Basin structure in the two-dimensional dissipative circle map

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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published in J. Phys. Soc. Jpn., 72, 1943-1947 (2003)

Scientific paper

10.1143/JPSJ.72.1943

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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