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Zbl 1214.34042
Yu, Yongguang; Li, Han-Xiong
Adaptive hybrid projective synchronization of uncertain chaotic systems based on backstepping design. (English)
[J] Nonlinear Anal., Real World Appl. 12, No. 1, 388-393 (2011). ISSN 1468-1218

Authors' abstract: An adaptive backstepping design is proposed for the full state hybrid projective synchronization between two different chaotic systems with fully unknown parameters. Based on the design, the synchronization of two uncertain chaotic systems is realized only by using one controller, and the unknown parameters are identified through the corresponding parameter update laws. The uncertain Genesio-Tesi chaotic system and Lorenz system are chosen as examples for detailed description of the method. Finally, some numerical simulations are given to illustrate the effectiveness of the proposed method.
[Li Changpin (Logan)]

MSC 2000:: *34D06
34H10
34C28 Other types of "recurrent" solutions of ODE

Keywords: hybrid projective synchronization; chaotic system; uncertain system; backstepping design

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