Edit Profile (opens in new tab) Kopell, Nancy J. Co-Author Distance Author ID: kopell.nancy-j Published as: Kopell, Nancy; Kopell, N.; Kopell, Nancy J.; Kopell, N. J. more...less External Links: Women in Mathematics · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 86 Publications since 1970, including 1 Additional arXiv Preprint 2 Further Contributions Biographic References: 1 Publication Co-Authors: 56 Co-Authors with 70 Joint Publications 811 Co-Co-Authors all top 5 Co-Authors 18 single-authored 15 Ermentrout, George Bard 9 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 2 Bose, Amitabha 2 Chow, Carson C. 2 Guckenheimer, John M. 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 Hillel 2 Wechselberger, Martin 1 Abbott, Larry F. 1 Arbib, Michael A. 1 Aronson, Donald G. 1 Cannon, Jonathan 1 Chernoff, Paul R. 1 Childs, Gary 1 Chow, Shui-Nee 1 Clewley, Robert 1 Cowan, Jack D. 1 Cunningham, Mark O. 1 Epstein, Irving R. 1 Gelastopoulos, Alexandros 1 Hayes, Michael G. 1 Kærn, Mads 1 Kauffman, Stuart Alan 1 Kramer, Mark A. 1 Kuznetsov, Alexey S. 1 Landman, Michael J. 1 Lanford, Oscar E. III 1 Langer, R. 1 Levin, Simon Asher 1 Li, Jie 1 Lofaro, Thomas 1 Malerba, Paola 1 Mallet-Paret, John Joseph 1 Marder, Eve 1 Marsden, Jerrold Eldon 1 McCracken, Marjorie F. 1 Mitry, John 1 Mulloney, Brian 1 Netoff, Theoden Ivan 1 Ono, Kinya 1 Oster, George 1 Parter, Seymour V. 1 Pervouchine, Dmitri D. 1 Pinto, David J. 1 Rinzel, John 1 Ruelle, David Pierre 1 Ruiz, O. 1 Schecter, Stephen 1 Schmidt, Dieter S. 1 Segel, Lee Aaron 1 Serenevy, Amanda Katharine 1 Sivan, Ehud 1 Smale, Stephen 1 Stolzenberg, Gabriel 1 Tin, Siu-Kei 1 Traub, Roger D. 1 Vierling-Claassen, Dorea 1 Vo, Theodore 1 Washburn, Robert B. jun. 1 Whittington, Miles A. 1 Winfree, Arthur Taylor 1 Zeeman, Erik Christopher 1 Zhabotinsky, Anatol M. 1 Zhang, W. 1 Zhou, Yujia all top 5 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 1 Applied Mathematical Sciences 1 MAA Studies in Mathematics all top 5 Fields 54 Biology and other natural sciences (92-XX) 44 Ordinary differential equations (34-XX) 29 Dynamical systems and ergodic theory (37-XX) 18 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 2,124 times in 1,519 Documents Cited by ▼ Year ▼ The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007 Marsden, J. E.; McCracken, M. 654 1976 Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081 Kopell, N.; Howard, L. N. 143 1973 Amplitude response of coupled oscillators. Zbl 0703.34047 Aronson, D. G.; Ermentrout, G. B.; Kopell, N. 138 1990 Parabolic bursting in an excitable system coupled with a slow oscillation. Zbl 0594.58033 Ermentrout, G. B.; Kopell, N. 134 1986 Frequency plateaus in a chain of weakly coupled oscillators. I. Zbl 0558.34033 Ermentrout, George Bard; Kopell, Nancy 102 1984 Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038 Jones, C. K. R. T.; Kopell, N. 99 1994 Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004 Ermentrout, G. B.; Kopell, N. 95 1991 Commuting diffeomorphisms. Zbl 0225.57020 Kopell, Nancy 76 1970 Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346 Krupa, Martin; Popović, Nikola; Kopell, Nancy 73 2008 Oscillator death in systems of coupled neural oscillators. Zbl 0686.34033 Ermentrout, G. B.; Kopell, N. 70 1990 Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Zbl 1085.68615 Börgers, Christoph; Kopell, Nancy 65 2003 Symmetry and phaselocking in chains of weakly coupled oscillators. Zbl 0596.92011 Kopell, N.; Ermentrout, G. B. 63 1986 Dynamics of two mutually coupled slow inhibitory neurons. Zbl 0941.34027 Terman, D.; Kopell, N.; Bose, A. 59 1998 Tracking invariant manifolds up to exponentially small errors. Zbl 0871.58072 Jones, C. K. R. T.; Kaper, Tasso J.; Kopell, Nancy 58 1996 Coupled oscillators and the design of central pattern generators. Zbl 0649.92009 Kopell, N.; Ermentrout, G. B. 55 1988 Bifurcations and trajectories joining critical points. Zbl 0361.34026 Kopell, N.; Howard, L. N. 52 1975 Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070 Howard, L. N.; Kopell, N. 49 1977 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. 