TY - JOUR
T1 - On multiple routes to chaos in advection induced by point vortices
AU - Kunin, I.
AU - Hussain, F.
AU - Zhou, X.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2003/3
Y1 - 2003/3
N2 - Chaotic advection induced by periodic motions of point vortices inside and outside of a circular domain and in the infinite plane is analyzed. Though simple, this model flow captures multiple routes to chaos and gives a good qualitative picture of advection in more complicated domains such as rectangle and ellipse. Different scenarios of chaotic advection depend on the topology of unperturbed phase portraits and type of perturbations. In addition to the typical KAM cases, we find scenarios accounting for inherent singularity of the velocity field.
AB - Chaotic advection induced by periodic motions of point vortices inside and outside of a circular domain and in the infinite plane is analyzed. Though simple, this model flow captures multiple routes to chaos and gives a good qualitative picture of advection in more complicated domains such as rectangle and ellipse. Different scenarios of chaotic advection depend on the topology of unperturbed phase portraits and type of perturbations. In addition to the typical KAM cases, we find scenarios accounting for inherent singularity of the velocity field.
UR - http://www.scopus.com/inward/record.url?scp=0037335578&partnerID=8YFLogxK
U2 - 10.1016/S0020-7225(02)00216-1
DO - 10.1016/S0020-7225(02)00216-1
M3 - Article
AN - SCOPUS:0037335578
VL - 41
SP - 459
EP - 464
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
SN - 0020-7225
IS - 3-5
ER -