スエマツ　ノブヒコ   SUEMATSU Nobuhiko   末松　信彦    所属   明治大学  総合数理学部    職種   専任教授
言語種別	英語
発行・発表の年月	2019/02
形態種別	学術雑誌
査読	査読あり
標題	Rotational motion of a camphor disk in a circular region
執筆形態	共著(筆頭者以外)
掲載誌名	Physical Review E
掲載区分	国外
巻・号・頁	99,pp.022211
著者・共著者	Yuki Koyano, Nobuhiko J. Suematsu, Hiroyuki Kitahata
概要	© 2019 American Physical Society. In a two-dimensional axisymmetric system, the system symmetry allows rotational or oscillatory motion as stable stationary motion for a symmetric self-propelled particle. In the present paper, we studied the motion of a camphor disk confined in a two-dimensional circular region. By reducing the mathematical model describing the dynamics of the motion of a camphor disk and the concentration field of camphor molecules on a water surface, we analyzed the reduced equations around a bifurcation point where the rest state at the center of the system becomes unstable. As a result, we found that rotational motion is stably realized through the double-Hopf bifurcation from the rest state. The theoretical results were confirmed by numerical calculation and corresponded well to the experimental results.
DOI	10.1103/PhysRevE.99.022211
ISSN	24700045
PMID	30934219
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