47 2008 Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. Zbl 0838.92002 Skinner, Frances K.; Kopell, Nancy; Marder, Eve 43 1994 Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension. Zbl 0486.35011 Kopell, N.; Howard, L. N. 41 1981 Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008 Jones, C.; Kopell, N.; Langer, R. 39 1991 Phase transitions and other phenomena in chains of coupled oscillators. Zbl 0711.34029 Kopell, N.; Ermentrout, G. B. 35 1990 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 35 1998 Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024 Tin, S.-K.; Kopell, N.; Jones, C. K. R. T. 35 1994 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 33 2008 Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators. Zbl 1105.92320 Kopell, N.; Ermentrout, G. B. 30 2002 Anti-phase solutions in relaxation oscillators coupled through excitatory interactions. Zbl 0828.92005 Kopell, Nancy; Somers, David 27 1995 Synchrony in a population of hysteresis-based genetic oscillators. Zbl 1090.34031 Kuznetsov, Alexey; Kærn, Mads; Kopell, Nancy 27 2004 On chains of oscillators forced at one end. Zbl 0748.34020 Kopell, N.; Ermentrout, G. B.; Williams, T. L. 24 1991 Waves and synchrony in networks of oscillators of relaxation and non-relaxation type. Zbl 0900.92021 Somers, David; Kopell, Nancy 23 1995 Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046 Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin 23 2013 Synchronization and transient dynamics in the chains of electrically coupled FitzHugh-Nagumo oscillators. Zbl 0984.34027 Medvedev, Georgi S.; Kopell, Nancy 22 2001 Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Zbl 1059.92008 Börgers, Christoph; Kopell, Nancy 22 2005 Spatial structure of the focusing singularity of the nonlinear Schrödinger equation: A geometrical analysis. Zbl 0836.34041 Kopell, Nancy; Landman, Michael 22 1995 Chaotic motions in the two-degree-of-freedom swing equations. Zbl 0506.93029 Kopell, Nancy; Washburn, Robert B. jun. 19 1982 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. 17 1981 Inhibition-produced patterning in chains of coupled nonlinear oscillators. Zbl 0811.92004 Ermentrout, G. B.; Kopell, N. 16 1994 A geometric approach to boundary layer problems exhibiting resonance. Zbl 0417.34051 Kopell, Nancy 14 1979 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. 13 2003 Frequency control in synchronized networks of inhibitory neurons. Zbl 0912.92005 Chow, Carson C.; White, John A.; Ritt, Jason; Kopell, Nancy 13 1998 Gamma oscillations and stimulus selection. Zbl 1131.92010 Börgers, Christoph; Kopell, Nancy J. 13 2008 Invariant manifolds and the initialization problem for some atmospheric equations. Zbl 0612.76052 Kopell, N. 12 1985 Multiple coupling in chains of oscillators. Zbl 0703.34055 Kopell, N.; Zhang, W.; Ermentrout, G. B. 12 1990 Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065 Kopell, Nancy; Ruelle, David 10 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. 