Rongyan Zhang
Abstract
We propose a hybrid control strategy in which state feedback and parameter perturbation are used to control the period-doubling bifurcations and to stabilize unstable periodic orbits embedded in the chaotic attractor of the logistic map.Finally,some numerical simulations are presented to verify the theoretical analysis.
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We propose a hybrid control strategy in which state feedback and parameter perturbation are used to control the period-doubling bifurcations and to stabilize unstable periodic orbits embedded in the chaotic attractor of the logistic map.Finally,some numerical simulations are presented to verify the theoretical analysis.
Key concepts: Logistic map, Period-doubling bifurcation, Bifurcation, Attractor, Chaotic, Control theory (sociology), Perturbation (astronomy), Mathematics