Dynamics of Globally Coupled Noisy Excitable Elements: The Fitzhugh-Nagumo Case

DOI10.1007/978-94-010-0179-3_9zbMath1079.34045OpenAlexW64800773MaRDI QIDQ4650477

Wouter-Jan Rappel, Juan A. Acebrón, A. R. Bulsara

Publication date: 11 February 2005

Published in: Solid Mechanics and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-94-010-0179-3_9

zbMATH Keywords

Fokker-Planck equationstochastic differential equationsresonancediscretizationsstochastic bifurcationnoisy FitzHugh-Nagumo model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Applications of stochastic analysis (to PDEs, etc.) (60H30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

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