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| Anti-integrability for the Logistic Maps |
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Citation: |
Yi-Chiuan CHEN.Anti-integrability for the Logistic Maps[J].Chinese Annals of Mathematics B,2007,28(2):219~224 |
| Page view: 1273
Net amount: 979 |
Authors: |
Yi-Chiuan CHEN; |
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| 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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