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## Bard Ermentrout, G.

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 Author ID: bard-ermentrout.g Published as: Bard Ermentrout, G.; Ermentrout, G. Bard
 Documents Indexed: 52 Publications since 1980
all top 5

#### Co-Authors

 0 single-authored 7 Edelstein-Keshet, Leah 4 Rubin, Jonathan E. 3 Clermont, Gilles 2 Reynolds, Angela 2 Vodovotz, Yoram 2 Young, Glenn 1 Afrazi, Amin 1 Arciero, Julia C. 1 Cytrynbaum, Eric N. 1 Davidson, Lance A. 1 Dawes, Adriana T. 1 Day, Judy D. 1 Demir, Mahmut 1 Hackam, David 1 Jalics, Jozsi Z. 1 Lukens, Sarah 1 Miller, Callie J. 1 Mochan, Ericka 1 Mogilner, Aleksander Isaakovich 1 Salman, Hanna 1 Shim, Eunha 1 Siggers, Richard 1 Swigon, David

#### Serials

 6 Journal of Theoretical Biology 4 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 1 Physica D 1 SIAM Journal on Applied Mathematics
all top 5

#### Fields

 15 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 3 Integral equations (45-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### 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
1993
Spatially structured activity in synaptically coupled neuronal networks. I: Traveling fronts and pulses. Zbl 1001.92021
Pinto, David J.; Ermentrout, G. Bard
2001
Synchronization in a pool of mutually coupled oscillators with random frequencies. Zbl 0558.92001
Ermentrout, G. Bard
1985
Spatially structured activity in synaptically coupled neuronal networks. II: Lateral inhibition and standing pulses. Zbl 1070.92506
Pinto, David J.; Ermentrout, G. Bard
2001
Stable periodic solutions to discrete and continuum arrays of weakly coupled nonlinear oscillators. Zbl 0786.45005
Ermentrout, G. Bard
1992
n:m phase-locking of weakly coupled oscillators. Zbl 0476.92007
Ermentrout, G. Bard
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.
2010
Reflected waves in an inhomogeneous excitable medium. Zbl 0858.92009
Ermentrout, G. Bard; Rinzel, John
1996
Stable rotating waves in two-dimensional discrete active media. Zbl 0832.92002
Paullet, Joseph E.; Ermentrout, G. Bard
1994
Models for contact-mediated pattern formation: Cells that form parallel arrays. Zbl 0717.92006
Edelstein-Keshet, Leah; Ermentrout, G. Bard
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
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.
2012
Waves in a simple, excitable or oscillatory, reaction-diffusion model. Zbl 0456.92025
Ermentrout, G. Bard; Rinzel, John
1981
Stable small-amplitude solutions in reaction-diffusion systems. Zbl 0459.35045
Ermentrout, G. Bard
1981
Waves and patterns on regular graphs. Zbl 1325.34051
Udeigwe, Lawrence C.; Ermentrout, G. Bard
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
2000
Models for the length distributions of actin filaments. I: Simple polymerization and fragmentation. Zbl 1053.92503
Edelstein-Keshet, Leah; Ermentrout, G. Bard
1998
Monotonicity of phaselocked solutions in chains and arrays of nearest-neighbor coupled oscillators. Zbl 0917.34026
Ren, Liwei; Ermentrout, G. Bard
1998
Bifurcations of stationary solutions in an interacting pair of E-I neural fields. Zbl 1276.37049
Folias, Stefanos E.; Ermentrout, G. Bard
2012
Analytic approximations of statistical quantities and response of noisy oscillators. Zbl 1210.82050
Ly, Cheng; Ermentrout, G. Bard
2011
Spiral waves in spatially discrete $$\lambda-\omega$$ systems. Zbl 0918.34047
Paullet, Joseph E.; Ermentrout, G. Bard
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
2014
Analysis of recurrent networks of pulse-coupled noisy neural oscillators. Zbl 1200.90036
Ly, Cheng; Ermentrout, G. Bard
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
1998
Period doublings and possible chaos in neural models. Zbl 0532.92005
Ermentrout, G. Bard
1984
Models for spatial polymerization dynamics of rod-like polymers. Zbl 0998.92015
Edelstein-Keshet, Leah; Ermentrout, G. Bard
2000
Small amplitude stable wavetrains in reaction-diffusion systems. Zbl 0458.76080
Ermentrout, G. Bard
1980
One-dimensional $$\lambda -\omega$$ target patterns: Empirical stability tests. Zbl 0444.76030
Ermentrout, G. Bard; Rinzel, John
1980
Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity. Zbl 1344.92036
Heitmann, Stewart; Ermentrout, G. Bard
2015
Hallucinogen persisting perception disorder in neuronal networks with adaptation. Zbl 1446.92058
Kilpatrick, Zachary P.; Ermentrout, G. Bard
2012
Rotational model for actin filament alignment by myosin. Zbl 1397.92063
Miller, Callie J.; Bard Ermentrout, G.; Davidson, Lance A.
2012
The mechanisms for compression and reflection of cortical waves. Zbl 1248.92009
Goulet, Julie; Ermentrout, G. Bard
2011
A mathematical model of pulmonary gas exchange under inflammatory stress. Zbl 1406.92115
Reynolds, Angela; Ermentrout, G. Bard; Clermont, Gilles
2010
Phase boundaries as electrically induced phosphenes. Zbl 1210.37068
Drover, Jonathan D.; Ermentrout, G. Bard
2006
Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053
Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard
2017
Heterogeneity and oscillations in small swarms. Zbl 1370.37149
Dunworth, Jeffrey B.; Ermentrout, G. Bard
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
2015
Stimulus features, resetting curves, and the dependence on adaptation. Zbl 1276.92012
Arthur, Joseph G.; Burton, Shawn D.; Ermentrout, G. Bard
2013
A model for actin-filament length distribution in a lamellipod. Zbl 0993.92009
