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Ermentrout, Bard G.

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Author ID: ermentrout.bard-g Recent zbMATH articles by "Ermentrout, Bard G."
Published as: Ermentrout, B.; Ermentrout, Bard; Ermentrout, Bard G.
Documents Indexed: 58 Publications since 1986, including 2 Books

Publications by Year

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
315
2002
An adaptive model for synchrony in the firefly Pteroptyx malaccae. Zbl 0719.92009
Ermentrout, B.
50
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
42
2001
Synchrony, stability, and firing patterns in pulse-coupled oscillators. Zbl 1008.70017
Goel, Pranay; Ermentrout, Bard
36
2002
Stripes or spots? Nonlinear effects in bifurcation of reaction-diffusion equations on the square. Zbl 0727.92003
Ermentrout, Bard
34
1991
Canards, clusters, and synchronization in a weakly coupled interneuron model. Zbl 1167.34352
Ermentrout, Bard; Wechselberger, Martin
21
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
21
2004
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
20
2013
The existence of spiral waves in an oscillatory reaction-diffusion system. Zbl 0823.92003
Paullet, Joseph; Ermentrout, Bard; Troy, William
17
1994
Pattern formation in a network of excitatory and inhibitory cells with adaptation. Zbl 1090.34038
Curtu, Rodica; Ermentrout, Bard
15
2004
Models for branching networks in two dimensions. Zbl 0685.92001
Edelstein-Keshet, Leah; Ermentrout, Bard
15
1989
Greater accuracy and broadened applicability of phase reduction using isostable coordinates. Zbl 1392.92007
Wilson, Dan; Ermentrout, Bard
14
2018
Bifurcations in the Wilson-Cowan equations with nonsmooth firing rate. Zbl 1321.34062
Harris, Jeremy; Ermentrout, Bard
12
2015
Phase locking in chains of multiple-coupled oscillators. Zbl 0970.34027
Ren, Liwei; Ermentrout, Bard
12
2000
The analysis of synaptically generated traveling waves. Zbl 0906.92009
Ermentrout, Bard
10
1998
On the origin and dynamics of the vasomotion of small arteries. Zbl 0793.92006
Gonzalez-Fernandez, Jose M.; Ermentrout, Bard
10
1994
Transition fronts and localized structures in bistable reaction-diffusion equations. Zbl 0935.35069
Ermentrout, Bard; Chen, Xinfu; Chen, Zhixiong
9
1997
Pattern formation in systems with one spatially distributed species. Zbl 0908.92007
Ermentrout, Bard; Lewis, Mark
9
1997
Nonlinear coupling near a degenerate Hopf (Bautin) bifurcation. Zbl 1038.37064
Drover, Jonathan D.; Ermentrout, Bard
8
2003
Augmented phase reduction of (not so) weakly perturbed coupled oscillators. Zbl 1419.70007
Wilson, Dan; Ermentrout, Bard
7
2019
Weakly coupled oscillators in a slowly varying world. Zbl 1382.93017
Park, Youngmin; Ermentrout, Bard
7
2016
Phase-locked patterns of the Kuramoto model on 3-regular graphs. Zbl 1382.34039
DeVille, Lee; Ermentrout, Bard
7
2016
An operational definition of phase characterizes the transient response of perturbed limit cycle oscillators. Zbl 1404.70040
Wilson, Dan; Ermentrout, Bard
6
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.
6
2015
Pattern formation in a model of acute inflammation. Zbl 1250.92021
Penner, Kevin; Ermentrout, Bard; Swigon, David
6
2012
Delays and weakly coupled neuronal oscillators. Zbl 1185.92015
Ermentrout, Bard; Ko, Tae-Wook
6
2009
Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008
Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David
6
2005
Regular traveling waves in a one-dimensional network of Theta neurons. Zbl 1012.34034
Osan, Remus; Rubin, Jonathan; Ermentrout, Bard
6
2002
The evolution of synaptically generated waves in one- and two-dimensional domains. Zbl 0985.92006
Osan, Remus; Ermentrout, Bard
6
2002
Pattern formation in an array of oscillators with electrical and chemical coupling. Zbl 1110.37065
Kazanci, Fatma Gurel; Ermentrout, Bard
5
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
4
1998
