Stochastic Generation and Deformation of Toroidal Oscillations in Neuron Model

DOI10.1142/S0218127418500700zbMath1394.34089OpenAlexW2808754659MaRDI QIDQ4576020

L. B. Ryashko, E. S. Slepukhina, Irina Bashkirtseva

Publication date: 12 July 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500700

zbMATH Keywords

Hindmarsh-Rose modelstochastic sensitivitystochastic bifurcationscomplex nonlinear dynamicsnoise-induced chaotizationnoise-induced bursting

Mathematics Subject Classification ID

Neural biology (92C20) 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) Invariant manifolds for ordinary differential equations (34C45) Multifrequency systems of ordinary differential equations (34C46)

Related Items (7)

Stochastic spiking-bursting transitions in a neural birhythmic 3D model with the Lukyanov-Shilnikov bifurcation ⋮ Noise-induced early afterdepolarizations in a three-dimensional cardiac action potential model ⋮ How noise transforms spiking into bursting in a neuron model having the Lukyanov-Shilnikov bifurcation ⋮ Noise-induced toroidal excitability in neuron model ⋮ Stochastic Bifurcations, Chaos and Phantom Attractors in the Langford System with Tori ⋮ Analysis of stochastic sensitivity of Turing patterns in distributed reaction-diffusion systems ⋮ Stochastic Sensitivity and Method of Principal Directions in Excitability Analysis of the Hodgkin–Huxley Model

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