Chaos Synchronization between Two Different Fractional Systems of Lorenz Family | Zendy

A.E. Matouk | Zendy

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Chaos Synchronization between Two Different Fractional Systems of Lorenz Family

Author(s) -

A.E. Matouk

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/572724

Subject(s) - laplace transform , chen , synchronization (alternating current) , lorenz system , order (exchange) , chaotic systems , chaotic , mathematics , fractional calculus , fractional order system , chaos (operating system) , synchronization of chaos , control theory (sociology) , computer science , mathematical analysis , topology (electrical circuits) , artificial intelligence , combinatorics , computer security , control (management) , paleontology , finance , economics , biology

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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