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A New Fractional‐Order Chaotic Complex System and Its Antisynchronization

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  • Cuimei Jiang
  • Shutang Liu
  • Chao Luo

Abstract

We propose a new fractional‐order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors. Chaotic behavior is verified with phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents. And we find that chaos exists in this system with orders less than 5 by numerical simulation. Additionally, antisynchronization of different fractional‐order chaotic complex systems is considered based on the stability theory of fractional‐order systems. This new system and the fractional‐order complex Lorenz system can achieve antisynchronization. Corresponding numerical simulations show the effectiveness and feasibility of the scheme.

Suggested Citation

  • Cuimei Jiang & Shutang Liu & Chao Luo, 2014. "A New Fractional‐Order Chaotic Complex System and Its Antisynchronization," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:326354
    DOI: 10.1155/2014/326354
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    References listed on IDEAS

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    1. Chao Luo & Xingyuan Wang, 2013. "Chaos Generated From The Fractional-Order Complex Chen System And Its Application To Digital Secure Communication," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 1-23.
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    Cited by:

    1. Mihaela Neamţu & Anamaria Liţoiu & Petru C. Strain, 2015. "Integer and Fractional General T‐System and Its Application to Control Chaos and Synchronization," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).

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