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

Imperfect bifurcation in the rotation of a propeller-shaped camphor rotor
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DOI:
10.1103/physreve.103.012202
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发表时间:
2021-01-04
期刊:
影响因子:
2.4
通讯作者:
Kitahata, Hiroyuki
Kitahata, Hiroyuki
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Koyano, Yuki;Kitahata, Hiroyuki

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研究了水面上樟脑转子自航运动的分叉结构。樟脑转子的中心被轴线固定,并绕其旋转运动。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性意味着一种不完美的分叉。根据数值模拟结果,讨论了系统发生不完全分叉的条件。
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.