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Basin structure in the two-dimensional dissipative circle map

Yumino Hayase·Shohei Fukano·Hiizu Nakanishi
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Abstract

Fractal basin structure in the two-dimensional dissipative circle map is examined in detail. Numerically obtained basin appears to be riddling in the parameter region where two periodic orbits co-exist near a boundary crisis, but it is shown to consist of layers of thin bands.

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Yumino Hayase, Shohei Fukano, Hiizu Nakanishi. 2003-09-03. Basin structure in the two-dimensional dissipative circle map. https://doi.org/10.1143/jpsj.72.1943

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