10 2006 Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. Zbl 0979.92008 LoFaro, Thomas; Kopell, Nancy 9 1999 A reaction-diffusion system with periodic front dynamics. Zbl 0993.92005 Medvedev, Georgiy S.; Kaper, Tasso J.; Kopell, Nancy 9 2000 Almost-synchronous solutions for mutually coupled excitatory neurons. Zbl 0957.34040 Bose, Amitabha; Kopell, Nancy; Terman, David 8 2000 A computational tool for the reduction of nonlinear ODE systems possessing multiple scales. Zbl 1091.65127 Clewley, Robert; Rotstein, Horacio G.; Kopell, Nancy 8 2005 Subcellular oscillations and bursting. Zbl 0589.92006 Kopell, N.; Ermentrout, G. B. 7 1986 Parabolic bursting revisited. Zbl 0868.92010 Soto-Treviño, C.; Kopell, N.; Watson, D. 7 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 6 1997 Target pattern solutions to reaction-diffusion equations in the presence of impurities. Zbl 0486.35010 Kopell, Nancy 6 1981 Bifurcations under nongeneric conditions. Zbl 0285.34025 Kopell, N.; Howard, L. N. 5 1974 Wave trains, shock fronts, and transition layers in reaction-diffusion equations. Zbl 0305.35055 Howard, L. N.; Kopell, N. 5 1974 Pattern formation in the Belousov reaction. Zbl 0323.35045 Kopell, N.; Howard, L. N. 5 1974 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 5 1998 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. 4 1981 Waves, shocks and target patterns in an oscillating chemical reagent. Zbl 0379.35059 Kopell, N. J. 4 1977 Studies in mathematical biology. Part I: Cellular behavior and the development of pattern. Zbl 0387.92001 4 1978 The dynamics of a periodically forced cortical microcircuit, with an application to schizophrenia. Zbl 1194.92016 Vierling-Claassen, Dorea; Kopell, Nancy 4 2009 We got rhythm: Dynamical systems of the nervous system. Zbl 1016.91505 Kopell, Nancy 4 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 3 2000 The leaky oscillator: properties of inhibition-based rhythms revealed through the singular phase response curve. Zbl 1371.92034 Cannon, Jonathan; Kopell, Nancy 2 2015 Frequency plateaus in a chain of weakly coupled oscillators. Zbl 0516.34044 Kopell, Nancy 2 1983 The singularly perturbed turning-point problem: A geometric approach. Zbl 0536.34036 Kopell, Nancy 2 1980 Effects of heterogeneous periodic forcing on inhibitory networks. Zbl 1284.34082 Serenevy, A. K.; Kopell, N. J. 2 2013 Local network parameters can affect inter-network phase lags in central pattern generators. Zbl 1091.92001 Jones, S. R.; Kopell, N. 2 2006 Commuting diffeomorphisms of the circle. Zbl 0257.57016 Kopell, Nancy 1 1970 The effect of propofol anesthesia on rebound spiking. Zbl 1263.37085 McCarthy, Michelle M.; Kopell, Nancy 1 2012 Time periodic but spatially irregular solutions to a model reaction- diffusion equation. Zbl 0473.35011 Kopell, Nancy 1 1980 On the behavior of a neural oscillator electrically coupled to a bistable element. Zbl 0939.92008 Kopell, Nancy; Abbott, L. F.; Soto-Treviño, Cristina 1 1998 Rhythms of the nervous system: Mathematical themes and variations. Zbl 1051.92014 Kopell, Nancy 1 2002 Networks of neurons as dynamical systems: From geometry to biophysics. Zbl 0949.92006 Kopell, Nancy 1 1998 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 1 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 1 2018 The leaky oscillator: properties of inhibition-based rhythms revealed through the singular phase response curve. Zbl 1371.92034 Cannon, Jonathan; Kopell, Nancy 2 2015 Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046 Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin 23 2013 Effects of heterogeneous periodic forcing on inhibitory networks. Zbl 1284.34082 Serenevy, A. K.; Kopell, N. J. 2 2013 The effect of propofol anesthesia on rebound spiking. Zbl 1263.37085 McCarthy, Michelle M.; Kopell, Nancy 1 2012 The dynamics of a periodically forced cortical microcircuit, with an application to schizophrenia. Zbl 1194.92016 Vierling-Claassen, Dorea; Kopell, Nancy 4 2009 Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346 Krupa, Martin; Popović, Nikola; Kopell, Nancy 73 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. 