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Interwoven basin structures of double logistic map at the edge of chaos

Gyu-Seung Shin
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Abstract

The carpeting regularity of basin structures for simply doubled logistic map is studied. Examining the elementary structures of which global basin structures are composed, we found them to have a impressive interrelation which we call "all in one and one in all". Curves appearing in the basins and their expressions are also discussed.

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Gyu-Seung Shin. 2003-03-15. Interwoven basin structures of double logistic map at the edge of chaos. https://arxiv.org/abs/nlin/0303028

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