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On delayed oscillation in nonspatially uniform FitzHugh Nagumo equation

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Publication:1329266
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DOI10.1006/jdeq.1994.1058zbMath0812.35059OpenAlexW2036890846MaRDI QIDQ1329266

Jianzhong Su

Publication date: 15 May 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1058


zbMATH Keywords

FitzHugh Nagumo equationslow passage through a Hopf bifurcation pointdelayed oscillation phenomena


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Bifurcations in context of PDEs (35B32) Physiological flow (92C35)


Related Items (6)

Effects of periodic forcing on delayed bifurcations. ⋮ Slow passage through a Hopf bifurcation in excitable nerve cables: spatial delays and spatial memory effects ⋮ Local Theory for Spatio-Temporal Canards and Delayed Bifurcations ⋮ Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses ⋮ Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations ⋮ Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems






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