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## Kopell, Nancy J.

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 Author ID: kopell.nancy-j Published as: Kopell, Nancy; Kopell, N.; Kopell, Nancy J.; Kopell, N. J. External Links: Women in Mathematics · MGP · Wikidata · dblp
 Documents Indexed: 85 Publications since 1970 Biographic References: 1 Publication
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#### Co-Authors

 18 single-authored 14 Ermentrout, George Bard 8 Howard, Louis N. 6 Rotstein, Horacio G. 4 Börgers, Christoph 4 Jones, Christopher K. R. T. 4 Kaper, Tasso J. 3 McCarthy, Michelle M. 3 Soto-Treviño, Cristina 3 White, John A. 2 Bose, Amitabha 2 Chow, Carson C. 2 Jones, Stephanie R. 2 Krupa, Martin 2 Medvedev, Georgi S. 2 Popović, Nikola 2 Ritt, Jason T. 2 Skinner, Frances K. 2 Somers, David C. 2 Terman, David H. 2 Wechselberger, Martin 1 Abbott, Larry F. 1 Aronson, Donald G. 1 Cannon, Jonathan 1 Clewley, Robert 1 Cunningham, Mark O. 1 Epstein, Irving R. 1 Gelastopoulos, Alexandros 1 Hayes, Michael G. 1 Kærn, Mads 1 Kuznetsov, Alexey S. 1 Landman, Michael J. 1 Langer, R. 1 Lofaro, Thomas 1 Malerba, Paola 1 Marder, Eve 1 Mitry, John 1 Mulloney, Brian 1 Netoff, Theoden Ivan 1 Ono, Kinya 1 Parter, Seymour V. 1 Pervouchine, Dmitri D. 1 Pinto, David J. 1 Ruelle, David Pierre 1 Serenevy, Amanda Katharine 1 Sivan, Ehud 1 Stolzenberg, Gabriel 1 Tin, Siu-Kei 1 Vierling-Claassen, Dorea 1 Vo, Theodore 1 Washburn, Robert B. jun. 1 Whittington, Miles A. 1 Zhabotinsky, Anatol M. 1 Zhang, Weijiang 1 Zhou, Yujia
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#### Serials

 12 SIAM Journal on Applied Mathematics 6 Journal of Mathematical Biology 6 Physica D 6 Journal of Computational Neuroscience 6 SIAM Journal on Applied Dynamical Systems 4 Neural Computation 4 The Journal of Mathematical Neuroscience 3 Studies in Applied Mathematics 3 Advances in Applied Mathematics 3 SIAM Journal on Mathematical Analysis 2 Mathematical Biosciences 2 Advances in Mathematics 1 Communications on Pure and Applied Mathematics 1 IEEE Transactions on Circuits and Systems 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Historia Mathematica 1 Notices of the American Mathematical Society 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Chaos 1 Multiscale Modeling & Simulation
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#### Fields

 53 Biology and other natural sciences (92-XX) 43 Ordinary differential equations (34-XX) 27 Dynamical systems and ergodic theory (37-XX) 17 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

70 Publications have been cited 1,653 times in 1,145 Documents Cited by Year
Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081
Kopell, N.; Howard, L. N.
1973
Parabolic bursting in an excitable system coupled with a slow oscillation. Zbl 0594.58033
Ermentrout, G. B.; Kopell, N.
1986
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
1990
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
1991
Frequency plateaus in a chain of weakly coupled oscillators. I. Zbl 0558.34033
Ermentrout, George Bard; Kopell, Nancy
1984
Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038
Jones, C. K. R. T.; Kopell, N.
1994
Oscillator death in systems of coupled neural oscillators. Zbl 0686.34033
Ermentrout, G. B.; Kopell, N.
1990
Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Zbl 1085.68615
Börgers, Christoph; Kopell, Nancy
2003
Tracking invariant manifolds up to exponentially small errors. Zbl 0871.58072
Jones, C. K. R. T.; Kaper, Tasso J.; Kopell, Nancy
1996
Symmetry and phaselocking in chains of weakly coupled oscillators. Zbl 0596.92011
Kopell, N.; Ermentrout, G. B.
