scholarly journals Effects of cross correlated noises on the mean first-passage time of optical bistable system

2009 ◽  
Vol 58 (8) ◽  
pp. 5191
Author(s):  
Wang Bing ◽  
Yan Shao-Ping ◽  
Wu Xiu-Qing
Keyword(s):  
First Passage Time ◽  
Passage Time ◽  
Bistable System ◽  
Mean First Passage Time ◽  
First Passage ◽  
The Mean ◽  
Correlated Noises

scholarly journals Mean first-passage time of a tumor cell growth system with time delay and colored cross-correlated noises excitation

2017 ◽  
Vol 37 (2) ◽  
pp. 191-198 ◽  
Author(s):  
Shenghong Li ◽  
Yong Huang
Keyword(s):  
Time Delay ◽  
Noise Intensity ◽  
First Passage Time ◽  
Passage Time ◽  
Mean First Passage Time ◽  
Tumor Cell Growth ◽  
First Passage ◽  
Growth System ◽  
The Mean ◽  
Correlated Noises

In this paper, the mean first-passage time of a delayed tumor cell growth system driven by colored cross-correlated noises is investigated. Based on the Novikov theorem and the method of probability density approximation, the stationary probability density function is obtained. Then applying the fastest descent method, the analytical expression of the mean first-passage time is derived. Finally, effects of different kinds of delays and noise parameters on the mean first-passage time are discussed thoroughly. The results show that the time delay included in the random force, additive noise intensity and multiplicative noise intensity play a positive role in the disappearance of tumor cells. However, the time delay included in the determined force and the correlation time lead to the increase of tumor cells.

The mean first passage time of a three-level atomic optical bistable system subjected to noise

2013 ◽  
Vol 22 (6) ◽  
pp. 060503 ◽  
Author(s):  
Yong-Gang Wei ◽  
Chun-Hua Zeng ◽  
Hua Wang ◽  
Kong-Zhai Li ◽  
Jian-Hang Hu
Keyword(s):  
First Passage Time ◽  
Passage Time ◽  
Bistable System ◽  
Mean First Passage Time ◽  
First Passage ◽  
The Mean

First-passage behavior of under-damped asymmetric bistable system driven by Lévy noise

2020 ◽  
Vol 34 (31) ◽  
pp. 2050348
Author(s):  
Xiuxian Yu ◽  
Yongfeng Guo ◽  
Xiaojuan Lou ◽  
Qiang Dong
Keyword(s):  
First Passage Time ◽  
Passage Time ◽  
Bistable System ◽  
Lévy Noise ◽  
Mean First Passage Time ◽  
First Passage ◽  
System Parameters ◽  
Text Response ◽  
The Mean ◽  
Levy Noise

In this paper, the first-passage behavior of under-damped asymmetric bistable system driven by Lévy noise is studied. The two aspects considered are the mean first-passage time (MFPT) and the distribution of first-passage time in two opposite directions. To begin with, using the Janicki–Weron algorithm to generate Lévy noise, the system driven by Lévy noise is simulated through the fourth-order Runge–Kutta algorithm. Then the first-passage time of [Formula: see text] response tracks is calculated, and the MFPT and the distribution of first-passage time are obtained. Finally, the influence of Lévy noise and system parameters on MFPT and the distribution of first-passage time are analyzed. Moreover, the noise enhanced stability (NES) effect is found.

TRANSIENT PROPERTIES OF A BISTABLE KINETIC SYSTEM WITH TIME-DELAYED FEEDBACK AND NON-GAUSSIAN NOISE: MEAN FIRST-PASSAGE TIME

2008 ◽  
Vol 22 (27) ◽  
pp. 2677-2687 ◽  
Author(s):  
CAN-JUN WANG ◽  
DONG-CHENG MEI
Keyword(s):  
Gaussian Noise ◽  
First Passage Time ◽  
Passage Time ◽  
Delayed Feedback ◽  
Bistable System ◽  
Mean First Passage Time ◽  
First Passage ◽  
The Mean ◽  
Non Gaussian ◽  
Time Delayed Feedback

The transient properties of a bistable system with time-delayed feedback and non-Gaussian noise are investigated. The explicit expressions of the mean first-passage time (MFPT) are obtained. The numerical computations show that the MFPT of the system is affected by the delay time τ, the non-extensive index q and the color noise correlation time τ0. That is, q can induce the MFPT from a complex behavior to a simple monotonous behavior with τ increasing (i.e. from two extrema to no extremum). But with the q increasing, the MFPT has a extremum, which is more large as τ increases.

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