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Analysis and adaptive synchronization of eight-term 3-D polynomial chaotic systems with three quadratic nonlinearities

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  • Synchronization of Systems and Networks for Communication
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Abstract

This paper proposes a eight-term 3-D polynomial chaotic system with three quadratic nonlinearities and describes its properties. The maximal Lyapunov exponent (MLE) of the proposed 3-D chaotic system is obtained as L 1 = 6.5294. Next, new results are derived for the global chaos synchronization of the identical eight-term 3-D chaotic systems with unknown system parameters using adaptive control. Lyapunov stability theory has been applied for establishing the adaptive synchronization results. Numerical simulations are shown using MATLAB to describe the main results derived in this paper.

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Authors and Affiliations

  1. Vel Tech University, Research and Development Centre, Avadi, Chennai-600 062, Tamil Nadu, India

    S. Vaidyanathan

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  1. S. Vaidyanathan
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Correspondence to S. Vaidyanathan.

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Vaidyanathan, S. Analysis and adaptive synchronization of eight-term 3-D polynomial chaotic systems with three quadratic nonlinearities. Eur. Phys. J. Spec. Top. 223, 1519–1529 (2014). https://doi.org/10.1140/epjst/e2014-02114-2

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  • DOI: https://doi.org/10.1140/epjst/e2014-02114-2

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