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Bard Ermentrout, G.

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Author ID: bard-ermentrout.g Recent zbMATH articles by "Bard Ermentrout, G."
Published as: Bard Ermentrout, G.; Ermentrout, G. Bard
Documents Indexed: 52 Publications since 1980

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 523 times in 390 Documents Cited by Year
Existence and uniqueness of travelling waves for a neural network. Zbl 0797.35072
Ermentrout, G. Bard; McLeod, J. Bryce
93
1993
Spatially structured activity in synaptically coupled neuronal networks. I: Traveling fronts and pulses. Zbl 1001.92021
Pinto, David J.; Ermentrout, G. Bard
87
2001
Synchronization in a pool of mutually coupled oscillators with random frequencies. Zbl 0558.92001
Ermentrout, G. Bard
61
1985
Spatially structured activity in synaptically coupled neuronal networks. II: Lateral inhibition and standing pulses. Zbl 1070.92506
Pinto, David J.; Ermentrout, G. Bard
50
2001
Stable periodic solutions to discrete and continuum arrays of weakly coupled nonlinear oscillators. Zbl 0786.45005
Ermentrout, G. Bard
34
1992
n:m phase-locking of weakly coupled oscillators. Zbl 0476.92007
Ermentrout, G. Bard
29
1981
Stimulus-driven traveling solutions in continuum neuronal models with a general smooth firing rate function. Zbl 1209.92009
Ermentrout, G. Bard; Jalics, Jozsi Z.; Rubin, Jonathan E.
16
2010
Reflected waves in an inhomogeneous excitable medium. Zbl 0858.92009
Ermentrout, G. Bard; Rinzel, John
13
1996
Stable rotating waves in two-dimensional discrete active media. Zbl 0832.92002
Paullet, Joseph E.; Ermentrout, G. Bard
13
1994
Models for contact-mediated pattern formation: Cells that form parallel arrays. Zbl 0717.92006
Edelstein-Keshet, Leah; Ermentrout, G. Bard
12
1990
Selecting a common direction. II: Peak-like solutions representing total alignment of cell clusters. Zbl 0858.92007
Mogilner, Alexander; Edelstein-Keshet, Leah; Ermentrout, G. Bard
10
1996
The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Zbl 1268.92016
Ermentrout, G. Bard; Glass, Leon; Oldeman, Bart E.
9
2012
Waves in a simple, excitable or oscillatory, reaction-diffusion model. Zbl 0456.92025
Ermentrout, G. Bard; Rinzel, John
8
1981
Stable small-amplitude solutions in reaction-diffusion systems. Zbl 0459.35045
Ermentrout, G. Bard
7
1981
Waves and patterns on regular graphs. Zbl 1325.34051
Udeigwe, Lawrence C.; Ermentrout, G. Bard
6
2015
Effects of delay on the type and velocity of travelling pulses in neuronal networks with spatially decaying connectivity. Zbl 0956.92008
Golomb, David; Ermentrout, G. Bard
6
2000
Models for the length distributions of actin filaments. I: Simple polymerization and fragmentation. Zbl 1053.92503
Edelstein-Keshet, Leah; Ermentrout, G. Bard
6
1998
Monotonicity of phaselocked solutions in chains and arrays of nearest-neighbor coupled oscillators. Zbl 0917.34026
Ren, Liwei; Ermentrout, G. Bard
6
1998
Bifurcations of stationary solutions in an interacting pair of E-I neural fields. Zbl 1276.37049
Folias, Stefanos E.; Ermentrout, G. Bard
5
2012
Analytic approximations of statistical quantities and response of noisy oscillators. Zbl 1210.82050
Ly, Cheng; Ermentrout, G. Bard
5
2011
Spiral waves in spatially discrete \(\lambda-\omega\) systems. Zbl 0918.34047
Paullet, Joseph E.; Ermentrout, G. Bard
5
1998
A mathematical model of intrahost pneumococcal pneumonia infection dynamics in murine strains. Zbl 1412.92293
Mochan, Ericka; Swigon, David; Ermentrout, G. Bard; Lukens, Sarah; Clermont, Gilles
4
2014
Analysis of recurrent networks of pulse-coupled noisy neural oscillators. Zbl 1200.90036
Ly, Cheng; Ermentrout, G. Bard
4
2010
Models for the length of actin filaments. II: Polymerization and fragmentation by gelsolin acting together. Zbl 1053.92504
Ermentrout, G. Bard; Edelstein-Keshet, Leah
4
1998
Period doublings and possible chaos in neural models. Zbl 0532.92005
Ermentrout, G. Bard
4
1984
Models for spatial polymerization dynamics of rod-like polymers. Zbl 0998.92015
Edelstein-Keshet, Leah; Ermentrout, G. Bard
3
2000
Small amplitude stable wavetrains in reaction-diffusion systems. Zbl 0458.76080
Ermentrout, G. Bard
3
1980
One-dimensional \(\lambda -\omega\) target patterns: Empirical stability tests. Zbl 0444.76030
Ermentrout, G. Bard; Rinzel, John
3
1980
Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity. Zbl 1344.92036
Heitmann, Stewart; Ermentrout, G. Bard
2
2015
Hallucinogen persisting perception disorder in neuronal networks with adaptation. Zbl 1446.92058
Kilpatrick, Zachary P.; Ermentrout, G. Bard
2
2012
Rotational model for actin filament alignment by myosin. Zbl 1397.92063
Miller, Callie J.; Bard Ermentrout, G.; Davidson, Lance A.
