Riddled-like Basin in Two-Dimensional Map for Bouncing Motion of an Inelastic Particle on a Vibrating Board

Shohei Fukano, Yumino Hayase, Hiizu Nakanishi

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

Motivated by bouncing motion of an inelastic particle on a vibrating board, a simple two-dimensional map is constructed and its behavior is studied numerically. In addition to the typical route to chaos through a periodic doubling bifurcation, we found peculiar behavior in the parameter region where two stable periodic attractors coexist. A typical orbit in the region goes through chaotic motion for an extended transient period before it converges into one of the two periodic attractors. The basin structure in this parameter region is almost riddling and the fractal dimension of the basin boundary is close to two, i.e., the dimension of the phase space.

本文言語英語
ページ(範囲)2075-2077
ページ数3
ジャーナルjournal of the physical society of japan
71
9
DOI
出版ステータス出版済み - 9 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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