Survival of subthreshold oscillations: the interplay of noise, bifurcation structure, and return mechanism

DOI10.3934/dcdss.2009.2.873zbMath1362.34077OpenAlexW1969825350MaRDI QIDQ1045969

Rachel Kuske, Peter Borowski

Publication date: 21 December 2009

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2009.2.873

zbMATH Keywords

stochastic dynamicssubthreshold oscillationsmixed mode oscillationscoherence resonanceintegrate and firedelay bifurcation

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17) Resonance phenomena for ordinary differential equations involving randomness (34F15)

Related Items (2)

Shaping bursting by electrical coupling and noise ⋮ From random Poincaré maps to stochastic mixed-mode-oscillation patterns

This page was built for publication: Survival of subthreshold oscillations: the interplay of noise, bifurcation structure, and return mechanism