2
2012
The mechanisms for compression and reflection of cortical waves. Zbl 1248.92009
Goulet, Julie; Ermentrout, G. Bard
2
2011
A mathematical model of pulmonary gas exchange under inflammatory stress. Zbl 1406.92115
Reynolds, Angela; Ermentrout, G. Bard; Clermont, Gilles
2
2010
Phase boundaries as electrically induced phosphenes. Zbl 1210.37068
Drover, Jonathan D.; Ermentrout, G. Bard
2
2006
Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053
Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard
1
2017
Heterogeneity and oscillations in small swarms. Zbl 1370.37149
Dunworth, Jeffrey B.; Ermentrout, G. Bard
1
2016
Qualitative effects of monovalent vaccination against rotavirus: A comparison of north America and south America. Zbl 1339.92097
Young, Glenn; Shim, Eunha; Ermentrout, G. Bard
1
2015
Stimulus features, resetting curves, and the dependence on adaptation. Zbl 1276.92012
Arthur, Joseph G.; Burton, Shawn D.; Ermentrout, G. Bard
1
2013
A model for actin-filament length distribution in a lamellipod. Zbl 0993.92009
Edelstein-Keshet, Leah; Ermentrout, G. Bard
1
2001
Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053
Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard
1
2017
Heterogeneity and oscillations in small swarms. Zbl 1370.37149
Dunworth, Jeffrey B.; Ermentrout, G. Bard
1
2016
Waves and patterns on regular graphs. Zbl 1325.34051
Udeigwe, Lawrence C.; Ermentrout, G. Bard
6
2015
Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity. Zbl 1344.92036
Heitmann, Stewart; Ermentrout, G. Bard
2
2015
Qualitative effects of monovalent vaccination against rotavirus: A comparison of north America and south America. Zbl 1339.92097
Young, Glenn; Shim, Eunha; Ermentrout, G. Bard
1
2015
A mathematical model of intrahost pneumococcal pneumonia infection dynamics in murine strains. Zbl 1412.92293
Mochan, Ericka; Swigon, David; Ermentrout, G. Bard; Lukens, Sarah; Clermont, Gilles
4
2014
Stimulus features, resetting curves, and the dependence on adaptation. Zbl 1276.92012
Arthur, Joseph G.; Burton, Shawn D.; Ermentrout, G. Bard
1
2013
The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Zbl 1268.92016
Ermentrout, G. Bard; Glass, Leon; Oldeman, Bart E.
9
2012
Bifurcations of stationary solutions in an interacting pair of E-I neural fields. Zbl 1276.37049
Folias, Stefanos E.; Ermentrout, G. Bard
5
2012
Hallucinogen persisting perception disorder in neuronal networks with adaptation. Zbl 1446.92058
Kilpatrick, Zachary P.; Ermentrout, G. Bard
2
2012
Rotational model for actin filament alignment by myosin. Zbl 1397.92063
Miller, Callie J.; Bard Ermentrout, G.; Davidson, Lance A.
2
2012
Analytic approximations of statistical quantities and response of noisy oscillators. Zbl 1210.82050
Ly, Cheng; Ermentrout, G. Bard
5
2011
The mechanisms for compression and reflection of cortical waves. Zbl 1248.92009
Goulet, Julie; Ermentrout, G. Bard
2
2011
Stimulus-driven traveling solutions in continuum neuronal models with a general smooth firing rate function. Zbl 1209.92009
Ermentrout, G. Bard; Jalics, Jozsi Z.; Rubin, Jonathan E.
