Stochastic Bifurcations and Noise-Induced Chaos in 3D Neuron Model

DOI10.1142/S0218127416300329zbMath1352.34086MaRDI QIDQ2953746

L. B. Ryashko, E. S. Slepukhina, Sergei P. Fedotov, Irina Bashkirtseva

Publication date: 6 January 2017

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

zbMATH Keywords

excitabilityHindmarsh-Rose modelstochastic sensitivitystochastic bifurcationsnoise-induced transitionsnoise-induced chaotizationstochastic generation of bursting oscillations

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) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

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