Bifurcation of relative equilibria generated by a circular vortex path in a circular domain
Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
Torres, Pedro J. (Universidad de Granada. Departamento de Matemática Aplicada)

Date:	2020
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.
Grants:	Ministerio de Economía y Competitividad MTM2017-82348-C2-1-P Ministerio de Economía y Competitividad MTM2017-86795-C3-1-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Vortex ; Passive transport ; Stirring protocol ; Stream function ; Periodic orbit ; Winding number
Published in:	Discrete and continuous dynamical systems. Series B, Vol. 25, Issue 2 (February 2020) , p. 749-760, ISSN 1553-524X

DOI: 10.3934/dcdsb.2019265

Postprint 10 p, 632.5 KB

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