16
2010
Analysis of recurrent networks of pulse-coupled noisy neural oscillators. Zbl 1200.90036
Ly, Cheng; Ermentrout, G. Bard
4
2010
A mathematical model of pulmonary gas exchange under inflammatory stress. Zbl 1406.92115
Reynolds, Angela; Ermentrout, G. Bard; Clermont, Gilles
2
2010
Phase boundaries as electrically induced phosphenes. Zbl 1210.37068
Drover, Jonathan D.; Ermentrout, G. Bard
2
2006
Spatially structured activity in synaptically coupled neuronal networks. I: Traveling fronts and pulses. Zbl 1001.92021
Pinto, David J.; Ermentrout, G. Bard
87
2001
Spatially structured activity in synaptically coupled neuronal networks. II: Lateral inhibition and standing pulses. Zbl 1070.92506
Pinto, David J.; Ermentrout, G. Bard
50
2001
A model for actin-filament length distribution in a lamellipod. Zbl 0993.92009
Edelstein-Keshet, Leah; Ermentrout, G. Bard
1
2001
Effects of delay on the type and velocity of travelling pulses in neuronal networks with spatially decaying connectivity. Zbl 0956.92008
Golomb, David; Ermentrout, G. Bard
6
2000
Models for spatial polymerization dynamics of rod-like polymers. Zbl 0998.92015
Edelstein-Keshet, Leah; Ermentrout, G. Bard
3
2000
Models for the length distributions of actin filaments. I: Simple polymerization and fragmentation. Zbl 1053.92503
Edelstein-Keshet, Leah; Ermentrout, G. Bard
6
1998
Monotonicity of phaselocked solutions in chains and arrays of nearest-neighbor coupled oscillators. Zbl 0917.34026
Ren, Liwei; Ermentrout, G. Bard
6
1998
Spiral waves in spatially discrete \(\lambda-\omega\) systems. Zbl 0918.34047
Paullet, Joseph E.; Ermentrout, G. Bard
5
1998
Models for the length of actin filaments. II: Polymerization and fragmentation by gelsolin acting together. Zbl 1053.92504
Ermentrout, G. Bard; Edelstein-Keshet, Leah
4
1998
Reflected waves in an inhomogeneous excitable medium. Zbl 0858.92009
Ermentrout, G. Bard; Rinzel, John
13
1996
Selecting a common direction. II: Peak-like solutions representing total alignment of cell clusters. Zbl 0858.92007
Mogilner, Alexander; Edelstein-Keshet, Leah; Ermentrout, G. Bard
10
1996
Stable rotating waves in two-dimensional discrete active media. Zbl 0832.92002
Paullet, Joseph E.; Ermentrout, G. Bard
13
1994
Existence and uniqueness of travelling waves for a neural network. Zbl 0797.35072
Ermentrout, G. Bard; McLeod, J. Bryce
93
1993
Stable periodic solutions to discrete and continuum arrays of weakly coupled nonlinear oscillators. Zbl 0786.45005
Ermentrout, G. Bard
34
1992
Models for contact-mediated pattern formation: Cells that form parallel arrays. Zbl 0717.92006
Edelstein-Keshet, Leah; Ermentrout, G. Bard
12
1990
Synchronization in a pool of mutually coupled oscillators with random frequencies. Zbl 0558.92001
Ermentrout, G. Bard
61
1985
Period doublings and possible chaos in neural models. Zbl 0532.92005
Ermentrout, G. Bard
4
1984
n:m phase-locking of weakly coupled oscillators. Zbl 0476.92007
Ermentrout, G. Bard
29
1981
Waves in a simple, excitable or oscillatory, reaction-diffusion model. Zbl 0456.92025
Ermentrout, G. Bard; Rinzel, John
8
1981
Stable small-amplitude solutions in reaction-diffusion systems. Zbl 0459.35045
Ermentrout, G. Bard
7
1981
Small amplitude stable wavetrains in reaction-diffusion systems. Zbl 0458.76080
Ermentrout, G. Bard
3
1980
One-dimensional \(\lambda -\omega\) target patterns: Empirical stability tests. Zbl 0444.76030
Ermentrout, G. Bard; Rinzel, John
3
1980
all top 5

Cited by 606 Authors

