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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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:251715
    DOI: 10.1155/2012/251715
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    References listed on IDEAS

    as
    1. E. Ahmed & A. M. A. El-Sayed & A. E. M. El-Mesiry & H. A. A. El-Saka, 2005. "Numerical Solution For The Fractional Replicator Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1017-1025.
    2. Mahmoud, Gamal M. & Aly, Shaban A. & Farghaly, Ahmed A., 2007. "On chaos synchronization of a complex two coupled dynamos system," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 178-187.
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    Cited by:

    1. Rabha W. Ibrahim, 2013. "Stability and Stabilizing of Fractional Complex Lorenz Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Shih-Yu Li & Cheng-Hsiung Yang & Chin-Teng Lin & Li-Wei Ko & Tien-Ting Chiu, 2013. "Chaotic Motions in the Real Fuzzy Electronic Circuits," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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