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arXiv · 1702.07868

Bifurcation of relative equilibria generated by a circular vortex path in a circular domain

David Rojas·Pedro J. Torres
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Abstract

We study the passive particle transport generated by a circular vortex path in a 2D ideal flow confined in a circular domain. Taking the strength and angular velocity of the vortex path as main parameters, the bifurcation scheme of relative equilibria is identified. For a perturbed path, an infinite number of orbits around the centers are persistent, giving rise to periodic solutions with zero winding number.

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David Rojas, Pedro J. Torres. 2017-02-25. Bifurcation of relative equilibria generated by a circular vortex path in a circular domain. https://arxiv.org/abs/1702.07868

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