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Nonexistence of periodic solutions for the FitzHugh nerve system

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Publication:3982381
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DOI10.1090/qam/1121685zbMath0736.34043OpenAlexW2516462612MaRDI QIDQ3982381

Jitsuro Sugie

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1090/qam/1121685


zbMATH Keywords

periodic solutionsLiénard systemsbiological modelFitzHugh equationsquid giant axon membrane


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)


Related Items (6)

Attraction basin of the equilibrium configuration in the FitzHugh-Nagumo model ⋮ On the dynamical behaviour of FitzHugh-Nagumo systems: revisited ⋮ The snapback repellers for chaos in multi-dimensional maps ⋮ Coherent neural oscillations induced by weak synaptic noise ⋮ The number of limit cycles of the FitzHugh nerve system ⋮ Chaos behavior in the discrete Fitzhugh nerve system




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