1986
Dynamics of two mutually coupled slow inhibitory neurons. Zbl 0941.34027
Terman, D.; Kopell, N.; Bose, A.
1998
Bifurcations and trajectories joining critical points. Zbl 0361.34026
Kopell, N.; Howard, L. N.
1975
Commuting diffeomorphisms. Zbl 0225.57020
Kopell, Nancy
1970
Coupled oscillators and the design of central pattern generators. Zbl 0649.92009
Kopell, N.; Ermentrout, G. B.
1988
Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070
Howard, L. N.; Kopell, N.
1977
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
2008
Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. Zbl 0838.92002
Skinner, Frances K.; Kopell, Nancy; Marder, Eve
1994
Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057
Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G.
2008
Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024
Tin, S.-K.; Kopell, N.; Jones, C. K. R. T.
1994
Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. Zbl 0896.92010
White, John A.; Chow, Carson C.; Ritt, Jason; Soto-Treviño, Cristina; Kopell, Nancy
1998
Phase transitions and other phenomena in chains of coupled oscillators. Zbl 0711.34029
Kopell, N.; Ermentrout, G. B.
1990
Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353
Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy
2008
Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension. Zbl 0486.35011
Kopell, N.; Howard, L. N.
1981
Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008
Jones, C.; Kopell, N.; Langer, R.
1991
Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators. Zbl 1105.92320
Kopell, N.; Ermentrout, G. B.
2002
Synchrony in a population of hysteresis-based genetic oscillators. Zbl 1090.34031
Kuznetsov, Alexey; Kærn, Mads; Kopell, Nancy
2004
Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Zbl 1059.92008
Börgers, Christoph; Kopell, Nancy
2005
On chains of oscillators forced at one end. Zbl 0748.34020
Kopell, N.; Ermentrout, G. B.; Williams, T. L.
1991
Anti-phase solutions in relaxation oscillators coupled through excitatory interactions. Zbl 0828.92005
Kopell, Nancy; Somers, David
1995
Synchronization and transient dynamics in the chains of electrically coupled FitzHugh-Nagumo oscillators. Zbl 0984.34027
Medvedev, Georgi S.; Kopell, Nancy
2001
Waves and synchrony in networks of oscillators of relaxation and non-relaxation type. Zbl 0900.92021
Somers, David; Kopell, Nancy
1995
Chaotic motions in the two-degree-of-freedom swing equations. Zbl 0506.93029
Kopell, Nancy; Washburn, Robert B. jun.
1982
Spatial structure of the focusing singularity of the nonlinear Schrödinger equation: A geometrical analysis. Zbl 0836.34041
Kopell, Nancy; Landman, Michael
1995
Target patterns and horseshoes from a perturbed central-force problem: Some temporally periodic solutions to reaction-diffusion equations. Zbl 0479.35052
Kopell, N.; Howard, L. N.
1981
Inhibition-produced patterning in chains of coupled nonlinear oscillators. Zbl 0811.92004
Ermentrout, G. B.; Kopell, N.
1994
A geometric approach to boundary layer problems exhibiting resonance. Zbl 0417.34051
Kopell, Nancy
1979
Frequency control in synchronized networks of inhibitory neurons. Zbl 0912.92005
Chow, Carson C.; White, John A.; Ritt, Jason; Kopell, Nancy
1998
Multiple coupling in chains of oscillators. Zbl 0703.34055
Kopell, N.; Zhang, W.; Ermentrout, G. B.
1990
Gamma oscillations and stimulus selection. Zbl 1131.92010
Börgers, Christoph; Kopell, Nancy J.
2008
Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046
Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin
2013
Invariant manifolds and the initialization problem for some atmospheric equations. Zbl 0612.76052
Kopell, N.
1985
A reaction-diffusion system with periodic front dynamics. Zbl 0993.92005
Medvedev, Georgiy S.; Kaper, Tasso J.; Kopell, Nancy
2000
Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065
Kopell, Nancy; Ruelle, David
1986
Low-dimensional maps encoding dynamics in entorhinal cortex and hippocampus. Zbl 1102.92008
Pervouchine, Dmitri D.; Netoff, Theoden I.; Rotstein, Horacio G.; White, John A.; Cunningham, Mark O.; Whittington, Miles A.; Kopell, Nancy J.
