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Research on the new dynamics properties for a noise-induced excited system

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Abstract

Three induces are discussed to study the new dynamics properties both analytically and numerically for noise-induced Fitzhugh-Nagumo system; the three induces are as follows: Lyapunov exponent, the density distribution of trajectories and power spectrum; the numerical experiment indicated that the noise can induce the system to quite regular dynamics, including coherence resonance (in the case of uncoupling) and stochastic synchronization (in the case of coupling), noise can control the dynamics properties and some other new phenomena that the synchronization takes place only for some moderate noise intensity is also found for the first time.

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Acknowledgments

The work is supported by Natural Science Special Foundation Project of Chongqing Key Laboratory of Electronic Commerce and Supply Chain System(2012ECSC0213) and by key projects from Natural Science Foundation Project of CQ CSTC.

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Authors and Affiliations

  1. Chongqing Key Laboratory of Electronic Commerce and Supply Chain System, Chongqing Technology and Business University, Chongqing, 400067, China

    Zeju Luo

  2. School of Computer Science and Information Engineering, Chong Qing Technology and Business University, Chongqing, 400067, China

    Zeju Luo

  3. Economics and Management Center, Chongqing Technology and Business University, Chongqing, 400067, China

    Lihong Song

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  1. Zeju Luo
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  2. Lihong Song
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Correspondence to Zeju Luo.

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Luo, Z., Song, L. Research on the new dynamics properties for a noise-induced excited system. Neural Comput & Applic 24, 521–529 (2014). https://doi.org/10.1007/s00521-012-1253-2

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  • DOI: https://doi.org/10.1007/s00521-012-1253-2

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