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Generalized projective synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal. (English) Zbl 1220.34060

Summary: In this Letter, a drive-response synchronization method with linear output error feedback is presented for “generalized projective synchronization” of a class of fractional-order chaotic systems via a scalar transmitted signal. This synchronization approach is theoretically and numerically studied. By using stability theory of linear fractional-order systems, the suitable conditions for achieving synchronization are given. Two examples are used to illustrate the effectiveness of the proposed synchronization method. Numerical simulations coincide with the theoretical analysis.

MSC:

34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34D06 Synchronization of solutions to ordinary differential equations
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
93D15 Stabilization of systems by feedback
26A33 Fractional derivatives and integrals
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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