Bifurcation of relative equilibria generated by a circular vortex path in a circular domain
Dynamical Systems
2017-02-28 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1702.07868,
title = {Bifurcation of relative equilibria generated by a circular vortex path in a circular domain},
author = {David Rojas and Pedro J. Torres},
journal= {arXiv preprint arXiv:1702.07868},
year = {2017}
}