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

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

2003-03-15

arxiv.org/abs/nlin/0303028v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 9 figures

Scientific paper

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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