Yu-Ping Tian
Abstract
In this paper, a chaotic switched arrival system is considered. Poincare section and Poincare mapping are introduced for defining periodic orbits of this hybrid system. We propose a time-delayed impulsive feedback method to detect unstable periodic orbits embedded in the chaotic attractor. The convergence of the proposed algorithm is proved.
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In this paper, a chaotic switched arrival system is considered. Poincare section and Poincare mapping are introduced for defining periodic orbits of this hybrid system. We propose a time-delayed impulsive feedback method to detect unstable periodic orbits embedded in the chaotic attractor. The convergence of the proposed algorithm is proved.
Key concepts: Attractor, Poincaré map, Periodic orbits, Chaotic, Poincaré conjecture, Convergence (economics), Control theory (sociology), Computer science