Traveling fronts for a class of non-local convolution differential equations. Zbl 0889.45011
Chen, Zhixiong; Ermentrout, Bard; McLeod, Bryce
4
1997
An introduction to neural oscillators. Zbl 0834.92005
Ermentrout, Bard
4
1994
Oscillations in a refractory neural net. Zbl 0986.92001
Curtu, Rodica; Ermentrout, Bard
3
2001
A heuristic description of spiral wave instability in discrete media. Zbl 0885.34037
Ermentrout, Bard
3
1995
Rotating waves in simple scalar excitable media: approximations and numerical solutions. Zbl 1350.92003
Ermentrout, B.; van der Ventel, B. I. S.
2
2016
Phase resetting and coupling of noisy neural oscillators. Zbl 1119.92009
Ermentrout, Bard; Saunders, David
2
2006
Multiple-spike waves in a one-dimensional integrate-and-fire neural network. Zbl 1063.92015
Oşan, Remus; Curtu, Rodica; Rubin, Jonathan; Ermentrout, Bard
2
2004
Losing amplitude and saving phase. Zbl 0598.92024
Ermentrout, Bard
2
1986
The dynamics of bilateral olfactory search and navigation. Zbl 1457.92201
Riman, Nour; Victor, Jonathan D.; Boie, Sebastian D.; Ermentrout, Bard
1
2021
Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation. Zbl 1383.92014
Chen, Xinfu; Ermentrout, Bard
1
2017
A boundary value approach to optimization with an application to salmonella competition. Zbl 1335.92085
Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E.
1
2015
The dynamics of a forced coupled network of active elements. Zbl 1214.37058
Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E.
1
2011
Balancing organization and flexibility in foraging dynamics. Zbl 1407.92153
Tabone, Michaelangelo; Ermentrout, Bard; Doiron, Brent
1
2010
Noisy oscillators. Zbl 1352.92027
Ermentrout, Bard
1
2010
Steady-state analysis of a continuum model for super-infection. Zbl 1231.92048
Ermentrout, Bard; Hastings, Stuart
1
2009
Dynamical consequences of fast-rising, slow-decaying synapses in neuronal networks. Zbl 1052.92011
Ermentrout, Bard
1
2003
Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model. Zbl 1007.68905
Osan, Remus; Ermentrout, Bard
1
2002
The dynamics of bilateral olfactory search and navigation. Zbl 1457.92201
Riman, Nour; Victor, Jonathan D.; Boie, Sebastian D.; Ermentrout, Bard
1
2021
Augmented phase reduction of (not so) weakly perturbed coupled oscillators. Zbl 1419.70007
Wilson, Dan; Ermentrout, Bard
7
2019
Greater accuracy and broadened applicability of phase reduction using isostable coordinates. Zbl 1392.92007
Wilson, Dan; Ermentrout, Bard
14
2018
An operational definition of phase characterizes the transient response of perturbed limit cycle oscillators. Zbl 1404.70040
Wilson, Dan; Ermentrout, Bard
6
2018
Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation. Zbl 1383.92014
Chen, Xinfu; Ermentrout, Bard
1
2017
Weakly coupled oscillators in a slowly varying world. Zbl 1382.93017
Park, Youngmin; Ermentrout, Bard
7
2016
Phase-locked patterns of the Kuramoto model on 3-regular graphs. Zbl 1382.34039
DeVille, Lee; Ermentrout, Bard
7
2016
Rotating waves in simple scalar excitable media: approximations and numerical solutions. Zbl 1350.92003
Ermentrout, B.; van der Ventel, B. I. S.
2
2016
Bifurcations in the Wilson-Cowan equations with nonsmooth firing rate. Zbl 1321.34062
Harris, Jeremy; Ermentrout, Bard
12
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.
6
2015
A boundary value approach to optimization with an application to salmonella competition. Zbl 1335.92085
Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E.
1
2015
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
20
2013
Pattern formation in a model of acute inflammation. Zbl 1250.92021
Penner, Kevin; Ermentrout, Bard; Swigon, David
6
2012
The dynamics of a forced coupled network of active elements. Zbl 1214.37058
Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E.
1
2011
Balancing organization and flexibility in foraging dynamics. Zbl 1407.92153
Tabone, Michaelangelo; Ermentrout, Bard; Doiron, Brent
