# zbMATH — the first resource for mathematics

## Cowan, Jack D.

Compute Distance To:
 Author ID: cowan.jack-d Published as: Cowan, Jack D.; Cowan, J. D.; Cowan, Jack; Cowan, J.
 Documents Indexed: 31 Publications since 1963, including 7 Books Biographic References: 1 Publication
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#### Co-Authors

 8 single-authored 5 Bressloff, Paul C. 4 Ermentrout, George Bard 4 Thomas, Peter J. 3 Neuman, Jeremy F. 3 Van Drongelen, Wim 2 Feldman, J. L. 2 Golubitsky, Martin A. 2 Kiewiet, Bert 2 Winograd, Shmuel 1 Buice, Michael A. 1 Chow, Carson C. 1 Chu, Po Hsiang 1 Domany, Eytan 1 Eissa, Tahra L. 1 Emerson, Ronald G. 1 Goodman, Robert R. 1 Marcuccilli, Charles J. 1 McKhann, Guy M. 1 Meijer, Hil G. E. 1 Milton, John G. 1 Schevon, Catherine A. 1 Tryba, Andrew K. 1 van Gils, Stephan A. 1 van Hemmen, J. Leo 1 Wiener, Matthew C. 1 Wilson, Hugh R.
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#### Serials

 3 Biological Cybernetics 3 Neural Computation 3 Lectures on Mathematics in the Life Sciences 2 Journal of Mathematical Biology 2 SIAM Journal on Applied Mathematics 2 The Journal of Mathematical Neuroscience 1 Nonlinearity 1 Physica D 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Mathematical Medicine and Biology 1 Journal of Statistical Mechanics: Theory and Experiment 1 Kybernetik
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#### Fields

