The study on a stochastic system with non-Gaussian noise and Gaussian colored noise

2009 ◽  
Vol 388 (6) ◽  
pp. 781-788 ◽  
Author(s):  
Huiqing Zhang ◽  
Wei Xu ◽  
Yong Xu
Keyword(s):  
Gaussian Noise ◽  
Stochastic System ◽  
Colored Noise ◽  
Gaussian Colored Noise ◽  
Non Gaussian

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.

scholarly journals The transport phenomenon of inertia Brownian particles in a periodic potential with non-Gaussian noise

2019 ◽  
Vol 33 (02) ◽  
pp. 1950004 ◽  
Author(s):  
Bing Wang ◽  
Xiaoxiao Zhang ◽  
Yajuan Sun ◽  
Zhongwei Qu ◽  
Xuechao Li
Keyword(s):  
Transport Phenomenon ◽  
Gaussian Noise ◽  
Average Velocity ◽  
Colored Noise ◽  
Periodic Potential ◽  
Brownian Particles ◽  
Directional Movement ◽  
Gaussian Colored Noise ◽  
Non Gaussian ◽  
And Diffusion

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement (or diffusion), but large Q will inhibit this phenomenon. For large value of Q, the average velocity [Formula: see text] (or the diffusion coefficient D) has a maximum with increasing correlation time [Formula: see text]. But for small value of Q, [Formula: see text] (or D) decreases with increasing [Formula: see text]. In some cases, for the same value of Q and the same value of [Formula: see text], non-Gaussian noise can induce particles directional movement (or diffusion), but Gaussian colored noise cannot.

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
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