1
2010
Noisy oscillators. Zbl 1352.92027
Ermentrout, Bard
1
2010
Canards, clusters, and synchronization in a weakly coupled interneuron model. Zbl 1167.34352
Ermentrout, Bard; Wechselberger, Martin
21
2009
Delays and weakly coupled neuronal oscillators. Zbl 1185.92015
Ermentrout, Bard; Ko, Tae-Wook
6
2009
Steady-state analysis of a continuum model for super-infection. Zbl 1231.92048
Ermentrout, Bard; Hastings, Stuart
1
2009
Pattern formation in an array of oscillators with electrical and chemical coupling. Zbl 1110.37065
Kazanci, Fatma Gurel; Ermentrout, Bard
5
2007
Phase resetting and coupling of noisy neural oscillators. Zbl 1119.92009
Ermentrout, Bard; Saunders, David
2
2006
Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008
Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David
6
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
21
2004
Pattern formation in a network of excitatory and inhibitory cells with adaptation. Zbl 1090.34038
Curtu, Rodica; Ermentrout, Bard
15
2004
Multiple-spike waves in a one-dimensional integrate-and-fire neural network. Zbl 1063.92015
Oşan, Remus; Curtu, Rodica; Rubin, Jonathan; Ermentrout, Bard
2
2004
Nonlinear coupling near a degenerate Hopf (Bautin) bifurcation. Zbl 1038.37064
Drover, Jonathan D.; Ermentrout, Bard
8
2003
Dynamical consequences of fast-rising, slow-decaying synapses in neuronal networks. Zbl 1052.92011
Ermentrout, Bard
1
2003
Simulating, analyzing, and animating dynamical systems. A guide to XPPAUT for researchers and students. Zbl 1003.68738
Ermentrout, Bard
315
2002
Synchrony, stability, and firing patterns in pulse-coupled oscillators. Zbl 1008.70017
Goel, Pranay; Ermentrout, Bard
36
2002
Regular traveling waves in a one-dimensional network of Theta neurons. Zbl 1012.34034
Osan, Remus; Rubin, Jonathan; Ermentrout, Bard
6
2002
The evolution of synaptically generated waves in one- and two-dimensional domains. Zbl 0985.92006
Osan, Remus; Ermentrout, Bard
6
2002
Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model. Zbl 1007.68905
Osan, Remus; Ermentrout, Bard
1
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
42
2001
Oscillations in a refractory neural net. Zbl 0986.92001
Curtu, Rodica; Ermentrout, Bard
3
2001
Phase locking in chains of multiple-coupled oscillators. Zbl 0970.34027
Ren, Liwei; Ermentrout, Bard
12
2000
The analysis of synaptically generated traveling waves. Zbl 0906.92009
Ermentrout, Bard
10
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
4
1998
Transition fronts and localized structures in bistable reaction-diffusion equations. Zbl 0935.35069
Ermentrout, Bard; Chen, Xinfu; Chen, Zhixiong
9
1997
Pattern formation in systems with one spatially distributed species. Zbl 0908.92007
Ermentrout, Bard; Lewis, Mark
9
1997
Traveling fronts for a class of non-local convolution differential equations. Zbl 0889.45011
Chen, Zhixiong; Ermentrout, Bard; McLeod, Bryce
4
1997
A heuristic description of spiral wave instability in discrete media. Zbl 0885.34037
Ermentrout, Bard
3
1995
The existence of spiral waves in an oscillatory reaction-diffusion system. Zbl 0823.92003
Paullet, Joseph; Ermentrout, Bard; Troy, William
17
1994
On the origin and dynamics of the vasomotion of small arteries. Zbl 0793.92006
Gonzalez-Fernandez, Jose M.; Ermentrout, Bard
10
1994
An introduction to neural oscillators. Zbl 0834.92005
Ermentrout, Bard
4
1994
An adaptive model for synchrony in the firefly Pteroptyx malaccae. Zbl 0719.92009
Ermentrout, B.
50
1991
Stripes or spots? Nonlinear effects in bifurcation of reaction-diffusion equations on the square. Zbl 0727.92003
Ermentrout, Bard
34
1991
Models for branching networks in two dimensions. Zbl 0685.92001
Edelstein-Keshet, Leah; Ermentrout, Bard
15
1989
Losing amplitude and saving phase. Zbl 0598.92024
Ermentrout, Bard
2
1986
all top 5

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

Citations by Year