47 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 33 2008 Gamma oscillations and stimulus selection. Zbl 1131.92010 Börgers, Christoph; Kopell, Nancy J. 13 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. 10 2006 Local network parameters can affect inter-network phase lags in central pattern generators. Zbl 1091.92001 Jones, S. R.; Kopell, N. 2 2006 Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Zbl 1059.92008 Börgers, Christoph; Kopell, Nancy 22 2005 A computational tool for the reduction of nonlinear ODE systems possessing multiple scales. Zbl 1091.65127 Clewley, Robert; Rotstein, Horacio G.; Kopell, Nancy 8 2005 Synchrony in a population of hysteresis-based genetic oscillators. Zbl 1090.34031 Kuznetsov, Alexey; Kærn, Mads; Kopell, Nancy 27 2004 Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Zbl 1085.68615 Börgers, Christoph; Kopell, Nancy 65 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. 13 2003 Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators. Zbl 1105.92320 Kopell, N.; Ermentrout, G. B. 30 2002 Rhythms of the nervous system: Mathematical themes and variations. Zbl 1051.92014 Kopell, Nancy 1 2002 Synchronization and transient dynamics in the chains of electrically coupled FitzHugh-Nagumo oscillators. Zbl 0984.34027 Medvedev, Georgi S.; Kopell, Nancy 22 2001 A reaction-diffusion system with periodic front dynamics. Zbl 0993.92005 Medvedev, Georgiy S.; Kaper, Tasso J.; Kopell, Nancy 9 2000 Almost-synchronous solutions for mutually coupled excitatory neurons. Zbl 0957.34040 Bose, Amitabha; Kopell, Nancy; Terman, David 8 2000 We got rhythm: Dynamical systems of the nervous system. Zbl 1016.91505 Kopell, Nancy 4 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 3 2000 Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. Zbl 0979.92008 LoFaro, Thomas; Kopell, Nancy 9 1999 Dynamics of two mutually coupled slow inhibitory neurons. Zbl 0941.34027 Terman, D.; Kopell, N.; Bose, A. 59 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 35 1998 Frequency control in synchronized networks of inhibitory neurons. Zbl 0912.92005 Chow, Carson C.; White, John A.; Ritt, Jason; Kopell, Nancy 13 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 5 1998 On the behavior of a neural oscillator electrically coupled to a bistable element. Zbl 0939.92008 Kopell, Nancy; Abbott, L. F.; Soto-Treviño, Cristina 1 1998 Networks of neurons as dynamical systems: From geometry to biophysics. Zbl 0949.92006 Kopell, Nancy 1 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 6 1997 Tracking invariant manifolds up to exponentially small errors. Zbl 0871.58072 Jones, C. K. R. T.; Kaper, Tasso J.; Kopell, Nancy 58 1996 Parabolic bursting revisited. Zbl 0868.92010 Soto-Treviño, C.; Kopell, N.; Watson, D. 7 1996 Anti-phase solutions in relaxation oscillators coupled through excitatory interactions. Zbl 0828.92005 Kopell, Nancy; Somers, David 27 1995 Waves and synchrony in networks of oscillators of relaxation and non-relaxation type. Zbl 0900.92021 Somers, David; Kopell, Nancy 23 1995 Spatial structure of the focusing singularity of the nonlinear Schrödinger equation: A geometrical analysis. Zbl 0836.34041 Kopell, Nancy; Landman, Michael 22 1995 Tracking invariant manifolds with differential forms in singularly perturbed systems. Zbl 0796.34038 Jones, C. K. R. T.; Kopell, N. 99 1994 Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. Zbl 0838.92002 Skinner, Frances K.; Kopell, Nancy; Marder, Eve 43 1994 Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024 Tin, S.