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Zbl 1222.34063
Pan, Lin; Zhou, Wuneng; Fang, Jian'an; Li, Dequan
Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 12, 3754-3762 (2010). ISSN 1007-5704

Summary: This paper discusses the synchronization and anti-synchronization of new uncertain fractional-order unified chaotic systems (UFOUCS). Based on the idea of active control, a novel active pinning control strategy is presented, which only needs a state of new UFOUCS. The proposed controller can achieve synchronization between a response system and a drive system, and ensure the synchronized robust stability of new UFOUCS. Numerical simulations of new UFOUCS show that the controller can make fractional-order unified chaotic systems (FOUCS) achieve synchronization or anti-synchronization in a quite short period and both are of good robust stability.

MSC 2000:: *34D06
34A08
34A33
37D45 Strange attractors, chaotic dynamics
37N35 Dynamical systems in control
93D15 Stabilization of systems by feedback

Keywords: fractional-order unified chaotic system (FOUCS); pinning control; active control; synchronization; anti-synchronization

Cited in: Zbl 1222.34060

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