 24 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 3 Integral equations (45-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 561 times in 376 Documents Cited by Year
A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Zbl 0281.92003
Wilson, H. R.; Cowan, J. D.
1973
A mathematical theory of visual hallucination patterns. Zbl 0409.92008
Ermentrout, G. B.; Cowan, J. D.
1979
Large scale spatially organized activity in neural nets. Zbl 0448.92008
Ermentrout, G. B.; Cowan, J. D.
1980
Temporal oscillations in neuronal nets. Zbl 0402.92012
Ermentrout, G. B.; Cowan, J. D.
1979
Systematic fluctuation expansion for neural network activity equations. Zbl 1183.92013
Buice, Michael A.; Cowan, Jack D.; Chow, Carson C.
2010
What geometric visual hallucinations tell us about the visual cortex. Zbl 1037.91083
Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Wiener, Matthew C.
2002
Secondary bifurcation in neuronal nets. Zbl 0453.92007
Ermentrout, G. B.; Cowan, J. D.
1980
Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Zbl 1017.37025
Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.
2001
Large-scale activity in neural nets. I: Theory with application to motoneuron pool responses. Zbl 0291.92015
Feldman, J. L.; Cowan, J. D.
1975
An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005
Bressloff, Paul C.; Cowan, Jack D.
2002
The visual cortex as a crystal. Zbl 1017.92009
Bressloff, Paul C.; Cowan, Jack D.
2002
Reliable computation in the presence of noise. Zbl 0203.16403
Winograd, S.; Cowan, J. D.
1963
A statistical mechanics of nervous activity. Zbl 0224.92031
Cowan, Jack D.
1970
Connectivity and the dynamics of integrate-and-fire neural networks. Zbl 0875.92004
Chu, Po Hsiang; Milton, John G.; Cowan, Jack D.
1994
Simultaneous constraints on pre- and post-synaptic cells couple cortical feature maps in a 2D geometric model of orientation preference. Zbl 1111.92011
Thomas, Peter J.; Cowan, Jack D.
2006
Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016
Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim
2016
Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013
Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim
2015
Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309
Bressloff, Paul C.; Cowan, Jack D.
2003
Large-scale activity in neural nets. II: A model for the brainstem respiratory oscillator. Zbl 0291.92016
Feldman, J. L.; Cowan, J. D.
1975
Generalized SPIN models for coupled cortical feature maps obtained by coarse graining correlation based synaptic learning rules. Zbl 1311.92036
Thomas, Peter J.; Cowan, Jack D.
2012
Mathematical models of large-scale nervous activity. Zbl 0345.92002
Cowan, J. D.
1974
Some mathematical questions in biology. II. Proceedings of the fourth symposium on mathematical biology held in Boston, December, 1969. Zbl 0245.92001
Cowan, Jack D. (ed.)
1972
Some mathematical questions in biology. V. Proceedings of the 7-th symposium on mathematical biology held in Mexico City, June 1973. Zbl 0294.00011
Cowan, Jack D. (ed.)
1974
Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016
Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim
2016
Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013
Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim
2015
Generalized SPIN models for coupled cortical feature maps obtained by coarse graining correlation based synaptic learning rules. Zbl 1311.92036
Thomas, Peter J.; Cowan, Jack D.
2012
Systematic fluctuation expansion for neural network activity equations. Zbl 1183.92013
Buice, Michael A.; Cowan, Jack D.; Chow, Carson C.
2010
Simultaneous constraints on pre- and post-synaptic cells couple cortical feature maps in a 2D geometric model of orientation preference. Zbl 1111.92011
Thomas, Peter J.; Cowan, Jack D.
2006
Spontaneous pattern formation in primary visual cortex. Zbl 1132.92309
Bressloff, Paul C.; Cowan, Jack D.
2003
What geometric visual hallucinations tell us about the visual cortex. Zbl 1037.91083
Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Wiener, Matthew C.
2002
An amplitude equation approach to contextual effects in visual cortex. Zbl 0987.92005
Bressloff, Paul C.; Cowan, Jack D.
2002
The visual cortex as a crystal. Zbl 1017.92009
Bressloff, Paul C.; Cowan, Jack D.
2002
Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Zbl 1017.37025
Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.
2001
Connectivity and the dynamics of integrate-and-fire neural networks. Zbl 0875.92004
Chu, Po Hsiang; Milton, John G.; Cowan, Jack D.
1994
Large scale spatially organized activity in neural nets. Zbl 0448.92008
Ermentrout, G. B.; Cowan, J. D.
1980
Secondary bifurcation in neuronal nets. Zbl 0453.92007
Ermentrout, G. B.; Cowan, J. D.
1980
A mathematical theory of visual hallucination patterns. Zbl 0409.92008
Ermentrout, G. B.; Cowan, J. D.
1979
Temporal oscillations in neuronal nets. Zbl 0402.92012
Ermentrout, G. B.; Cowan, J. D.
1979
Large-scale activity in neural nets. I: Theory with application to motoneuron pool responses. Zbl 0291.92015
Feldman, J. L.; Cowan, J. D.
1975
Large-scale activity in neural nets. II: A model for the brainstem respiratory oscillator. Zbl 0291.92016
Feldman, J. L.; Cowan, J. D.
1975
Mathematical models of large-scale nervous activity. Zbl 0345.92002
Cowan, J. D.
1974
Some mathematical questions in biology. V. Proceedings of the 7-th symposium on mathematical biology held in Mexico City, June 1973. Zbl 0294.00011
Cowan, Jack D.
1974
A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Zbl 0281.92003
Wilson, H. R.; Cowan, J. D.
1973
Some mathematical questions in biology. II. Proceedings of the fourth symposium on mathematical biology held in Boston, December, 1969. Zbl 0245.92001
Cowan, Jack D.
1972
A statistical mechanics of nervous activity. Zbl 0224.92031
Cowan, Jack D.
1970
Reliable computation in the presence of noise. Zbl 0203.16403
Winograd, S.; Cowan, J. D.
1963
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#### Cited by 566 Authors

