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Stability analysis for the synchronization of chaotic systems with different order: application to secure communications. (English) Zbl 1161.94389
Summary: The synchronization of different order systems or reduced-order synchronization is studied. We show that dynamical evolution of second-order oscillators can be synchronized with the canonical projection of a fourth-order chaotic system. In this sense, it is said that synchronization is achieved in reduced order. The proposed strategy is an input-output control scheme which comprises an uncertainty estimator and an exponential controller. In this way, the reduced-order synchronization is attained at any prescribed speed in spite of master/slave mismatches. Simulation results are provided to verify the operation of the designed synchronization scheme. The proposed controller is implemented to secure communication.

37N99Applications of dynamical systems
37D45Strange attractors, chaotic dynamics
34D20Stability of ODE
Full Text: DOI
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