-K.; Kopell, N.; Jones, C. K. R. T. 35 1994 Inhibition-produced patterning in chains of coupled nonlinear oscillators. Zbl 0811.92004 Ermentrout, G. B.; Kopell, N. 16 1994 Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004 Ermentrout, G. B.; Kopell, N. 95 1991 Construction of the Fitzhugh-Nagumo pulse using differential forms. Zbl 0742.92008 Jones, C.; Kopell, N.; Langer, R. 39 1991 On chains of oscillators forced at one end. Zbl 0748.34020 Kopell, N.; Ermentrout, G. B.; Williams, T. L. 24 1991 Amplitude response of coupled oscillators. Zbl 0703.34047 Aronson, D. G.; Ermentrout, G. B.; Kopell, N. 138 1990 Oscillator death in systems of coupled neural oscillators. Zbl 0686.34033 Ermentrout, G. B.; Kopell, N. 70 1990 Phase transitions and other phenomena in chains of coupled oscillators. Zbl 0711.34029 Kopell, N.; Ermentrout, G. B. 35 1990 Multiple coupling in chains of oscillators. Zbl 0703.34055 Kopell, N.; Zhang, W.; Ermentrout, G. B. 12 1990 Coupled oscillators and the design of central pattern generators. Zbl 0649.92009 Kopell, N.; Ermentrout, G. B. 55 1988 Parabolic bursting in an excitable system coupled with a slow oscillation. Zbl 0594.58033 Ermentrout, G. B.; Kopell, N. 134 1986 Symmetry and phaselocking in chains of weakly coupled oscillators. Zbl 0596.92011 Kopell, N.; Ermentrout, G. B. 63 1986 Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065 Kopell, Nancy; Ruelle, David 10 1986 Subcellular oscillations and bursting. Zbl 0589.92006 Kopell, N.; Ermentrout, G. B. 7 1986 Invariant manifolds and the initialization problem for some atmospheric equations. Zbl 0612.76052 Kopell, N. 12 1985 Frequency plateaus in a chain of weakly coupled oscillators. I. Zbl 0558.34033 Ermentrout, George Bard; Kopell, Nancy 102 1984 Frequency plateaus in a chain of weakly coupled oscillators. Zbl 0516.34044 Kopell, Nancy 2 1983 Chaotic motions in the two-degree-of-freedom swing equations. Zbl 0506.93029 Kopell, Nancy; Washburn, Robert B. jun. 19 1982 Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension. Zbl 0486.35011 Kopell, N.; Howard, L. N. 41 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. 17 1981 Target pattern solutions to reaction-diffusion equations in the presence of impurities. Zbl 0486.35010 Kopell, Nancy 6 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. 4 1981 The singularly perturbed turning-point problem: A geometric approach. Zbl 0536.34036 Kopell, Nancy 2 1980 Time periodic but spatially irregular solutions to a model reaction- diffusion equation. Zbl 0473.35011 Kopell, Nancy 1 1980 A geometric approach to boundary layer problems exhibiting resonance. Zbl 0417.34051 Kopell, Nancy 14 1979 Studies in mathematical biology. Part I: Cellular behavior and the development of pattern. Zbl 0387.92001 4 1978 Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070 Howard, L. N.; Kopell, N. 49 1977 Waves, shocks and target patterns in an oscillating chemical reagent. Zbl 0379.35059 Kopell, N. J. 4 1977 The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007 Marsden, J. E.; McCracken, M. 654 1976 Bifurcations and trajectories joining critical points. Zbl 0361.34026 Kopell, N.; Howard, L. N. 52 1975 Bifurcations under nongeneric conditions. Zbl 0285.34025 Kopell, N.; Howard, L. N. 5 1974 Wave trains, shock fronts, and transition layers in reaction-diffusion equations. Zbl 0305.35055 Howard, L. N.; Kopell, N. 5 1974 Pattern formation