Circular motion subject to external alignment under active driving: nonlinear dynamics and the circle map
arXiv:2212.06024 · doi:10.1103/PhysRevE.106.064603
Abstract
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.
arXiv comment11 pages, 10 figures
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