FitzHugh-Nagumo system: boundedness and convergence to equilibrium

DOI10.1016/0022-0396(82)90004-3zbMath0511.35049OpenAlexW2023907414MaRDI QIDQ1838634

Orlando Lopes

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90004-3

zbMATH Keywords

global asymptotic stabilityanalytic semigroupunbounded regionsFitzHugh Nagumo equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Groups and semigroups of linear operators (47D03) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

Strong convergence rate in averaging principle for stochastic FitzHugh-Nagumo system with two time-scales

Cites Work

• Geometric theory of semilinear parabolic equations
• Qualitative theory of the Fitz Hugh-Nagumo equations
• An application of the invariance principle to reaction diffusion equations
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