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Characterizing stochastic resonance in coupled bistable system with Poisson white noises via statistical complexity measures

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Abstract

This paper mainly analyzes the role of Poisson white noise on stochastic resonance in two coupled bistable systems. Statistical complexity and normalized Shannon entropy are used to quantify stochastic resonance behavior induced by modulating the parameters of Poisson white noise and given system. Maximum of statistical complexity and minimum of normalized Shannon entropy for an optimal noise level are considered as a symbol of the occurrence of stochastic resonance. The numerical results demonstrate that stochastic resonance behavior becomes more pronounced when increasing the mean arrival rate of Poisson white noise with fixed noise intensity. Furthermore, one can also find that the dynamical complexity of given system excited by Poisson white noise approaches the one with Gaussian white noise in the condition of same noise intensity when the mean arrival rate of Poisson white noise tends to infinity. Besides, the influences of coupling strength and damping parameter on stochastic resonance are investigated by means of statistical complexity and normalized Shannon entropy.

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Acknowledgements

This work is supported by the National Nature Science Foundation of China (Grants No. 11172233, 11272258, 11502199, 11602184) and the Fundamental Research Funds for the Central Universities (Grant No. JB160705).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xidian University, Xi’an, 710072, China

    Meijuan He

  2. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, China

    Wei Xu, Zhongkui Sun & Wantao Jia

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  1. Meijuan He
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  2. Wei Xu
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  4. Wantao Jia
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Correspondence to Wei Xu.

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He, M., Xu, W., Sun, Z. et al. Characterizing stochastic resonance in coupled bistable system with Poisson white noises via statistical complexity measures. Nonlinear Dyn 88, 1163–1171 (2017). https://doi.org/10.1007/s11071-016-3302-3

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  • DOI: https://doi.org/10.1007/s11071-016-3302-3

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