2006
Almost-synchronous solutions for mutually coupled excitatory neurons. Zbl 0957.34040
Bose, Amitabha; Kopell, Nancy; Terman, David
2000
A computational tool for the reduction of nonlinear ODE systems possessing multiple scales. Zbl 1091.65127
Clewley, Robert; Rotstein, Horacio G.; Kopell, Nancy
2005
Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. Zbl 0979.92008
LoFaro, Thomas; Kopell, Nancy
1999
A canard mechanism for localization in systems of globally coupled oscillators. Zbl 1088.34030
Rotstein, Horacio G.; Kopell, Nancy; Zhabotinsky, Anatol M.; Epstein, Irving R.
2003
Subcellular oscillations and bursting. Zbl 0589.92006
Kopell, N.; Ermentrout, G. B.
1986
Parabolic bursting revisited. Zbl 0868.92010
Soto-Treviño, C.; Kopell, N.; Watson, D.
1996
How does the crayfish swimmeret system work? Insights from nearest-neighbour coupled oscillator models. Zbl 0893.92008
Skinner, Frances K.; Kopell, Nancy; Mulloney, Brian
1997
Bifurcations under nongeneric conditions. Zbl 0285.34025
Kopell, N.; Howard, L. N.
1974
A complete analysis of a model nonlinear singular perturbation problem having a continuous locus of singular points. Zbl 0483.34044
Kopell, Nancy; Parter, Seymour V.
1981
We got rhythm: Dynamical systems of the nervous system. Zbl 1016.91505
Kopell, Nancy
2000
Wave trains, shock fronts, and transition layers in reaction-diffusion equations. Zbl 0305.35055
Howard, L. N.; Kopell, N.
1974
Pattern formation in the Belousov reaction. Zbl 0323.35045
Kopell, N.; Howard, L. N.
1974
Waves, shocks and target patterns in an oscillating chemical reagent. Zbl 0379.35059
Kopell, N. J.
1977
The dynamics of a periodically forced cortical microcircuit, with an application to schizophrenia. Zbl 1194.92016
Vierling-Claassen, Dorea; Kopell, Nancy
2009
Target pattern solutions to reaction-diffusion equations in the presence of impurities. Zbl 0486.35010
Kopell, Nancy
1981
On the application of geometric singular perturbation theory to some classical two-point boundary value problems. Zbl 0935.34014
Hayes, Michael; Kaper, Tasso J.; Kopell, Nancy; Ono, Kinya
1998
Alpha-frequency rhythms desynchronize over long cortical distances: A modeling study. Zbl 1044.92014
Jones, Stephanie R.; Pinto, David J.; Kaper, Tasso J.; Kopell, Nancy
2000
Frequency plateaus in a chain of weakly coupled oscillators. Zbl 0516.34044
Kopell, Nancy
1983
The leaky oscillator: properties of inhibition-based rhythms revealed through the singular phase response curve. Zbl 1371.92034
Cannon, Jonathan; Kopell, Nancy
2015
Local network parameters can affect inter-network phase lags in central pattern generators. Zbl 1091.92001
Jones, S. R.; Kopell, N.
2006
Effects of heterogeneous periodic forcing on inhibitory networks. Zbl 1284.34082
Serenevy, A. K.; Kopell, N. J.
2013
Time periodic but spatially irregular solutions to a model reaction- diffusion equation. Zbl 0473.35011
Kopell, Nancy
1980
Rhythms of the nervous system: Mathematical themes and variations. Zbl 1051.92014
Kopell, Nancy
2002
Networks of neurons as dynamical systems: From geometry to biophysics. Zbl 0949.92006
Kopell, Nancy
1998
The effect of propofol anesthesia on rebound spiking. Zbl 1263.37085
McCarthy, Michelle M.; Kopell, Nancy
2012
M-current expands the range of gamma frequency inputs to which a neuronal target entrains. Zbl 1405.92056
Zhou, Yujia; Vo, Theodore; Rotstein, Horacio G.; McCarthy, Michelle M.; Kopell, Nancy
2018
M-current expands the range of gamma frequency inputs to which a neuronal target entrains. Zbl 1405.92056
Zhou, Yujia; Vo, Theodore; Rotstein, Horacio G.; McCarthy, Michelle M.; Kopell, Nancy
2018
The leaky oscillator: properties of inhibition-based rhythms revealed through the singular phase response curve. Zbl 1371.92034
Cannon, Jonathan; Kopell, Nancy
2015
Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046
Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin
2013
Effects of heterogeneous periodic forcing on inhibitory networks. Zbl 1284.34082
Serenevy, A. K.; Kopell, N. J.
