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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) Zbl 1222.34063

Commun. Nonlinear Sci. Numer. Simul. 15, No. 12, 3754-3762 (2010).
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.

Cited in 1 Review
Cited in 20 Documents

MSC:

34D06 Synchronization of solutions to ordinary differential equations
34A08 Fractional ordinary differential equations
34A33 Ordinary lattice differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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
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\textit{L. Pan} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 12, 3754--3762 (2010; Zbl 1222.34063)
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