Mean first-passage time of second-order and under-damped asymmetric bistable model

Yong-Feng Guo; Bei Xi; Ya-Jun Shen; Jian-Guo Tan

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Mean first-passage time of second-order and under-damped asymmetric bistable model

机译：二阶欠阻尼非对称双稳态模型的平均一次通过时间

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摘要

This paper investigates the mean first-passage time (MFPT) of second-order and under-damped asymmetric bistable model. The second-order asymmetric bistable model with Gauss white noise is stochastically equivalent to two-dimensional Markovian process. The expression of the stationary probability distribution is obtained and the explicit expression of the MFPT of the system is derived under the adiabatic and weak noise conditions. Numerical results show that the damping parameter γ and noise intensity D play opposite roles in the state transition, and the influence of the asymmetry constant on MFPT T_+ and T__ is entirely different.

机译：本文研究了二阶欠阻尼非对称双稳态模型的平均首次通过时间（MFPT）。具有高斯白噪声的二阶非对称双稳态模型在随机性上等效于二维马尔可夫过程。得到了稳态概率分布的表达式，并在绝热和弱噪声条件下得出了系统MFPT的显式表达式。数值结果表明，阻尼参数γ和噪声强度D在状态转换中起相反的作用，并且不对称常数对MFPT T_ +和T__的影响完全不同。

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来源
《Applied Mathematical Modelling》 |2016年第22期|9445-9453|共9页
作者
Yong-Feng Guo; Bei Xi; Ya-Jun Shen; Jian-Guo Tan;
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作者单位

School of Science, Tianjin Polytechnic University, Tianjin 300387, PR China;

School of Science, Tianjin Polytechnic University, Tianjin 300387, PR China;

School of Science, Tianjin Polytechnic University, Tianjin 300387, PR China;

School of Science, Tianjin Polytechnic University, Tianjin 300387, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Mean first-passage time; Second-order; Asymmetric bistable model; Under-damped; Noise;

机译：平均首次通过时间;二阶非对称双稳态模型;阻尼不足;噪声;

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1. Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise [J] . Zhang Xiao-Yan, Xu Wei Chinese physics . 2007,第4期

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2. Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise [J] . Zhang Xiao-Yan, Xu Wei 中国物理：英文版 . 2007,第004期

机译：颜色相关噪声驱动的非对称双稳态系统的平均首次通过时间
3. Mean First-Passage Time in a Bistable Kinetic Model with Stochastic Potentials [J] . Bao-quan Ai, Hua Zheng, Xue-rong Zhang, International Journal of Theoretical Physics . 2006,第11期

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4. Discuss about fast response performance of under-damped second-order system in time domain [C] . Yuan-sheng WANG, Gui-ying LU, Juan YU, International Conference on Advances in Materials and Manufacturing . 2013

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5. On the construction and estimation of asymmetric GARCH models, and the minimum volume sets for time series. [D] . Di, Jianing. 2008

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6. Bistability Probability Transition Rate and First-Passage Time in an Autoactivating Positive-Feedback Loop [O] . Xiu-Deng Zheng, Xiao-Qian Yang, Yi Tao 2011

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7. Bistability driven by Gaussian colored noise: First-passage times [O] . Masoliver, Jaume, 1951-, West, B. J., Lindenberg, Katja 1987

机译：高斯色噪声驱动的双稳态：首次通过时间

Mean first-passage time of second-order and under-damped asymmetric bistable model

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