Chaos Synchronization between Two Different Fractional Systems of Lorenz Family. (6th May 2009)

• Record Type: Journal Article
• Authors: Matouk, A. E.
• Other Names: Macau Elbert E. Neher Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2009(2009)
• Publication Date: 2009-05-06
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2009/572724
• Languages: English
• ISSNs: 1024-123X

Abstract

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.