Analysis of Noise-Induced Chaos-Order Transitions in Rulkov Model Near Crisis Bifurcations

DOI10.1142/S0218127417300142zbMath1360.37142MaRDI QIDQ2985986

L. B. Ryashko, Irina Bashkirtseva

Publication date: 11 May 2017

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

zbMATH Keywords

bifurcationsstochastic sensitivityRulkov modelnoise-induced transitionscrisis bifurcationnoise-induced ordering

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Generation, random and stochastic difference and differential equations (37H10) Dynamical systems involving maps of the interval (37E05) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (9)

Multistability and stochastic dynamics of Rulkov neurons coupled via a chemical synapse ⋮ Control of sampling rate in map-based models of spiking neurons ⋮ Analysis of noise effects in a map-based neuron model with Canard-type quasiperiodic oscillations ⋮ Controlling the bursting size in the two-dimensional Rulkov model ⋮ Stochastic transitions between in-phase and anti-phase synchronization in coupled map-based neural oscillators ⋮ Nonlinear climate dynamics: from deterministic behaviour to stochastic excitability and chaos ⋮ Noise-induced bursting and chaos in the two-dimensional Rulkov model ⋮ Analysis of a map-based neuronal model ⋮ Noise-induced complex dynamics and synchronization in the map-based Chialvo neuron model

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