Attraction basin of the equilibrium configuration in the FitzHugh-Nagumo model

DOI10.1007/s10440-012-9744-9zbMath1269.34052OpenAlexW2082959767MaRDI QIDQ1928105

Chiara Lelli

Publication date: 2 January 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9744-9

zbMATH Keywords

limit cyclesFitzHugh-Nagumo systemspike solutionsbounded orbits

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Non-existence of periodic solutions of the Liénard system
• Nonlinear differential equations and dynamical systems
• Mathematical physiology
• On Existence and Nonexistence of Limit Cycles for FitzHugh-Nagumo Class Models
• Propagation Phenomena in a Bistable Reaction-Diffusion System
• Nonexistence of periodic solutions for the FitzHugh nerve system
• FITZHUGH–NAGUMO REVISITED: TYPES OF BIFURCATIONS, PERIODICAL FORCING AND STABILITY REGIONS BY A LYAPUNOV FUNCTIONAL
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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