Hamiltonian structure of Hamiltonian chaos

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

Volumn 236, Issue 5-6, 1997, Pages 476-482

  Tang, X Z ^a,b   Boozer, A H ^b,c  

^a STONY BROOK UNIVERSITY   (United States)

^b Columbia University ^*  (United States)

^c MAX PLANCK INSTITUT FÜR PLASMAPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; FLOW FIELDS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS;

CHAOTIC TRAJECTORY; DEGREE OF FREEDOM; FINITE-TIME LYAPUNOV EXPONENT; GEOMETRICAL INFORMATIONS; HAMILTONIAN STRUCTURES; HAMILTONIAN SYSTEMS; NUMBER OF DEGREES OF FREEDOM; SPATIAL VARIATIONS;

HAMILTONIANS;

EID: 0039860791     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00797-4     Document Type: Article

References (18)

1. A.H. Boozer, Phys. Fluids 26 (1983) 1288.
2. J.R. Cary, R.G. Littlejohn, Ann. Phys. 151 (1983) 1.
3. A.N. Kolmogorov, Dokl. Akad. Nauk. SSSR 98 (1954) 527; V.I. Arnold, A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968); J. Moser, Stable and Random Motions in Dynamical Systems, Annals of Mathematical Studies 77 (Princeton University Press, Princeton, NJ, 1973).
4. A.N. Kolmogorov, Dokl. Akad. Nauk. SSSR 98 (1954) 527; V.I. Arnold, A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968); J. Moser, Stable and Random Motions in Dynamical Systems, Annals of Mathematical Studies 77 (Princeton University Press, Princeton, NJ, 1973).
5. A.N. Kolmogorov, Dokl. Akad. Nauk. SSSR 98 (1954) 527; V.I. Arnold, A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968); J. Moser, Stable and Random Motions in Dynamical Systems, Annals of Mathematical Studies 77 (Princeton University Press, Princeton, NJ, 1973).
6. D. Ruelle, Elements of Differentiable Dynamics and Bifurcation Theory (Academic Press, San Diego, CA, 1989); J.-P. Eckmann, D. Ruelle, Rev. Mod. Phys. 57 (1985) 617.
7. D. Ruelle, Elements of Differentiable Dynamics and Bifurcation Theory (Academic Press, San Diego, CA, 1989); J.-P. Eckmann, D. Ruelle, Rev. Mod. Phys. 57 (1985) 617.
8. V.I. Oseledec, Moscow Math. Soc. 19 (1968) 197.
9. Y. Aizawa, Y. Kikuchi, T. Harayama, K. Yamamoto, M. Ota, K. Tanaka, Prog. Theor. Phys., Suppl. 98 (1992) 36; S. Habib, R.D. Ryne, Phys. Rev. Lett. 74 (1995) 70.
10. Y. Aizawa, Y. Kikuchi, T. Harayama, K. Yamamoto, M. Ota, K. Tanaka, Prog. Theor. Phys., Suppl. 98 (1992) 36; S. Habib, R.D. Ryne, Phys. Rev. Lett. 74 (1995) 70.
11. X.Z. Tang, A.H. Boozer, Physica D 95 (1996) 283; Advection and diffusion in a three dimensional chaotic flow, preprint (1996).
12. A.H. Boozer, Plasma Confinement, in: Encyclopedia of Physical Science and Technology, Vol. 13 (Academic Press, New York, 1992) p. 1.
13. J.D. Meiss, Physics D 74 (1994) 254.
14. L.A. Smith, E.A. Spiegel, Strange accumulators, Chaotic Phenomena in Astrophysics, eds. J.R. Buchler, H. Eichhorn (New York Academy of Sciences, New York, 1987).
15. B.F. Schutz, Geometrical Methods of Mathematical Physics (Cambridge University Press, Cambridge, 1980).
16. X.Z. Tang, Ph.D. Dissertation, The College of William and Mary in Virginia, 1996.
17. V.I. Arnold, V.V. Kozlov, A.I. Neishtadt, Dynamical Systems III, Encyclopedia of Mathematical Sciences (Springer Verlag, New York, 1988)
18. J. Pöschel, Commun. Pure Appl. Math. 35 (1982) 653.