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Complexity and synchronization in stochastic chaotic systems

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  • Synchronization, Control and Dynamics of Chaotic Models
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Abstract

We investigate the complexity of a hyperchaotic dynamical system perturbed by noise and various nonlinear speech and music signals. The complexity is measured by the weighted recurrence entropy of the hyperchaotic and stochastic systems. The synchronization phenomenon between two stochastic systems with complex coupling is also investigated. These criteria are tested on chaotic and perturbed systems by mean conditional recurrence and normalized synchronization error. Numerical results including surface plots, normalized synchronization errors, complexity variations etc show the effectiveness of the proposed analysis.

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Authors and Affiliations

  1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01, Dai Co Viet, Hanoi, Vietnam

    Thai Son Dang & Thang Manh Hoang

  2. Basic Sciences and Humanities Department, Calcutta Institute of Engineering and Management, Kolkata, India

    Sanjay Kumar Palit

  3. Department of Mathematics, Sivanath Sastri College, Kolkata, India

    Sayan Mukherjee

  4. Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia

    Santo Banerjee

Authors
  1. Thai Son Dang
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  2. Sanjay Kumar Palit
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  3. Sayan Mukherjee
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  4. Thang Manh Hoang
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  5. Santo Banerjee
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Corresponding author

Correspondence to Santo Banerjee.

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Dang, T., Palit, S., Mukherjee, S. et al. Complexity and synchronization in stochastic chaotic systems. Eur. Phys. J. Spec. Top. 225, 159–170 (2016). https://doi.org/10.1140/epjst/e2016-02616-9

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  • DOI: https://doi.org/10.1140/epjst/e2016-02616-9

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