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螺旋桨状樟脑转子旋转时的不完全分叉

Imperfect bifurcation in the rotation of a propeller-shaped camphor rotor.

作者信息

Koyano Yuki, Kitahata Hiroyuki

机构信息

Department of Physics, Graduate School of Science, Tohoku University, Sendai 980-8578, Japan.

Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.

出版信息

Phys Rev E. 2021 Jan;103(1-1):012202. doi: 10.1103/PhysRevE.103.012202.

DOI:10.1103/PhysRevE.103.012202
PMID:33601587
Abstract

We investigated the bifurcation structure on the self-propelled motion of a camphor rotor at a water surface. The center of the camphor rotor was fixed by the axis, and it showed rotational motion around it. Due to the chiral asymmetry of its shape, the absolute values of the angular velocities in clockwise and counterclockwise directions were different. This asymmetry in the angular velocities implies an imperfect bifurcation. From the numerical simulation results, we discuss the condition for the occurrence of the imperfect bifurcation.

摘要

我们研究了樟脑转子在水面上自推进运动的分岔结构。樟脑转子的中心由轴固定,并围绕轴做旋转运动。由于其形状的手性不对称性,顺时针和逆时针方向的角速度绝对值不同。角速度的这种不对称意味着存在不完全分岔。根据数值模拟结果,我们讨论了不完全分岔发生的条件。

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