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The effects of Gaussian and Lévy noises on the transient properties of asymmetric tri-stable system

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Abstract

In this paper, the transient properties of asymmetric tri-stable systems excited by multiplicative Gaussian white noise and additive Lévy noise is investigated from two aspects: the mean first passage time (MFPT) and the probability distribution function (PDF) of first passage time (FPT). The Lévy noise sequence is generated by Janicki-Weron algorithm. And the solutions of the system are obtained by means of the fourth-order Runge–Kutta algorithm, then record the particle’s FPT. Finally, the effects of the system parameters and noise parameters on the MFPT and PDF of FPT are explored, respectively. In addition, the resonant activation effect is found in the system.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 11672207).

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Authors and Affiliations

  1. School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China

    Qian-Ru Liu, Yong-Feng Guo & Meng Zhang

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  1. Qian-Ru Liu
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  2. Yong-Feng Guo
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  3. Meng Zhang
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Correspondence to Yong-Feng Guo.

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Liu, QR., Guo, YF. & Zhang, M. The effects of Gaussian and Lévy noises on the transient properties of asymmetric tri-stable system. Indian J Phys 97, 2261–2271 (2023). https://doi.org/10.1007/s12648-022-02580-0

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  • DOI: https://doi.org/10.1007/s12648-022-02580-0

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