Two vortex rings produce chaos

Europhysics Letters

Volumn 52, Issue 4, 2000, Pages 399-405

  Huang, Y ^a,b   Schorghofer, N ^a   Ching, E S C ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034597452     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2000-00108-7     Document Type: Article

References (13)

1. For a review see: AREF H., Annu. Rev. Fluid Mech., 15 (1983) 345.
2. BAJER K. and MOFFATT H., J. Fluid Mech., 212 (1990) 337.
3. STONE H., NADIM A. and STROGATZ S., J. Fluid Mech., 222 (1991) 629.
4. SHI C., HUANG Y., ZHU Z., SHU W. and DENG Y., Chin. Phys. Lett., 9 (1992) 515.
5. KROUJILINE D. and STONE H., Physica D, 130 (1999) 105.
6. See also: NOVIKOV E., Phys. Fluids, 28 (1985) 2921; BAGRETS A. and BAGRETS D., Chaos, 7 (1997) 368; NEISHTADT A., VAINSHTEIN D. and VASILIEV A., Physica D, 111 (1998) 227.
7. See also: NOVIKOV E., Phys. Fluids, 28 (1985) 2921; BAGRETS A. and BAGRETS D., Chaos, 7 (1997) 368; NEISHTADT A., VAINSHTEIN D. and VASILIEV A., Physica D, 111 (1998) 227.
8. See also: NOVIKOV E., Phys. Fluids, 28 (1985) 2921; BAGRETS A. and BAGRETS D., Chaos, 7 (1997) 368; NEISHTADT A., VAINSHTEIN D. and VASILIEV A., Physica D, 111 (1998) 227.
9. SHARIFF K. and LEONARD A., Annu. Rev. Fluid Mech., 24 (1992) 235.
10. LAMB H., Hydrodynamics, sixth edition (Dover, New York) 1932.
11. CHING E., HUANG Y. and SCHORGHOFER N., Regular and chaotic streamlines of two vortex rings, preprint (1999).
12. PENTEK A., TEL T. and TOROCZKAI Z., Int. J. Bifurcat. Chaos, 6 (1996) 2619.
13. WIGGINS S., Global Bifurcations and Chaos: Analytical Methods (Springer, New York) 1988.