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Acta Physica Sinica, Volume. 69, Issue 12, 120501-1(2020)

Residence-times distribution function in asymmetric bistable system driven by noise recycling

Ya-Zhen Wu1,2 and Zhong-Kui Sun2、*
Author Affiliations
  • 1School of Mathematics and Information Technology, Yuncheng University, Yuncheng 044000, China
  • 2Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
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    Figures & Tables(6)
    Variation of residence-times distribution function (RTDF) with the asymmetry (the solid line denotes the theoretical results obtained from Eq. (25), and the circle line represents the numerical simulation results), where : (a) ; (b) ; (c) γ = –0.07

    Fig. 1. Variation of residence-times distribution function (RTDF) with the asymmetry (the solid line denotes the theoretical results obtained from Eq. (25), and the circle line represents the numerical simulation results), where : (a) ; (b) ; (c) γ = –0.07

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    Potential well of : (a) ; (b) γ = –0.07

    Fig. 2. Potential well of : (a) ; (b) γ = –0.07

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    Variation of which is a function of noise intensity D, relative strength and recycling lag respectively with the asymmetry (): (a) ; (b) ; (c) D = 0.1, τ = 50

    Fig. 3. Variation of which is a function of noise intensity D, relative strength and recycling lag respectively with the asymmetry ( ): (a) ; (b) ; (c) D = 0.1, τ = 50

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    Variation of the RTDF with the relative strength ε(the solid line denotes the theoretical results obtained from Eq. (25), and the circle represents the numerical simulation results), where : (a) ; (b) ; (c) .

    Fig. 4. Variation of the RTDF with the relative strength ε(the solid line denotes the theoretical results obtained from Eq. (25), and the circle represents the numerical simulation results), where : (a) ; (b) ; (c) .

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    Variation of the RTDF with the recycling lag (the solid line denotes the theoretical results obtained from Eq. (25), and the circle represents the numerical simulation results), where : (a) ; (b) ; (c) .

    Fig. 5. Variation of the RTDF with the recycling lag (the solid line denotes the theoretical results obtained from Eq. (25), and the circle represents the numerical simulation results), where : (a) ; (b) ; (c) .

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    Variation of with D and , where , , .

    Fig. 6. Variation of with D and , where , , .

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    Ya-Zhen Wu, Zhong-Kui Sun. Residence-times distribution function in asymmetric bistable system driven by noise recycling[J]. Acta Physica Sinica, 2020, 69(12): 120501-1

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    Paper Information

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    Received: Nov. 14, 2019

    Accepted: --

    Published Online: Dec. 8, 2020

    The Author Email:

    DOI:10.7498/aps.69.20201752

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