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Zbl 1181.37047
Matouk, A.E.
Chaos synchronization between two different fractional systems of Lorenz family. (English)
[J] Math. Probl. Eng. 2009, Article ID 572724, 11 p. (2009). ISSN 1024-123X; ISSN 1563-5147/e

Summary: 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.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34C28 Other types of "recurrent" solutions of ODE

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Zentralblatt MATH Berlin [Germany]