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Role of the initial conditions on the enhancement of the escape time in static and fluctuating potentials

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  • Fiasconaro, A
  • Valenti, D
  • Spagnolo, B

Abstract

We present a study of the noise driven escape of an overdamped Brownian particle moving in a cubic potential profile with a metastable state. We analyze the role of the initial conditions of the particle on the enhancement of the average escape time as a function of the noise intensity for fixed and fluctuating potentials. We observe the noise enhanced stability effect for all the initial unstable states investigated. For a fixed potential we find a peculiar initial condition xc which separates the set of the initial unstable states in two regions: those which give rise to divergences from those which show nonmonotonic behavior of the average escape time. For fluctuating potential at this particular initial condition and for low noise intensity we find large fluctuations of the average escape time.

Suggested Citation

  • Fiasconaro, A & Valenti, D & Spagnolo, B, 2003. "Role of the initial conditions on the enhancement of the escape time in static and fluctuating potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 136-143.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:136-143
    DOI: 10.1016/S0378-4371(03)00192-4
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    Cited by:

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    2. Wu, Jian-Li & Duan, Wei-Long & Luo, Yuhui & Yang, Fengzao, 2020. "Time delay and non-Gaussian noise-enhanced stability of foraging colony system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
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    6. Li, Jiang-Cheng & Tao, Chen & Li, Hai-Feng, 2022. "Dynamic forecasting performance and liquidity evaluation of financial market by Econophysics and Bayesian methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    7. Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2021. "A novel underdamped continuous unsaturation bistable stochastic resonance method and its application," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
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    11. Chen, Ruyin & Xiong, Yue & Jiang, Luoluo & He, Zhifen & Zhou, Jiawei, 2021. "Binocular rivalry subjected to noises and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    12. Chun Zhang & Tao Yang & Shi-Xian Qu, 2021. "Impact of time delays and environmental noise on the extinction of a population dynamics model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-16, November.
    13. Duan, Wei-Long & Lin, Ling, 2021. "Noise and delay enhanced stability in tumor-immune responses to chemotherapy system," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    14. Yablokov, A.A. & Glushkov, E.I. & Pankratov, A.L. & Gordeeva, A.V. & Kuzmin, L.S. & Il’ichev, E.V., 2021. "Resonant response drives sensitivity of Josephson escape detector," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    15. Agudov, N.V. & Dubkov, A.A. & Safonov, A.V. & Krichigin, A.V. & Kharcheva, A.A. & Guseinov, D.V. & Koryazhkina, M.N. & Novikov, A.S. & Shishmakova, V.A. & Antonov, I.N. & Carollo, A. & Spagnolo, B., 2021. "Stochastic model of memristor based on the length of conductive region," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
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    18. Akgül, Akif & Rajagopal, Karthikeyan & Durdu, Ali & Pala, Muhammed Ali & Boyraz, Ömer Faruk & Yildiz, Mustafa Zahid, 2021. "A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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