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On the self-similarity of the logistic map

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Grzywna Z. J., Liebovitch L. S., Siwy Z.

Cellular and Molecular Biology Letters

1997

tom 02

nr 4

The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also analysed and suitably altered, where necessary.

Ograniczanie wyników

1 Cellular and Molecular Biology Letters

1 Grzywna Z. J.

1 Liebovitch L. S.

1 Siwy Z.

1 1997

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On the self-similarity of the logistic map