19 Ha, Seung-Yeal
14 Coombes, Stephen
13 Ermentrout, Bard G.
12 Kilpatrick, Zachary P.
10 Laing, Carlo R.
9 Bressloff, Paul C.
9 Wyller, John A.
9 Zhang, Linghai
7 Bard Ermentrout, G.
7 DeVille, Lee
7 Ermentrout, George Bard
6 da Silva, Severino Horácio
6 Edelstein-Keshet, Leah
6 Faye, Grégory
6 Li, Wan-Tong
6 Li, Zhuchun
6 Volpert, Vitaly A.
5 Bramburger, Jason J.
5 Bronski, Jared C.
5 Chiu, Chuang-Hsiung
5 Oleynik, Anna
5 Rubin, Jonathan E.
5 Sherratt, Jonathan A.
5 Strogatz, Steven Henry
4 Beuter, Anne
4 Choi, Young-Pil
4 Eftimie, Raluca
4 Einevoll, Gaute T.
4 Faugeras, Olivier Paul
4 Hupkes, Hermen Jan
4 Kawamura, Yoji
4 Lin, Wen-Wei
4 Mirollo, Renato E.
4 Mogilner, Aleksander Isaakovich
4 Scheel, Arnd
4 Xu, Zhaoquan
3 Avitabile, Daniele
3 beim Graben, Peter
3 Bose, Amitabha
3 Chen, Xinfu
3 Chmaj, Adam J. J.
3 Dawes, Adriana T.
3 de Vries, Gerda
3 Delabays, Robin
3 Doi, Shinji
3 French, Donald A.
3 Goldwyn, Eli E.
3 Hastings, Alan
3 Hutt, Axel
3 Jacquod, Philippe
3 Kim, Yongduck
3 Kopell, Nancy J.
3 Kori, Hiroshi
3 Lang, Eva
3 Lewis, Timothy J.
3 Li, Yuexian
3 Lin, Kevin K.
3 Lin, Song-Sun
3 Ly, Cheng
3 Masuda, Naoki
3 Matthews, Paul Charles
3 Park, Jinyeong
3 Peng, Chenchang
3 Pereira, Antônio Luiz
3 Ponosov, Arcady V.
3 Potthast, Roland W. E.
3 Rand, Richard H.
3 Schmidt, Helmut
3 Schouten-Straatman, Willem M.
3 Trofimchuk, Sergei I.
3 van Gils, Stephan A.
3 Veltz, Romain
3 Wedgwood, Kyle C. A.
3 Xue, Xiaoping
3 Young, Lai-Sang
2 Alford, John G.
2 Ashwin, Peter
2 Balossier, Anne
2 Ban, Jungchao
2 Blomquist, Patrick
2 Brackley, Chris A.
2 Chaillet, Antoine
2 Choi, Sun-Ho
2 Chossat, Pascal
2 Civelekoglu, Gül
2 Coletta, Tommaso
2 Coville, Jerome
2 Dávila, Juan
2 Detorakis, Georgios Is.
2 Ferguson, Timothy
2 Fernandez, Bastien
2 Fetecau, Razvan C.
2 Gong, Pulin
2 Hillen, Thomas
2 Holmes, Philip J.
2 Hsia, Chun-Hsiung
2 Inglis, James D.
2 Jin, Shi
2 Jung, Changyeol
2 Jung, Jinwook
...and 506 more Authors
all top 5

Cited in 84 Serials

53 Physica D
30 Journal of Mathematical Biology
19 SIAM Journal on Applied Dynamical Systems
18 Chaos
17 The Journal of Mathematical Neuroscience
16 Biological Cybernetics
16 Neural Computation
14 Journal of Computational Neuroscience
13 Bulletin of Mathematical Biology
13 Journal of Differential Equations
13 Journal of Theoretical Biology
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Journal of Mathematical Analysis and Applications
6 Journal of Mathematical Physics
6 Journal of Statistical Physics
6 SIAM Journal on Applied Mathematics
6 Discrete and Continuous Dynamical Systems. Series B
5 Applied Mathematics and Computation
5 Discrete and Continuous Dynamical Systems
5 Communications in Nonlinear Science and Numerical Simulation
4 Mathematical Biosciences
4 Journal of Dynamics and Differential Equations
4 Differential Equations and Dynamical Systems
4 Networks and Heterogeneous Media
3 Automatica
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Quarterly of Applied Mathematics
3 Advances in Applied Mathematics
3 Applied Mathematics Letters
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
2 Computers & Mathematics with Applications
2 Physics Reports
2 Journal of Computational and Applied Mathematics
2 Mathematical and Computer Modelling
2 Japan Journal of Industrial and Applied Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Calculus of Variations and Partial Differential Equations
2 Physical Review Letters
2 Nonlinear Analysis. Real World Applications
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Reports on Mathematical Physics
1 Advances in Mathematics
1 Canadian Mathematical Bulletin
1 International Journal of Circuit Theory and Applications
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Theoretical Population Biology
1 Transactions of the American Mathematical Society
1 Systems & Control Letters
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Integral Equations and Applications
1 Neural Networks
1 The Annals of Applied Probability
1 Journal of Nonlinear Science
1 Topological Methods in Nonlinear Analysis
1 Applied Mathematics. Series B (English Edition)
1 Electronic Journal of Differential Equations (EJDE)
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Journal of Shanghai University
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of the European Mathematical Society (JEMS)
1 Dynamical Systems
1 Journal of Applied Mathematics
1 Communications on Pure and Applied Analysis
1 Analysis and Applications (Singapore)
1 Advances in Difference Equations
1 Mathematical Biosciences and Engineering
1 Journal of Biological Dynamics
1 Kinetic and Related Models
1 São Paulo Journal of Mathematical Sciences
1 Science China. Mathematics
1 Forum of Mathematics, Sigma
1 SIAM/ASA Journal on Uncertainty Quantification
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year