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Chaos synchronization of fractional-order differential systems. (English) Zbl 1101.37025
Summary: Chaos synchronization of the Duffing, Lorenz and Rössler systems with fractional orders are studied theoretically and numerically. Three methods are applied in this paper: combination of active-passive decomposition (APD) and one-way coupling methods, Pecora-Carroll method, bidirectional coupling method. Sufficient conditions of achieving synchronization between two identical fractional systems are derived by using the Laplace transform theory. Numerical simulations demonstrate the effectiveness of the proposed synchronization schemes for these fractional systems.
MSC:
37D45Strange attractors, chaotic dynamics
93D15Stabilization of systems by feedback