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

被引:2
|
作者
Wang, Can-Jun [1 ,2 ]
Mei, Dong-Cheng [2 ]
机构
[1] Baoji Univ Arts & Sci, Nonlinear Res Inst, Baoji 721007, Peoples R China
[2] Yunnan Univ, Dept Phys, Kunming 650091, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2008年 / 22卷 / 27期
基金
中国国家自然科学基金;
关键词
Non-Gaussian noise; delay time; mean first passage time; bistable system;
D O I
10.1142/S0217984908017205
中图分类号
O59 [应用物理学];
学科分类号
摘要
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 tau, the non-extensive index q and the color noise correlation time tau(0). That is, q can induce the MFPT from a complex behavior to a simple monotonous behavior with tau increasing (i.e. from two extrema to no extremum). But with the q increasing, the MFPT has a extremum, which is more large as tau increases.
引用
收藏
页码:2677 / 2687
页数:11
相关论文
共 50 条
  • [41] MEAN FIRST-PASSAGE TIME FOR NON-MARKOVIAN PROCESSES DRIVEN BY CONTINUOUS NOISE
    YANG, M
    WU, DJ
    CAO, L
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1995, 23 (02) : 167 - 174
  • [42] Stochastic Resonance in a Bistable System with Time-Delayed Feedback Loops
    LI Dong-Xi XU Wei WANG Liang XU Yong Department of Applied Mathematics
    Communications in Theoretical Physics, 2008, 50 (08) : 396 - 402
  • [43] On two diffusion neuronal models with multiplicative noise: The mean first-passage time properties
    D'Onofrio, G.
    Lansky, P.
    Pirozzi, E.
    CHAOS, 2018, 28 (04)
  • [44] First-passage failure of strongly non-linear oscillators with time-delayed feedback control under combined harmonic and wide-band noise excitations
    Feng, C. S.
    Wu, Y. J.
    Zhu, W. Q.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (03) : 269 - 275
  • [45] Fault detection and diagnosis for the non-Gaussian time-delayed stochastic distribution control system
    Yao, Lina
    Peng, Bo
    PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 2988 - 2993
  • [46] Effect of time-delayed feedback in a bistable system inferred by logic operation
    Gui, Rong
    Li, Jiaxin
    Yao, Yuangen
    Cheng, Guanghui
    CHAOS SOLITONS & FRACTALS, 2021, 148
  • [47] Associated relaxation time for an optical bistable system with coupling between non-gaussian and gaussian noise terms
    Wang, Bing
    Wu, Xiuqing
    Advances in Intelligent Systems and Computing, 2013, 212 : 567 - 572
  • [48] Stochastic resonance in a time-delayed bistable system driven by trichotomous noise
    Bingchang Zhou
    Dandan Lin
    Indian Journal of Physics, 2017, 91 : 299 - 307
  • [49] Stochastic resonance in a time-delayed bistable system driven by trichotomous noise
    Zhou, B.
    Lin, D.
    INDIAN JOURNAL OF PHYSICS, 2017, 91 (03) : 299 - 307
  • [50] Estimating a Gaussian Random Walk First-Passage Time from Noisy or Delayed Observations
    Burnashev, Marat
    Tchamkerten, Aslan
    2011 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2011, : 1594 - 1597