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Yet another algorithm for chaotifying control of discrete chaos - MaRDI portal

Yet another algorithm for chaotifying control of discrete chaos (Q2705735)

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Yet another algorithm for chaotifying control of discrete chaos
scientific article

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    19 March 2001
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    Li-Yorke chaos
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    feedback control algorithm
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    continuous sawtooth function
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    Marotto theorem
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    modified Chen-Lai feedback anticontrol methods
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    Yet another algorithm for chaotifying control of discrete chaos (English)
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    This paper is devoted to a feedback control algorithm for chaotification of an originally non-chaotic system. Here the discontinuous modulus function is replaced by a continuous sawtooth function which still ``folds'' the trajectories back into the original phase space area, but that is easier to reproduce in a circuit. The authors apply the Marotto theorem to prove that the modified Chen-Lai feedback anticontrol methods yield chaos in the sense of Li and Yorke.
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