Coherence resonance in neural networks: Theory and experiments

AN Pisarchik, AE Hramov - Physics Reports, 2023 - Elsevier
The paper is devoted to the review of the coherence resonance phenomenon in excitable
neural networks. In particular, we explain how coherence can be measured and how noise …

Stochastic generation and shifts of phantom attractors in the 2D Rulkov model

I Bashkirtseva, L Ryashko - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, a new stochastic phenomenon of the noise-induced shift of random states of
the stochastically forced system into the domain of the phase plane where the original …

How noise can generate calcium spike-type oscillations in deterministic equilibrium modes

I Bashkirtseva, L Ryashko - Physical Review E, 2022 - APS
Stochastic excitability of spiking oscillatory regimes in the calcium kinetics is studied on the
basis of the Li-Rinzel conceptual model. The probabilistic mechanisms of the noise-induced …

Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model

E Slepukhina, P Kügler, I Bashkirtseva… - International Journal of …, 2023 - World Scientific
We study the three-dimensional Morris–Lecar–Terman neuron model in the parametric
region of tonic spiking oscillations close to the bifurcation of the torus birth. It is shown that in …

Stochastic bifurcations and excitement in the ZS-model of a thermochemical reaction

L Ryashko, I Bashkirtseva - Mathematics, 2022 - mdpi.com
The Zeldovich–Semenov model of the continuous stirred tank reactor with parametric
random disturbances in temperature is considered. We study a phenomenon of noise …

Phantom Attractors in a Single-Degree-of-Freedom Smooth System Under Additive Stochastic Excitation

S Chen, Z Wu - International Journal of Bifurcation and Chaos, 2024 - World Scientific
Phantom attractors in nonlinear systems under additive stochastic excitation have been
recently discovered. This paper uncovers the existence of phantom attractors in a single …

Abnormal Probability Distribution in a Single-Degree-of-Freedom Smooth System with Velocity-Dependent Stiffness

S Chen, Z Wu - International Journal of Bifurcation and Chaos, 2024 - World Scientific
In general, dynamic systems of higher dimensions or with more complex nonlinearities
exhibit more intricate behaviors. Conversely, it is worthwhile to discuss whether a complex …

Phantom Attractors in a Single-Degree-Of-Freedom Smooth System with Velocity-Dependent Stiffness

S Chen, Z Wu - Available at SSRN 4691487 - papers.ssrn.com
The Phantom attractor has garnered signi cant attention in recent years. It refers to the noise-
induced shifting of random states, into the phase plane where the original de terministic …