paper

Basin structure in the two-dimensional dissipative circle map

arXiv:nlin/0309006 · doi:10.1143/JPSJ.72.1943

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.

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

Basin structure in the two-dimensional dissipative circle map · wovepaper