Periodic Solutions of a Periodic FitzHugh–Nagumo System

DOI10.1142/S0218127415501801zbMath1330.34070MaRDI QIDQ5744111

Jaume Llibre, Claudio Vidal

Publication date: 17 February 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

periodic orbitaveraging theoryFitzHugh-Nagumo system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural biology (92C20) Averaging method for ordinary differential equations (34C29) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Turing instability induced by random network in FitzHugh-Nagumo model ⋮ On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves ⋮ Periodic solutions of \textit{El Niño} model through the Vallis differential system ⋮ Analytical Properties and Solutions of the FitzHugh – Rinzel Model ⋮ On Integrability of the FitzHugh – Rinzel Model

Cites Work

• Nonlinear differential equations and dynamical systems
• FITZHUGH–NAGUMO REVISITED: TYPES OF BIFURCATIONS, PERIODICAL FORCING AND STABILITY REGIONS BY A LYAPUNOV FUNCTIONAL

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