On chaos synchronization of fractional differential equations. (English) Zbl 1132.37308

Yan, Jianping; Li, Changpin

Chaos Solitons Fractals 32, No. 2, 725-735 (2007).

Summary: A simple but efficient method for chaos synchronization of fractional differential systems is proposed, which is based upon the stability criterion of linear fractional differential systems. Using this new method, chaos synchronization for fractional Lorenz, Rössler, and Chen systems are implemented.

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
26A33	Fractional derivatives and integrals
34D20	Stability of solutions to ordinary differential equations

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