Bifurcation of relative equilibria generated by a circular vortex path in a circular domain
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American Institute of Mathematical Sciences (AIMS)
Date
2020-02Referencia bibliográfica
Rojas, D., & Torres, P. J. (2017). Bifurcation of relative equilibria generated by a circular vortex path in a circular domain. arXiv preprint arXiv:1702.07868.
Résumé
We study the passive particle transport generated by a circular
vortex path in a 2D ideal
ow con ned in a circular domain. Taking the
strength and angular velocity of the vortex path as main parameters, the bi-
furcation scheme of relative equilibria is identi ed. For a perturbed path, an
in nite number of orbits around the centers are persistent, giving rise to peri-
odic solutions with zero winding number.