2013
The effect of propofol anesthesia on rebound spiking. Zbl 1263.37085
McCarthy, Michelle M.; Kopell, Nancy
2012
The dynamics of a periodically forced cortical microcircuit, with an application to schizophrenia. Zbl 1194.92016
Vierling-Claassen, Dorea; Kopell, Nancy
2009
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
2008
Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057
Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G.
2008
Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353
Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy
2008
Gamma oscillations and stimulus selection. Zbl 1131.92010
Börgers, Christoph; Kopell, Nancy J.
2008
Low-dimensional maps encoding dynamics in entorhinal cortex and hippocampus. Zbl 1102.92008
Pervouchine, Dmitri D.; Netoff, Theoden I.; Rotstein, Horacio G.; White, John A.; Cunningham, Mark O.; Whittington, Miles A.; Kopell, Nancy J.
2006
Local network parameters can affect inter-network phase lags in central pattern generators. Zbl 1091.92001
Jones, S. R.; Kopell, N.
2006
Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Zbl 1059.92008
Börgers, Christoph; Kopell, Nancy
2005
A computational tool for the reduction of nonlinear ODE systems possessing multiple scales. Zbl 1091.65127
Clewley, Robert; Rotstein, Horacio G.; Kopell, Nancy
2005
Synchrony in a population of hysteresis-based genetic oscillators. Zbl 1090.34031
Kuznetsov, Alexey; Kærn, Mads; Kopell, Nancy
2004
Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Zbl 1085.68615
Börgers, Christoph; Kopell, Nancy
2003
A canard mechanism for localization in systems of globally coupled oscillators. Zbl 1088.34030
Rotstein, Horacio G.; Kopell, Nancy; Zhabotinsky, Anatol M.; Epstein, Irving R.
2003
Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators. Zbl 1105.92320
Kopell, N.; Ermentrout, G. B.
2002
Rhythms of the nervous system: Mathematical themes and variations. Zbl 1051.92014
Kopell, Nancy
2002
Synchronization and transient dynamics in the chains of electrically coupled FitzHugh-Nagumo oscillators. Zbl 0984.34027
Medvedev, Georgi S.; Kopell, Nancy
2001
A reaction-diffusion system with periodic front dynamics. Zbl 0993.92005
Medvedev, Georgiy S.; Kaper, Tasso J.; Kopell, Nancy
2000
Almost-synchronous solutions for mutually coupled excitatory neurons. Zbl 0957.34040
Bose, Amitabha; Kopell, Nancy; Terman, David
2000
We got rhythm: Dynamical systems of the nervous system. Zbl 1016.91505
Kopell, Nancy
2000
Alpha-frequency rhythms desynchronize over long cortical distances: A modeling study. Zbl 1044.92014
Jones, Stephanie R.; Pinto, David J.; Kaper, Tasso J.; Kopell, Nancy
2000
Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. Zbl 0979.92008
LoFaro, Thomas; Kopell, Nancy
1999
Dynamics of two mutually coupled slow inhibitory neurons. Zbl 0941.34027
Terman, D.; Kopell, N.; Bose, A.
