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Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. (English) Zbl 1221.93091

Summary: Based on the stability theory of fractional order systems, this paper analyses the synchronization conditions of the fractional order chaotic systems with activation feedback method. And the synchronization of commensurate order hyperchaotic Lorenz system of the base order \(0.98\) is implemented based on this method. Numerical simulations show the effectiveness of this method in a class of fractional order chaotic systems.

MSC:

93B52 Feedback control
34H10 Chaos control for problems involving ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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