 22 Robinson, Peter A. 19 Bressloff, Paul C. 13 Cowan, Jack D. 10 Coombes, Stephen 9 Faye, Grégory 9 Wyller, John A. 8 Hutt, Axel 7 Sarti, Alessandro 7 Thomas, Peter J. 7 Touboul, Jonathan David 7 Wright, James J. 6 Chossat, Pascal 6 Citti, Giovanna 6 Kilpatrick, Zachary P. 6 van Gils, Stephan A. 5 beim Graben, Peter 5 Einevoll, Gaute T. 5 Ermentrout, George Bard 5 Jirsa, Viktor K. 5 Laing, Carlo R. 4 Amari, Shun-ichi 4 Kuznetsov, Yuri Alexandrovich 4 Oleynik, Anna 4 Potthast, Roland W. E. 4 Rangan, Aaditya V. 4 Rennie, Christopher J. 4 Rougier, Nicolas P. 4 Stewart, Ian Nicholas 3 Beek, Peter J. 3 Beuter, Anne 3 Carroll, Samuel R. 3 Chow, Carson C. 3 Feldman, J. L. 3 Frank, Till Daniel 3 Golubitsky, Martin A. 3 Haken, Hermann 3 Kerr, Cliff C. 3 Kydd, R. R. 3 Liley, David T. J. 3 Loxley, P. N. 3 Oguztöreli, Mehmet Namik 3 Ponosov, Arcady V. 3 Rinzel, John 3 Taylor, John Gerald 3 Van Drongelen, Wim 3 van Hemmen, J. Leo 3 Volpert, Vitaly A. 3 Wennekers, Thomas 3 Zhang, Linghai 2 Aihara, Kazuyuki 2 Atay, Fatihcan M. 2 Avitabile, Daniele 2 Babaie Janvier, T. 2 Baccelli, François Louis 2 Balossier, Anne 2 Barbieri, Davide Francesco 2 Barreiro, Andrea K. 2 Becker, Suzanna 2 Blomquist, Patrick 2 Bojak, Ingo 2 Boscain, Ugo 2 Botelho, Fernanda 2 Buice, Michael A. 2 Cabana, Tanguy 2 Canel, Annemarie 2 Carroll, Sam R. 2 Chevallier, Julien 2 Ching, Shinung 2 Chua, Leon Ong 2 Clearwater, J. M. 2 Cocci, Giacomo 2 Conrad, Michael 2 Daffertshofer, Andreas 2 Dahlem, Markus A. 2 Dijkstra, Koen 2 Drysdale, P. M. 2 Duits, Remco 2 Edelstein-Keshet, Leah 2 Érdi, Péter 2 Ermentrout, Bard G. 2 Fall, Christopher P. 2 Favali, Marta 2 Ferdousi, Mariya 2 Friel, Robert 2 Gomes, M. Gabriela M. 2 González-Ramírez, Laura Rocio 2 Gupta, Madan M. 2 Han, Xiaoying 2 Hart Murdock, Julie Angela 2 Huerta, Ramón 2 Jamison, James Edward 2 Janssens, Sebastiaan G. 2 Jin, Dequan 2 Josić, Krešimir 2 Kawahara, Takuji 2 Kloeden, Peter Eris 2 Kramer, Mark A. 2 Lai, Yi Ming 2 Lang, Eva 2 Leen, Todd K. ...and 466 more Authors
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#### Cited in 72 Serials

 65 Biological Cybernetics 39 Physica D 36 Neural Computation 25 The Journal of Mathematical Neuroscience 22 Journal of Computational Neuroscience 17 Journal of Mathematical Biology 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Journal of Theoretical Biology 13 Bulletin of Mathematical Biology 9 Neural Networks 7 Journal of Mathematical Imaging and Vision 6 Mathematical Biosciences 6 Chaos, Solitons and Fractals 6 SIAM Journal on Applied Dynamical Systems 5 Journal of Statistical Physics 4 SIAM Journal on Applied Mathematics 4 Chaos 3 Transactions of the American Mathematical Society 3 Journal of Nonlinear Science 2 Physics Reports 2 Journal of Mathematical Psychology 2 Acta Applicandae Mathematicae 2 Mathematical and Computer Modelling 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Stochastic Processes and their Applications 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Physics A: Mathematical and Theoretical 1 Advances in Applied Probability 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 International Journal of General Systems 1 Journal of Applied Mathematics and Mechanics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Automatica 1 International Journal of Computer & Information Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Kybernetes 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Turkish Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Journal of Statistical Mechanics: Theory and Experiment 1 New Mathematics and Natural Computation 1 Bulletin of the American Mathematical Society 1 SIAM Journal on Imaging Sciences 1 São Paulo Journal of Mathematical Sciences 1 Kybernetik 1 Forum of Mathematics, Sigma 1 Fractional Differential Calculus 1 ISRN Biomathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Cited in 38 Fields

 320 Biology and other natural sciences (92-XX) 55 Partial differential equations (35-XX) 49 Dynamical systems and ergodic theory (37-XX) 45 Integral equations (45-XX) 40 Ordinary differential equations (34-XX) 39 Probability theory and stochastic processes (60-XX) 33 Computer science (68-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Numerical analysis (65-XX) 18 Information and communication theory, circuits (94-XX) 15 Systems theory; control (93-XX) 13 Statistical mechanics, structure of matter (82-XX) 7 Operator theory (47-XX) 7 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)