Edelstein-Keshet, Leah; Ermentrout, G. Bard
2001
Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053
Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard
2017
Heterogeneity and oscillations in small swarms. Zbl 1370.37149
Dunworth, Jeffrey B.; Ermentrout, G. Bard
2016
Waves and patterns on regular graphs. Zbl 1325.34051
Udeigwe, Lawrence C.; Ermentrout, G. Bard
2015
Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity. Zbl 1344.92036
Heitmann, Stewart; Ermentrout, G. Bard
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
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
2014
Stimulus features, resetting curves, and the dependence on adaptation. Zbl 1276.92012
Arthur, Joseph G.; Burton, Shawn D.; Ermentrout, G. Bard
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.
2012
Bifurcations of stationary solutions in an interacting pair of E-I neural fields. Zbl 1276.37049
Folias, Stefanos E.; Ermentrout, G. Bard
2012
Hallucinogen persisting perception disorder in neuronal networks with adaptation. Zbl 1446.92058
Kilpatrick, Zachary P.; Ermentrout, G. Bard
2012
Rotational model for actin filament alignment by myosin. Zbl 1397.92063
Miller, Callie J.; Bard Ermentrout, G.; Davidson, Lance A.
2012
Analytic approximations of statistical quantities and response of noisy oscillators. Zbl 1210.82050
Ly, Cheng; Ermentrout, G. Bard
2011
The mechanisms for compression and reflection of cortical waves. Zbl 1248.92009
Goulet, Julie; Ermentrout, G. Bard
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.
2010
Analysis of recurrent networks of pulse-coupled noisy neural oscillators. Zbl 1200.90036
Ly, Cheng; Ermentrout, G. Bard
2010
A mathematical model of pulmonary gas exchange under inflammatory stress. Zbl 1406.92115
Reynolds, Angela; Ermentrout, G. Bard; Clermont, Gilles
2010
Phase boundaries as electrically induced phosphenes. Zbl 1210.37068
Drover, Jonathan D.; Ermentrout, G. Bard
2006
Spatially structured activity in synaptically coupled neuronal networks. I: Traveling fronts and pulses. Zbl 1001.92021
Pinto, David J.; Ermentrout, G. Bard
2001
Spatially structured activity in synaptically coupled neuronal networks. II: Lateral inhibition and standing pulses. Zbl 1070.92506
Pinto, David J.; Ermentrout, G. Bard
2001
A model for actin-filament length distribution in a lamellipod. Zbl 0993.92009
Edelstein-Keshet, Leah; Ermentrout, G. Bard
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
2000
Models for spatial polymerization dynamics of rod-like polymers. Zbl 0998.92015
Edelstein-Keshet, Leah; Ermentrout, G. Bard
2000
Models for the length distributions of actin filaments. I: Simple polymerization and fragmentation. Zbl 1053.92503
Edelstein-Keshet, Leah; Ermentrout, G. Bard
1998
Monotonicity of phaselocked solutions in chains and arrays of nearest-neighbor coupled oscillators. Zbl 0917.34026
Ren, Liwei; Ermentrout, G. Bard
1998
Spiral waves in spatially discrete $$\lambda-\omega$$ systems. Zbl 0918.34047
Paullet, Joseph E.; Ermentrout, G. Bard
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
1998
Reflected waves in an inhomogeneous excitable medium. Zbl 0858.92009
Ermentrout, G. Bard; Rinzel, John
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
1996
Stable rotating waves in two-dimensional discrete active media. Zbl 0832.92002
Paullet, Joseph E.; Ermentrout, G. Bard
1994
Existence and uniqueness of travelling waves for a neural network. Zbl 0797.35072
Ermentrout, G. Bard; McLeod, J. Bryce
1993
Stable periodic solutions to discrete and continuum arrays of weakly coupled nonlinear oscillators. Zbl 0786.45005
Ermentrout, G. Bard
1992
Models for contact-mediated pattern formation: Cells that form parallel arrays. Zbl 0717.92006
Edelstein-Keshet, Leah; Ermentrout, G. Bard
1990
Synchronization in a pool of mutually coupled oscillators with random frequencies. Zbl 0558.92001
Ermentrout, G. Bard
1985
Period doublings and possible chaos in neural models. Zbl 0532.92005
Ermentrout, G. Bard
1984
n:m phase-locking of weakly coupled oscillators. Zbl 0476.92007
Ermentrout, G. Bard
1981
Waves in a simple, excitable or oscillatory, reaction-diffusion model. Zbl 0456.92025
Ermentrout, G. Bard; Rinzel, John
1981
Stable small-amplitude solutions in reaction-diffusion systems. Zbl 0459.35045
Ermentrout, G. Bard
1981
Small amplitude stable wavetrains in reaction-diffusion systems. Zbl 0458.76080
Ermentrout, G. Bard
1980
One-dimensional $$\lambda -\omega$$ target patterns: Empirical stability tests. Zbl 0444.76030
Ermentrout, G. Bard; Rinzel, John
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
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#### 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
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#### Cited in 29 Fields

 254 Biology and other natural sciences (92-XX) 125 Partial differential equations (35-XX) 114 Ordinary differential equations (34-XX) 72 Dynamical systems and ergodic theory (37-XX) 64 Integral equations (45-XX) 23 Numerical analysis (65-XX) 19 Probability theory and stochastic processes (60-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Systems theory; control (93-XX) 10 Mechanics of particles and systems (70-XX) 9 Computer science (68-XX) 9 Fluid mechanics (76-XX) 8 Combinatorics (05-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operator theory (47-XX) 4 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)