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Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control

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  • Xiaobing Zhou
  • Lianglin Xiong
  • Weiwei Cai
  • Xiaomei Cai

Abstract

This paper investigates the synchronization and antisynchronization problems of a hyperchaotic complex Chen system with unknown parameters based on the properties of a passive system. The essential conditions are derived under which the synchronization or antisynchronization error dynamical system could be equivalent to a passive system and be globally asymptotically stabilized at a zero equilibrium point via smooth state feedback. Corresponding parameter estimation update laws are obtained to estimate the unknown parameters as well. Numerical simulations verify the effectiveness of the theoretical analysis.

Suggested Citation

  • Xiaobing Zhou & Lianglin Xiong & Weiwei Cai & Xiaomei Cai, 2013. "Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:845253
    DOI: 10.1155/2013/845253
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    References listed on IDEAS

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    1. Gamal M. Mahmoud & Mansour E. Ahmed & Emad E. Mahmoud, 2008. "Analysis Of Hyperchaotic Complex Lorenz Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(10), pages 1477-1494.
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    Cited by:

    1. Seng-Kin Lao & Lap-Mou Tam & Hsien-Keng Chen & Long-Jye Sheu, 2014. "Hybrid Stability Checking Method for Synchronization of Chaotic Fractional‐Order Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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