in the Belousov reaction. Zbl 0323.35045 Kopell, N.; Howard, L. N. 5 1974 Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081 Kopell, N.; Howard, L. N. 143 1973 Commuting diffeomorphisms. Zbl 0225.57020 Kopell, Nancy 76 1970 Commuting diffeomorphisms of the circle. Zbl 0257.57016 Kopell, Nancy 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 2,179 Authors 30 Kopell, Nancy J. 22 Rubin, Jonathan E. 20 Sherratt, Jonathan A. 19 Ermentrout, George Bard 19 Kurths, Jürgen 18 Ermentrout, Bard G. 18 Kühn, Christian 16 Desroches, Mathieu 16 Wechselberger, Martin 14 Doelman, Arjen 14 Kaper, Tasso J. 14 Krupa, Martin 13 Inaba, Naohiko 13 Laing, Carlo R. 13 Rotstein, Horacio G. 12 Bose, Amitabha 12 Sun, Zhongkui 11 Campbell, Sue Ann 11 Liu, Weishi 11 Wilson, Dan D. 11 Zou, Wei 10 Coombes, Stephen 10 Medvedev, Georgi S. 10 Moehlis, Jeff 10 Shilnikov, Andrey L. 10 Vo, Theodore 9 Ashwin, Peter 9 Bates, Peter W. 9 Bressloff, Paul C. 9 Carter, Paul M. 9 Popović, Nikola 9 Sandstede, Björn 9 Strogatz, Steven Henry 9 Terman, David Hillel 9 Zhang, Mingji 8 Jones, Christopher K. R. T. 8 Pikovsky, Arkady S. 8 Stewart, Ian Nicholas 8 Zhao, Nannan 7 Belykh, Igor V. 7 Bi, Qinsheng 7 Bramburger, Jason J. 7 Epstein, Irving R. 7 Holmes, Philip J. 7 Hupkes, Hermen Jan 7 Keener, James P. 7 Kuznetsov, Aleksandr Petrovich 7 Osipov, Grigory V. 7 Varandas, Paulo 7 Young, Lai-Sang 6 Canavier, Carmen C. 6 Ersöz, Elif Köksal 6 Howard, Louis N. 6 Huguet, Gemma 6 Josić, Krešimir 6 Kevrekidis, Ioannis George 6 Kirk, Vivien 6 Konishi, Keiji 6 Lewis, Timothy J. 6 Okazaki, Hideaki 6 Osinga, Hinke Maria 6 Park, Youngmin 6 Prasad, Awadhesh 6 Shrimali, Manish Dev 6 Thomas, Peter J. 6 Vidal, Alexandre 6 Xu, Wei 6 Zhan, Meng 5 Belykh, Vladimir Nikolaevich 5 Bertram, Richard 5 Börgers, Christoph 5 Chen, Guanrong 5 Chow, Shui-Nee 5 Dana, Syamal Kumar 5 De Maesschalck, Peter 5 Fernández-García, Soledad 5 Golubitsky, Martin A. 5 Haller, George 5 Hasler, Martin J. 5 Hsu, Cheng-Hsiung 5 Iuorio, Annalisa 5 Kanamaru, Takashi 5 Kapitula, Todd M. 5 Kazantzis, Nikolaos K. 5 Kiemel, Tim 5 Kuramoto, Yoshiki 5 Liu, Weiqing 5 Petrovskii, Sergei V. 5 Rinzel, John 5 Schecter, Stephen 5 M-Seara, Tere 5 Sekikawa, Munehisa 5 Sneyd, James 5 Szmolyan, Peter 5 Tabak, Joël 5 Teruel, Antonio E. 5 Tsubone, Tadashi 5 Turukina, Ludmila V. 5 Volkov, Evgenij I. 5 Wang, Yangyang ...and 2,079 more Authors all top 5 Cited in 215 Serials 177 Physica D 137 Chaos 67 SIAM Journal on Applied Dynamical Systems 64 Neural Computation 62 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 61 Journal of Computational Neuroscience 55 Journal of Differential Equations 52 Communications in Nonlinear Science and Numerical Simulation 45 Journal of Mathematical Biology 37 Biological Cybernetics 28 Physics Letters. A 28 The Journal of Mathematical Neuroscience 27 Journal of Nonlinear Science 26 Bulletin of Mathematical Biology 26 Chaos, Solitons and Fractals 21 Nonlinear Dynamics 20 Journal of Mathematical Analysis and Applications 19 Journal of Dynamics and Differential Equations 19 Journal of Theoretical Biology 16 Studies in Applied Mathematics 16 Transactions of the American Mathematical Society 15 Mathematical Biosciences 13 Nonlinearity 12 SIAM Journal on Applied Mathematics 11 Discrete and Continuous Dynamical Systems. Series B 10 Applied Mathematics and Computation 9 Advances in Applied Mathematics 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Nonlinear Analysis. Real World Applications 8 Archive for Rational Mechanics and Analysis 8 Journal of Statistical Physics 8 Physica A 8 Annales de l’Institut Fourier 8 Discrete and Continuous Dynamical Systems. Series