Riddled-like Basin in Two-Dimensional Map for Bouncing Motion of an Inelastic Particle on a Vibrating Board
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概要
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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.
- 社団法人日本物理学会の論文
- 2002-09-15
著者
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Hayase Y
Department Of Physics Kyushu University
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Hayase Yumino
Department Of Physics And Graduate School Of Humanities And Sciences Ochanomizu University
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Nakanishi Hiizu
Department Of Physics Faculty Of Science And Technology Keio University
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FUKANO Shohei
Department of Physics, Kyushu University
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Fukano Shohei
Department Of Physics Kyushu University
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