Invariant tori and chaotic streamlines in the ABC flow

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 237, Issue 3, 1998, Pages 136-140

  Huang, De Bin ^a,c   Zhao, Xiao Hua ^a   Dai, Hui Hui ^b  

^a YUNNAN UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c SHANGHAI UNIVERSITY   (China)

Author keywords

ABC flow; Action angle angle; Chaos; Invariant tori; Melnikov method

Indexed keywords

CHAOS THEORY;

ABC FLOW; ACTION ANGLES; ANGLE COORDINATES; FLUID PARTICLE MOTIONS; HIGH-DIMENSIONAL; INVARIANT TORI; MELNIKOV METHOD; VOLUME-PRESERVING;

DYNAMICAL SYSTEMS;

EID: 0042285417     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00789-5     Document Type: Article

References (12)

1. V.I. Arnold, Sur la topologie des ecoulements stationaires des fluides parfaits, C.R. Acad. Sci. Paris 261 (1965) 17.
2. D.J. Galloway, U. Frisch, J. Fluid Mech. 180 (1987) 557.
3. V.I. Arnold, Mathematical Methods of Classical Mechanics (Springer, New York, 1978).
4. M. Hénon, Sur la topologie des lignes de courant dans un cas particulier, C.R. Acad. Sci. Paris 262 (1966) 312.
5. T. Domber, U. Frisch, J.M. Greene, M. Hénon, A. Mehr, A.M. Soward, J. Fluid Mech. 167 (1986) 353.
6. X.H. Zhao, K.H. Kwek, J.B. Li, K.L. Huang, SIAM J. Appl. Math. 53 (1993) 71.
7. J. Meize, S. Wiggins, J. Nonlinear Sci. 4 (1994) 157.
8. C.Q. Cheng, Y.S. Sun, Celestical Mech. 47 (1990) 275.
9. S. Wiggins, Global Bifurcations and Chaos: Analytical Methods (Springer, New York, 1988).
10. J. Guchenheimer, P. Holmes, Nonlinear Oscillaton, Dynamical systems and Bifurcations of vector fields (Springer, New York, 1983).
11. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, New York, 1990).
12. J.C. Yoccoz, T-Oravaux de Herman sur les tores invariants, Asterisque 206 (1992) 311.