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Chaos Synchronization between Two Different Fractional Systems of Lorenz Family

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  • A. E. Matouk

Abstract

This work investigates chaos synchronization between two different fractional order chaotic systems of Lorenz family. The fractional order Lü system is controlled to be the fractional order Chen system, and the fractional order Chen system is controlled to be the fractional order Lorenz-like system. The analytical conditions for the synchronization of these pairs of different fractional order chaotic systems are derived by utilizing Laplace transform. Numerical simulations are used to verify the theoretical analysis using different values of the fractional order parameter.

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  • A. E. Matouk, 2009. "Chaos Synchronization between Two Different Fractional Systems of Lorenz Family," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-11, May.
    • Handle: RePEc:hin:jnlmpe:572724
    DOI: 10.1155/2009/572724
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    Cited by:

    1. Matouk, A.E., 2020. "Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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