Anti-integrability for the Logistic Maps

Citation:

Yi-Chiuan CHEN.Anti-integrability for the Logistic Maps[J].Chinese Annals of Mathematics B,2007,28(2):219~224
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Authors:

Yi-Chiuan CHEN;
Abstract: The embedding of the Bernoulli shift into the logistic map $x\mapsto\mu x(1-x)$ for $\mu>4$ is reinterpreted by the theory of anti-integrability: it is inherited from the anti-integrable limit $\mu\to\infty$.

Keywords:

Logistic maps, Hyperbolicity, Symbolic dynamics, Anti-integrable limit

Classification:

37C15, 37D05, 37E05
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