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

David Rojas; Pedro J. Torres

doi:10.3934/dcdsb.2019265

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

David Rojas, Pedro J. Torres

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

2 Cites (Scopus)

Resum

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.

Idioma original	Anglès
Pàgines (de-a)	749-760
Nombre de pàgines	12
Revista	Discrete and Continuous Dynamical Systems - Series B
Volum	25
Número	2
DOIs	https://doi.org/10.3934/dcdsb.2019265
Estat de la publicació	En premsa - 2020

Accés al document

10.3934/dcdsb.2019265

https://ddd.uab.cat/record/221321

Com citar-ho

@article{ef9cfc40fd0342359a413e4584978e31,

title = "Bifurcation of relative equilibria generated by a circular vortex path in a circular domain",

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 = "Vortex, Passive transport, Stirring protocol, Stream function, Periodic orbit, Winding number",

author = "David Rojas and Torres, {Pedro J.}",

year = "2020",

doi = "10.3934/dcdsb.2019265",

language = "English",

volume = "25",

pages = "749--760",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "Southwest Missouri State University",

number = "2",

}

TY - JOUR

T1 - Bifurcation of relative equilibria generated by a circular vortex path in a circular domain

AU - Rojas, David

AU - Torres, Pedro J.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Vortex

KW - Passive transport

KW - Stirring protocol

KW - Stream function

KW - Periodic orbit

KW - Winding number

U2 - 10.3934/dcdsb.2019265

DO - 10.3934/dcdsb.2019265

M3 - Article

SN - 1531-3492

VL - 25

SP - 749

EP - 760

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 2

ER -

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

Resum

Accés al document

Fingerprint

Com citar-ho