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Directing orbits of chaotic systems by particle swarm optimization. (English) Zbl 1147.93314

Summary: Applies a novel evolutionary computation algorithm named particle swarm optimization (PSO) to direct the orbits of discrete chaotic dynamical systems towards desired target region within a short time by adding only small bounded perturbations, which could be formulated as a multi-modal numerical optimization problem with high dimension. Moreover, the synchronization of chaotic systems is also studied, which can be dealt with as an online problem of directing orbits. Numerical simulations based on Hénon Map demonstrate the effectiveness and efficiency of PSO, and the effects of some parameters are also investigated.

MSC:

93B05 Controllability
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
90C59 Approximation methods and heuristics in mathematical programming
93C55 Discrete-time control/observation systems
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