1998
Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. Zbl 0896.92010
White, John A.; Chow, Carson C.; Ritt, Jason; Soto-Treviño, Cristina; Kopell, Nancy
1998
Frequency control in synchronized networks of inhibitory neurons. Zbl 0912.92005
Chow, Carson C.; White, John A.; Ritt, Jason; Kopell, Nancy
1998
On the application of geometric singular perturbation theory to some classical two-point boundary value problems. Zbl 0935.34014
Hayes, Michael; Kaper, Tasso J.; Kopell, Nancy; Ono, Kinya
1998
Networks of neurons as dynamical systems: From geometry to biophysics. Zbl 0949.92006
Kopell, Nancy
1998
How does the crayfish swimmeret system work? Insights from nearest-neighbour coupled oscillator models. Zbl 0893.92008
Skinner, Frances K.; Kopell, Nancy; Mulloney, Brian
1997
Tracking invariant manifolds up to exponentially small errors. Zbl 0871.58072
Jones, C. K. R. T.; Kaper, Tasso J.; Kopell, Nancy
1996
Parabolic bursting revisited. Zbl 0868.92010
Soto-Treviño, C.; Kopell, N.; Watson, D.
1996
Anti-phase solutions in relaxation oscillators coupled through excitatory interactions. Zbl 0828.92005
Kopell, Nancy; Somers, David
1995
Waves and synchrony in networks of oscillators of relaxation and non-relaxation type. Zbl 0900.92021
Somers, David; Kopell, Nancy
1995
Spatial structure of the focusing singularity of the nonlinear Schrödinger equation: A geometrical analysis. Zbl 0836.34041
Kopell, Nancy; Landman, Michael
1995
Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038
Jones, C. K. R. T.; Kopell, N.
1994
Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. Zbl 0838.92002
Skinner, Frances K.; Kopell, Nancy; Marder, Eve
1994
Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024
Tin, S.-K.; Kopell, N.; Jones, C. K. R. T.
1994
Inhibition-produced patterning in chains of coupled nonlinear oscillators. Zbl 0811.92004
Ermentrout, G. B.; Kopell, N.
1994
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
1991
Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008
Jones, C.; Kopell, N.; Langer, R.
1991
On chains of oscillators forced at one end. Zbl 0748.34020
Kopell, N.; Ermentrout, G. B.; Williams, T. L.
1991
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
1990
Oscillator death in systems of coupled neural oscillators. Zbl 0686.34033
Ermentrout, G. B.; Kopell, N.
1990
Phase transitions and other phenomena in chains of coupled oscillators. Zbl 0711.34029
Kopell, N.; Ermentrout, G. B.
1990
Multiple coupling in chains of oscillators. Zbl 0703.34055
Kopell, N.; Zhang, W.; Ermentrout, G. B.
1990
Coupled oscillators and the design of central pattern generators. Zbl 0649.92009
Kopell, N.; Ermentrout, G. B.
1988
Parabolic bursting in an excitable system coupled with a slow oscillation. Zbl 0594.58033
Ermentrout, G. B.; Kopell, N.
1986
Symmetry and phaselocking in chains of weakly coupled oscillators. Zbl 0596.92011
Kopell, N.; Ermentrout, G. B.
1986
Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065
Kopell, Nancy; Ruelle, David
1986
Subcellular oscillations and bursting. Zbl 0589.92006
Kopell, N.; Ermentrout, G. B.
1986
Invariant manifolds and the initialization problem for some atmospheric equations. Zbl 0612.76052
Kopell, N.
1985
Frequency plateaus in a chain of weakly coupled oscillators. I. Zbl 0558.34033
Ermentrout, George Bard; Kopell, Nancy
1984
Frequency plateaus in a chain of weakly coupled oscillators. Zbl 0516.34044
Kopell, Nancy
1983
Chaotic motions in the two-degree-of-freedom swing equations. Zbl 0506.93029
Kopell, Nancy; Washburn, Robert B. jun.
1982
Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension. Zbl 0486.35011
Kopell, N.; Howard, L. N.
1981
Target patterns and horseshoes from a perturbed central-force problem: Some temporally periodic solutions to reaction-diffusion equations. Zbl 0479.35052
Kopell, N.; Howard, L. N.
1981
A complete analysis of a model nonlinear singular perturbation problem having a continuous locus of singular points. Zbl 0483.34044
Kopell, Nancy; Parter, Seymour V.
1981
Target pattern solutions to reaction-diffusion equations in the presence of impurities. Zbl 0486.35010
Kopell, Nancy
1981
Time periodic but spatially irregular solutions to a model reaction- diffusion equation. Zbl 0473.35011
Kopell, Nancy
1980
A geometric approach to boundary layer problems exhibiting resonance. Zbl 0417.34051
Kopell, Nancy
1979
Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070
Howard, L. N.; Kopell, N.
