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 …
neural networks. In particular, we explain how coherence can be measured and how noise …
Effects of noise in excitable systems
We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …
noise. We focus mainly on those general properties of such systems that are due to noise …
Stochastic theory of nonequilibrium steady states and its applications. Part I
XJ Zhang, H Qian, M Qian - Physics Reports, 2012 - Elsevier
The concepts of equilibrium and nonequilibrium steady states are introduced in the present
review as mathematical concepts associated with stationary Markov processes. For both …
review as mathematical concepts associated with stationary Markov processes. For both …
Dynamics of electric activities in neuron and neurons of network induced by autapses
HX Qin, J Ma, WY Jin, CN Wang - Science China Technological Sciences, 2014 - Springer
The effect of autapse on adjusting the membrane of potentials of neuron is described by
imposing a time-delayed feedback on the membrane of neuron in a close loop type, and the …
imposing a time-delayed feedback on the membrane of neuron in a close loop type, and the …
Spontaneous spiking in an autaptic Hodgkin-Huxley setup
The effect of intrinsic channel noise is investigated for the dynamic response of a neuronal
cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon …
cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon …
The nonlinear mechanisms underlying the various stochastic dynamics evoked from different bursting patterns in a neuronal model
H Hua, H Gu, Y Jia, B Lu - … in Nonlinear Science and Numerical Simulation, 2022 - Elsevier
The stochastic dynamics such as coherence resonance (CR) and anti-CR show that noise
plays constructive roles in the nervous system, which are always evoked from the resting …
plays constructive roles in the nervous system, which are always evoked from the resting …
Control of coherence resonance in multiplex neural networks
We study the dynamics of two neuronal populations weakly and mutually coupled in a
multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh …
multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh …
Coherence resonance in neuronal populations: Mean-field versus network model
The counterintuitive phenomenon of coherence resonance describes a nonmonotonic
behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an …
behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an …
Analysis of excitability for the FitzHugh-Nagumo model via a stochastic sensitivity function technique
I Bashkirtseva, L Ryashko - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We study excitability phenomena for the stochastically forced FitzHugh-Nagumo system
modeling a neural activity. Noise-induced changes in the dynamics of this model can be …
modeling a neural activity. Noise-induced changes in the dynamics of this model can be …
Noise-induced oscillating bistability and transition to chaos in Fitzhugh–Nagumo model
I Bashkirtseva, L Ryashko… - Fluctuation and noise …, 2014 - World Scientific
Stochastic dynamics of the FitzHugh–Nagumo (FHN) neuron model in the limit cycles zone
is studied. For weak noise, random trajectories are concentrated in the small neighborhood …
is studied. For weak noise, random trajectories are concentrated in the small neighborhood …