The phenomenon of tristable stochastic resonance driven by $$\alpha $$ α -noise

Liu, Yulei; Liang, Jun; Jiao, Shangbin; Xiao, Nan; Zhang, Zhenhao

doi:10.1007/s12043-017-1471-3

Cited by 8 publications

(1 citation statement)

References 31 publications

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“…The influence of noise and stochastic force on dynamic system has attracted extensive attention of scholars. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] In recent years, stochastic resonance (SR), mean first-passage time (MFPT) and escape problems induced by noise have been a hot research topic in many fields. For example, Muratov et al 2 studied that the disappearance of small random disturbance of fast excitability variable may produce self-induced SR without periodic force driving, and compared the self-induced SR and coherent resonance to emphasize the difference between them.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behavior of periodic potential system driven by cross‐correlated non‐Gaussian noise and Gaussian white noise

Guo

Lou

Dong

et al. 2021

Intl J Robust & Nonlinear

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The dynamic behavior of the periodic potential system driven by the cross-correlated non-Gaussian noise and Gaussian white noise is studied in this article. According to path integral method and unified color noise approximation, the periodic potential system is transformed into a stochastic equivalent Stratonovich stochastic differential equation. Then the Fokker-Planck equation and the expression of the steady-state probability density are derived.The fourth-order Runge-Kutta algorithm is used to calculate the 5 × 10 4 times response of the system. Meanwhile, the probability density function (PDF) of the first-passage time (FPT) is simulated, and the mean first-passage time (MFPT) is obtained by averaging these values. Finally, the influence of noise parameters on MFPT and PDF of FPT is analyzed.

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