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Zbl 1205.37025
Wang, Zuo-Lei; Shi, Xue-Rong
Chaotic bursting lag synchronization of Hindmarsh-Rose system via a single controller.
(English)
[J] Appl. Math. Comput. 215, No. 3, 1091-1097 (2009). ISSN 0096-3003

Authors' abstract: Chaotic bursting lag synchronization of Hindmarsh-Rose system is investigated. Two lag synchronization schemes with only a single controller are proposed to synchronize Hindmarsh-Rose chaotic system via a back stepping method. Especially in the second scheme, only one state variable is contained in the controller. Based on Lyapunov stability theory, the sufficient conditions for synchronization are obtained analytically in both cases. Finally, numerical simulations are provided to show the effectiveness of the developed methods.
[Constantin Udrişte (Bucureşti)]
MSC 2000:
*37B25 Lyapunov functions and stability
37C10 Vector fields, flows, ordinary differential equations

Keywords: lag synchronization; Hindmarsh-Rose system; chaotic bursting; Lyapunov function

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