Moment stability of viscoelastic system influenced by non-Gaussian colored noise

2021 ◽  
Vol 502 ◽  
pp. 116080
Author(s):  
Wu Jiancheng ◽  
Liu Xianbin
Keyword(s):  
Colored Noise ◽  
Viscoelastic System ◽  
Gaussian Colored Noise ◽  
Non Gaussian ◽  
Moment Stability

Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback

2020 ◽  
Vol 29 (5) ◽  
pp. 050501 ◽  
Author(s):  
Ting-Ting Shi ◽  
Xue-Mei Xu ◽  
Ke-Hui Sun ◽  
Yi-Peng Ding ◽  
Guo-Wei Huang
Keyword(s):  
Stochastic Resonance ◽  
Colored Noise ◽  
Delayed Feedback ◽  
Gaussian Colored Noise ◽  
Non Gaussian ◽  
Time Delayed Feedback

Population system with coupling between non-Gaussian and Gaussian colored noise under Allee effect

2018 ◽  
Vol 32 (24) ◽  
pp. 1850279 ◽  
Author(s):  
Yachao Yang ◽  
Dongxi Li
Keyword(s):  
Allee Effect ◽  
Colored Noise ◽  
First Passage Time ◽  
Planck Equation ◽  
Single Species ◽  
Passage Time ◽  
Population System ◽  
Stationary Probability Distribution ◽  
Gaussian Colored Noise ◽  
Non Gaussian

We investigate a stochastic model for single species population growth with strong and weak Allee effects subjected to coupling between non-Gaussian and Gaussian colored noise as well as nonzero cross-correlation in between. Stationary probability distribution of population model is obtained depending on the Fokker–Planck equation. The mean first-passage time is also calculated in order to quantify the time of transition between survival state and extinction state with Allee effect in population. The intensity of non-Gaussian colored noise can induce phase transition, and population may be vulnerable to extinction due to the increase in the intensity of non-Gaussian colored noise. Whether Allee effect is strong or weak, the increase in Allee threshold will not contribute to the survival and stability of the population. Further, the phenomenon of resonant activation is firstly discovered in the study of population dynamics with Allee effect. These behaviors can be interpreted on the basis of a biological model of population evolution.

NON-GAUSSIAN NOISE-INDUCED FIRING TRANSITIONS AND ORDERED BURSTING IN A THERMO-SENSITIVE NEURON

2010 ◽  
Vol 09 (03) ◽  
pp. 289-299 ◽  
Author(s):  
YUBING GONG ◽  
XIU LIN ◽  
YINGHANG HAO ◽  
YANHANG XIE ◽  
XIAOGUANG MA
Keyword(s):  
Information Processing ◽  
Gaussian Noise ◽  
Correlation Time ◽  
Colored Noise ◽  
Firing Activity ◽  
Firing Behavior ◽  
Gaussian Colored Noise ◽  
Non Gaussian

In this letter, we investigate how a particular kind of non-Gaussian colored noise (NGN), especially the correlation time τ and the departure q from Gaussian noise, affects the chaotic firing behavior in a thermo-sensitive neuron. It is found that transitions between spiking and bursting occur with changing τ or q, and ordered bursting appears when τ is optimal. As τ is increased, the neuron alternately exhibits spiking and bursting when q < 1, but always bursts when q > 1, and chaotic bursts may become ordered at an optimal τ. As q is increased, the neuron also exhibits transitions between spiking and bursting. These findings provide a new mechanism for the firing transitions in the neuron and present the constructive role of the NGN in the firing activity in the neuron. This reveals that the NGN would play subtle roles in the communication and information processing in the neurons.

Sign in / Sign up

Export Citation Format

Share Document