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Nonlinear observer-based impulsive synchronization in chaotic systems with multiple attractors

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Abstract

The issue of impulsive synchronization of the coupled Newton–Leipnik system is investigated. Based on the impulsive stability theory, nonlinear observer-based impulsive synchronization scheme is derived. A new and less conservative criteria for impulsive synchronization via nonlinear observer is proposed. The boundary of the stable regions is also estimated. One important advantage of the proposed method is that it is also applicable for the systems with more than one attractor. Numerical simulations on Newton–Leipnik system are illustrated to verify the theoretical results.

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Authors and Affiliations

  1. Department of Mathematics, Dinabandhu Andrews College, Garia, Calcutta, 700 084, India

    Dibakar Ghosh

  2. High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta, 700032, India

    Dibakar Ghosh & A. Roy Chowdhury

Authors
  1. Dibakar Ghosh
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  2. A. Roy Chowdhury
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Correspondence to A. Roy Chowdhury.

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Ghosh, D., Roy Chowdhury, A. Nonlinear observer-based impulsive synchronization in chaotic systems with multiple attractors. Nonlinear Dyn 60, 607–613 (2010). https://doi.org/10.1007/s11071-009-9618-5

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  • DOI: https://doi.org/10.1007/s11071-009-9618-5

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