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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, Hindawi, vol. 2014, pages 1-12, October.
    • Handle: RePEc:hin:jnlaaa:326354
    DOI: 10.1155/2014/326354
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    Cited by:

    1. Vignesh, D. & He, Shaobo & Banerjee, Santo, 2023. "Modelling discrete time fractional Rucklidge system with complex state variables and its synchronization," Applied Mathematics and Computation, Elsevier, vol. 455(C).
    2. Yadav, Vijay K. & Shukla, Vijay K. & Das, Subir, 2021. "Exponential synchronization of fractional-order complex chaotic systems and its application," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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