Volume 52, Number 4, November II 2000
|Page(s)||399 - 405|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
Two vortex rings produce chaos
Department of Physics, The Chinese University of
Hong Kong Shatin, Hong Kong, PRC
2 State Key Laboratory of Turbulence Research Department of Mechanics and Engineering Science Peking University - Beijing 100871, China
Corresponding author: firstname.lastname@example.org
Accepted: 22 September 2000
We study the streamlines of the velocity field produced by two unlinked vortex rings. We find that two vortex rings can produce chaos and observe a route to chaos directly from periodic orbits. From the case study of numerous ring configurations we give conditions for integrability of streamlines. We also find that near the larger ring or the stronger ring there are more stable regular structures.
PACS: 47.52.+j – Fluid dynamics: Chaos / 47.32.Cc – Vortex dynamics / 05.45.Ac – Low-dimensional chaos
© EDP Sciences, 2000
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