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Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables

Author

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  • A. M. A. El-Sayed
  • E. Ahmed
  • H. A. A. El-Saka

Abstract

We study the dynamic properties (equilibrium points, local and global stability, chaos and bifurcation) of the continuous dynamical system of the logistic equation of complex variables. The existence and uniqueness of uniformly Lyapunov stable solution will be proved.

Suggested Citation

  • A. M. A. El-Sayed & E. Ahmed & H. A. A. El-Saka, 2012. "Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, August.
    • Handle: RePEc:hin:jnlaaa:251715
    DOI: 10.1155/2012/251715
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    Cited by:

    1. Zhang, Fangfang & Zhang, Shuaihu & Chen, Guanrong & Li, Chunbiao & Li, Zhengfeng & Pan, Changchun, 2022. "Special attractors and dynamic transport of the hybrid-order complex Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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