Mathematics 6 Journal of Dynamics and Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 5 Physics Letters. A 5 Neural Networks 5 Dynamical Systems 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 4 Applied Mathematical Modelling 4 Mathematical Biosciences and Engineering 4 Journal of Biological Dynamics 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 Mathematical and Computer Modelling 3 European Journal of Applied Mathematics 3 Mathematical Problems in Engineering 3 International Journal of Biomathematics 2 Journal of Fluid Mechanics 2 Physica A 2 Physics Reports 2 Automatica 2 Journal of Computational and Applied Mathematics 2 Quarterly of Applied Mathematics 2 Ricerche di Matematica 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Applied Numerical Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Discrete and Continuous Dynamical Systems 2 Discrete Dynamics in Nature and Society 2 Journal of Biological Systems 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 International Journal of Systems Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Mathematics of Computation 1 International Journal of Circuit Theory and Applications 1 Journal of Mathematical Psychology 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Dynamics and Stability of Systems 1 International Journal of Computer Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Science in China. Series E 1 Abstract and Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 New Journal of Physics 1 European Journal of Mechanics. A. Solids 1 Regular and Chaotic Dynamics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Advances in Complex Systems 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Acta Mechanica Sinica 1 Networks and Heterogeneous Media 1 Nonlinear Analysis. Hybrid Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal of Computational Dynamics 1 ISRN Biomathematics 1 Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 31 Fields

 488 Biology and other natural sciences (92-XX) 284 Ordinary differential equations (34-XX) 134 Dynamical systems and ergodic theory (37-XX) 112 Partial differential equations (35-XX) 42 Numerical analysis (65-XX) 37 Systems theory; control (93-XX) 24 Probability theory and stochastic processes (60-XX) 23 Integral equations (45-XX) 19 Mechanics of particles and systems (70-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Computer science (68-XX) 9 Fluid mechanics (76-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 4 Optics, electromagnetic theory (78-XX) 3 Mechanics of deformable solids (74-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)