Spectral comparison and gradient-like property in the FitzHugh–Nagumo type equations

DOI10.1088/0951-7715/28/4/1003zbMath1342.35139OpenAlexW2080020704MaRDI QIDQ5247157

Shuichi Jimbo, Chao-Nien Chen, Yoshihisa Morita

Publication date: 23 April 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/4/1003

zbMATH Keywords

Morse indexLyapunov methodlinearized stabilitymin-max principleFitzHugh-Nagumo type systemspectral comparison

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Variational methods for elliptic systems (35J50) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Nonlocal eigenvalue problems arising in a generalized phase-field-type system ⋮ Stability and spectral comparison of a reaction-diffusion system with mass conservation ⋮ Multiple front standing waves in the FitzHugh-Nagumo equations ⋮ Synchronization control for reaction-diffusion Fitzhugh-Nagumo systems with spatial sampled-data

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