Nonlinear equations of reaction-diffusion type for neural populations
DOI10.1007/BF00336881zbMath0561.92006OpenAlexW1991700195MaRDI QIDQ2266677
Tokuji Nogawa, Katsuyuki Katayama, Takuji Kawahara
Publication date: 1983
Published in: Biological Cybernetics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00336881
FitzHugh-Nagumo equations\textit{H. R. Wilson} and \textit{J. D. Cowan} integrodifferential modelcoupled nonlinear equations of reaction-diffusion typeEEG phenomenaspatially interacting excitatory and inhibitory neural populations
Integro-ordinary differential equations (45J05) Stability in context of PDEs (35B35) Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32) Theoretical approximation of solutions to integral equations (45L05) Physiological, cellular and medical topics (92Cxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Coupled van der Pol oscillators. A model of excitatory and inhibitory neural interactions
- Large-scale activity in neural nets. I: Theory with application to motoneuron pool responses
- The brain wave equation: A model for the EEG
- Generation of the nervous impulse and periodic oscillations
- Performance of a model for a local neuron population
- Temporal oscillations in neuronal nets
- Nagumo's equation
- Large Scale Spatially Organized Activity in Neural Nets
- Secondary Bifurcation in Neuronal Nets
- Stability of Limit Cycle Solutions of Reaction-Diffusion Equations
- Plane Wave Solutions to Reaction-Diffusion Equations
- Secondary Bifurcation in Nonlinear Diffusion Reaction Equations
- Activators and Inhibitors in Pattern Formation
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
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