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Time-delay induced symmetry restoration and noise enhanced stability phenomena under correlated noises in an asymmetric bistable system

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Abstract

We consider the effects of time delay on the probability distribution function and the transition rate in an asymmetric bistable system with cross-correlated noises in this paper. The probability distribution function and the transition rate of the system are calculated analytically and numerically. We find that, by increasing the delay time τ, the symmetry of the asymmetric bistable system is restored and the state transition rate k of the system decreases with the activation rate, which corresponds to the phenomenon of noise enhanced stability.

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Acknowledgments

This work has been supported by the National Natural Science Foundation of China (Grant No. 11347014).

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Authors and Affiliations

  1. Faculty of Science, Kunming University of Science and Technology, Kunming, 650500, China

    F Long

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  1. F Long
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Correspondence to F Long.

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Long, F. Time-delay induced symmetry restoration and noise enhanced stability phenomena under correlated noises in an asymmetric bistable system. Indian J Phys 88, 1111–1116 (2014). https://doi.org/10.1007/s12648-014-0508-4

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  • DOI: https://doi.org/10.1007/s12648-014-0508-4

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