CNN model for studying dynamics and travelling wave solutions of FitzHugh-Nagumo equation

DOI10.1016/S0377-0427(02)00734-3zbMath1049.92005MaRDI QIDQ1861312

Angela Slavova, Pietro Zecca

Publication date: 16 March 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

travelling wavescellular neural networksharmonic balance methodzero-flux boundary conditionsPDEsdescribing function

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (8)

Complex behavior of polynomial FitzHugh-Nagumo cellular neural network model ⋮ Rotating wave solutions of the FitzHugh-Nagumo equations ⋮ Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes ⋮ Two reliable wavelet methods to Fitzhugh-Nagumo (FN) and fractional FN equations ⋮ Analytical and Simulation Results for the Stochastic Spatial Fitzhugh-Nagumo Model Neuron ⋮ A generalized FitzHugh-Nagumo equation ⋮ Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering ⋮ Tension spline method for solution of Fitzhugh-Nagumo equation

Cites Work

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• A theoretical justification of the method of harmonic balance for systems with discontinuities
• Applications of some mathematical methods in the analysis of cellular neural networks
• Cellular neural networks: theory
• Error Bounds for General Describing Function Problems
• A frequency approach for analyzing and controlling chaos in nonlinear circuits
• Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation

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