论文标题
循环运动受主动驾驶下的外部对齐的视为：非线性动力学和圆形图
Circular motion subject to external alignment under active driving: nonlinear dynamics and the circle map
论文作者
论文摘要
几乎没有任何真正的自我宣传或主动驱动的对象是完美的。因此，不受干扰的运动通常不会遵循直线，而是循环轨迹。我们在这里解决了以离散步骤移动的自行旋转或主动驱动的对象，还可以通过离散的角度调整来朝着某个方向迁移。角度对齐是可能的。这项竞争意味着明显的非线性动力学，包括在广泛参数方面的时期加倍和混沌行为。这种行为直接影响轨迹的外观，在空间自我浓度下集体运动期间。
Hardly any real self-propelling or actively driven object is perfect. Thus, undisturbed motion will generally not follow straight lines but rather circular trajectories. We here address self-propelled or actively driven objects that move in discrete steps and additionally tempt to migrate towards a certain direction by discrete angular adjustment. Overreaction in the angular alignment is possible. This competition implies pronounced nonlinear dynamics including period doubling and chaotic behavior in a broad parameter regime. Such behavior directly affects the appearance of the trajectories, also during collective motion under spatial self-concentration.
