Hopf Bifurcation in an Oscillatory-Excitable Reaction–Diffusion Model with Spatial Heterogeneity

DOI10.1142/S0218127417500651zbMath1367.35028arXiv1608.03967MaRDI QIDQ4976133

B. Ambrosio

Publication date: 27 July 2017

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

Full work available at URL: https://arxiv.org/abs/1608.03967

zbMATH Keywords

Hopf bifurcationreaction-diffusionFitzHugh-Nagumocenter-manifold theorem

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Inertial manifolds (35B42)

Related Items

Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type

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