1977
Waves, shocks and target patterns in an oscillating chemical reagent. Zbl 0379.35059
Kopell, N. J.
1977
Bifurcations and trajectories joining critical points. Zbl 0361.34026
Kopell, N.; Howard, L. N.
1975
Bifurcations under nongeneric conditions. Zbl 0285.34025
Kopell, N.; Howard, L. N.
1974
Wave trains, shock fronts, and transition layers in reaction-diffusion equations. Zbl 0305.35055
Howard, L. N.; Kopell, N.
1974
Pattern formation in the Belousov reaction. Zbl 0323.35045
Kopell, N.; Howard, L. N.
1974
Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081
Kopell, N.; Howard, L. N.
1973
Commuting diffeomorphisms. Zbl 0225.57020
Kopell, Nancy
1970
all top 5

#### Cited by 1,658 Authors

 29 Kopell, Nancy J. 17 Rubin, Jonathan E. 16 Ermentrout, Bard G. 16 Sherratt, Jonathan A. 15 Krupa, Martin 15 Wechselberger, Martin 14 Desroches, Mathieu 13 Doelman, Arjen 11 Kaper, Tasso J. 11 Kurths, Jürgen 10 Bose, Amitabha 10 Laing, Carlo R. 10 Liu, Weishi 10 Moehlis, Jeff 10 Rotstein, Horacio G. 9 Bates, Peter W. 9 Coombes, Stephen 9 Kühn, Christian 9 Shilnikov, Andrey L. 8 Carter, Paul M. 8 Ermentrout, George Bard 8 Medvedev, Georgi S. 8 Sandstede, Björn 8 Terman, David H. 7 Ashwin, Peter 7 Bressloff, Paul C. 7 Holmes, Philip J. 7 Pikovsky, Arkady S. 7 Stewart, Ian Nicholas 7 Strogatz, Steven Henry 7 Sun, Zhongkui 7 Vo, Theodore 7 Wilson, Dan D. 7 Zhang, Mingji 7 Zou, Wei 6 Campbell, Sue Ann 6 Canavier, Carmen C. 6 Howard, Louis N. 6 Josić, Krešimir 6 Keener, James P. 6 Osinga, Hinke Maria 6 Thomas, Peter J. 6 Young, Lai-Sang 5 Bertram, Richard 5 Bramburger, Jason J. 5 Ersöz, Elif Köksal 5 Golubitsky, Martin A. 5 Hsu, Cheng-Hsiung 5 Huguet, Gemma 5 Hupkes, Hermen Jan 5 Jones, Christopher K. R. T. 5 Kanamaru, Takashi 5 Kapitula, Todd M. 5 Kevrekidis, Ioannis George 5 Kiemel, Tim 5 Kirk, Vivien 5 Petrovskii, Sergei V. 5 Rinzel, John 5 Schecter, Stephen 5 M-Seara, Tere 5 Tabak, Joël 5 Volkov, Evgenij I. 5 Wiggins, Stephen 5 Wu, Jianhong 5 Xu, Wei 4 Belykh, Igor V. 4 Börgers, Christoph 4 Butera, Robert J. jun. 4 Dana, Syamal Kumar 4 Fukai, Tomoki 4 Guckenheimer, John M. 4 Guo, Shangjiang 4 Gutkin, Boris S. 4 Haller, George 4 Hansel, David 4 Hoffman, Kathleen A. 4 Holzer, Matt 4 Konishi, Keiji 4 Lewis, Timothy J. 4 Lin, Xiaobiao 4 Lu, Kening 4 Mato, Germán 4 Mezić, Igor 4 Nadim, Farzan 4 Nijmeijer, Henk 4 Oprişan, Sorinel Adrian 4 Osipov, Grigory V. 4 Palis, Jacob jun. 4 Pérez-Cervera, Alberto 4 Popović, Nikola 4 Rodrigues, Serafim 4 Sabina, José C. 4 Sneyd, James 4 Sourdis, Christos 4 Vidal, Alexandre 4 Wang, Yangyang 4 Yang, Xiaoli 4 Zhan, Meng 3 Achuthan, Srisairam 3 Aihara, Kazuyuki ...and 1,558 more Authors
all top 5

#### Cited in 177 Serials

 121 Physica D 100 Chaos 63 Neural Computation 56 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 55 Journal of Computational Neuroscience 48 Journal of Differential Equations 45 SIAM Journal on Applied Dynamical Systems 40 Journal of Mathematical Biology 34 Biological Cybernetics 30 Communications in Nonlinear Science and Numerical Simulation 27 The Journal of Mathematical Neuroscience 22 Bulletin of Mathematical Biology 21 Journal of Nonlinear Science 20 Nonlinear Dynamics 17 Journal of Dynamics and Differential Equations 16 Journal of Mathematical Analysis and Applications 16 Transactions of the American Mathematical Society 15 Studies in Applied Mathematics 14 Chaos, Solitons and Fractals 13 Journal of Theoretical Biology 12 Mathematical Biosciences 11 SIAM Journal on Applied Mathematics 9 Advances