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Designing lag synchronization schemes for unified chaotic systems. (English) Zbl 1219.93040

Summary: Lag synchronization of chaotic unified systems is investigated theoretically and numerically. Three kinds of single-controller schemes are designed to achieve lag synchronization of the so-called chaotic unified systems and some results are proved theoretically using Lyapunov’s stability theory. Computer simulations are then provided to show the effectiveness and feasibility of the proposed methods.

MSC:

93B52 Feedback control
93-04 Software, source code, etc. for problems pertaining to systems and control theory
34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
93D15 Stabilization of systems by feedback
Full Text: DOI

References:

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