S 7 Journal of Fluid Mechanics 7 Mathematical Methods in the Applied Sciences 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Neural Networks 7 Applied Mathematical Modelling 7 SIAM Journal on Mathematical Analysis 6 Physics Reports 6 Automatica 6 Applied Mathematics Letters 6 SIAM Review 6 Dynamical Systems 5 Journal of Mathematical Physics 5 Inventiones Mathematicae 5 Mathematics and Computers in Simulation 5 Proceedings of the American Mathematical Society 5 Tôhoku Mathematical Journal. Second Series 5 Qualitative Theory of Dynamical Systems 5 Nonlinear Analysis. Theory, Methods & Applications 4 International Journal of Modern Physics B 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Mathematische Zeitschrift 4 Quarterly of Applied Mathematics 4 Theoretical Population Biology 4 Systems & Control Letters 4 Acta Mathematicae Applicatae Sinica. English Series 4 Dynamics and Stability of Systems 4 Proceedings of the National Academy of Sciences of the United States of America 4 Discrete and Continuous Dynamical Systems 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Mathematical Modelling of Natural Phenomena 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Communications on Pure and Applied Mathematics 3 Journal of Computational Physics 3 Advances in Mathematics 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Topology and its Applications 3 Ergodic Theory and Dynamical Systems 3 Applied Mathematics and Mechanics. (English Edition) 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Mathematical and Computer Modelling 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Mathematical Sciences (New York) 3 Regular and Chaotic Dynamics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Complex Systems 3 Advances in Difference Equations 3 Journal of Statistical Mechanics: Theory and Experiment 3 Mathematical Biosciences and Engineering 3 Bulletin of the American Mathematical Society 3 Electronic Research Archive 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 International Journal of Control 2 Israel Journal of Mathematics 2 Journal of Engineering Mathematics 2 Journal of the Franklin Institute 2 Journal of Economic Theory 2 Memoirs of the American Mathematical Society 2 Circuits, Systems, and Signal Processing 2 Revista Matemática Iberoamericana 2 Japan Journal of Industrial and Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 115 more Serials all top 5 Cited in 44 Fields 678 Biology and other natural sciences (92-XX) 674 Ordinary differential equations (34-XX) 414 Dynamical systems and ergodic theory (37-XX) 329 Partial differential equations (35-XX) 85 Systems theory; control (93-XX) 68 Numerical analysis (65-XX) 62 Mechanics of particles and systems (70-XX) 61 Fluid mechanics (76-XX) 51 Probability theory and stochastic processes (60-XX) 41 Computer science (68-XX) 38 Statistical mechanics, structure of matter (82-XX) 37 Manifolds and cell complexes (57-XX) 29 Optics, electromagnetic theory (78-XX) 28 Information and communication theory, circuits (94-XX) 27 Combinatorics (05-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Classical thermodynamics, heat transfer (80-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Operations research, mathematical programming (90-XX) 10 Group theory and generalizations (20-XX) 10 Integral equations (45-XX) 10 Differential geometry (53-XX) 9 Geophysics (86-XX) 8 Difference and functional equations (39-XX) 8 Quantum theory (81-XX) 7 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 6 Topological groups, Lie groups (22-XX) 5 Statistics (62-XX) 4 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.