When Shil'nikov Meets Hopf in Excitable Systems

DOI10.1137/070682654zbMath1170.34025OpenAlexW2169487971MaRDI QIDQ3624429

Vivien Kirk, James Sneyd, Bart E. Oldeman, Edgar Knoblauch, Alan R. Champneys

Publication date: 30 April 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070682654

zbMATH Keywords

Hopf bifurcationtraveling wavesexcitable mediaFitzHugh-Nagumo equationcalcium dynamicshomoclinics

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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