in Applied Mathematics 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Nonlinearity 8 Annales de l’Institut Fourier 8 Applied Mathematics and Computation 8 Discrete and Continuous Dynamical Systems. Series B 7 Archive for Rational Mechanics and Analysis 7 Journal of Statistical Physics 7 Neural Networks 7 Nonlinear Analysis. Real World Applications 6 SIAM Journal on Mathematical Analysis 6 Dynamical Systems 5 Journal of Fluid Mechanics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Tohoku Mathematical Journal. Second Series 5 Applied Mathematics Letters 5 Nonlinear Analysis. Theory, Methods & Applications 4 Automatica 4 Inventiones Mathematicae 4 Proceedings of the American Mathematical Society 4 Theoretical Population Biology 4 Systems & Control Letters 4 Acta Mathematicae Applicatae Sinica. English Series 4 Dynamics and Stability of Systems 4 Applied Mathematical Modelling 4 Proceedings of the National Academy of Sciences of the United States of America 4 SIAM Review 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Modern Physics B 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Advances in Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Quarterly of Applied Mathematics 3 Applied Mathematics and Mechanics. (English Edition) 3 Mathematical and Computer Modelling 3 Discrete and Continuous Dynamical Systems 3 Qualitative Theory of Dynamical Systems 3 Advances in Complex Systems 3 Bulletin of the American Mathematical Society 3 Mathematical Modelling of Natural Phenomena 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 International Journal of Control 2 Journal of Computational Physics 2 Journal of the Franklin Institute 2 Physics Letters. A 2 Physics Reports 2 Journal of Computational and Applied Mathematics 2 Journal of Economic Theory 2 Mathematics and Computers in Simulation 2 Circuits, Systems, and Signal Processing 2 MCSS. Mathematics of Control, Signals, and Systems 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Geometry & Topology 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Regular and Chaotic Dynamics 2 Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Difference Equations 2 Mathematical Biosciences and Engineering 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Physics of Fluids, A ...and 77 more Serials
all top 5

#### Cited in 41 Fields

 546 Biology and other natural sciences (92-XX) 497 Ordinary differential equations (34-XX) 309 Dynamical systems and ergodic theory (37-XX) 254 Partial differential equations (35-XX) 70 Systems theory; control (93-XX) 52 Numerical analysis (65-XX) 50 Fluid mechanics (76-XX) 39 Mechanics of particles and systems (70-XX) 34 Probability theory and stochastic processes (60-XX) 33 Computer science (68-XX) 26 Manifolds and cell complexes (57-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Combinatorics (05-XX) 17 Optics, electromagnetic theory (78-XX) 17 Classical thermodynamics, heat transfer (80-XX) 17 Information and communication theory, circuits (94-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Operations research, mathematical programming (90-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Integral equations (45-XX) 8 Geophysics (86-XX) 5 Group theory and generalizations (20-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 4 Topological groups, Lie groups (22-XX) 4 Mechanics of deformable solids (74-XX) 3 General topology (54-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)

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