The averaging method for perturbations of mixing flows

Ergodic Theory and Dynamical Systems

Volumn 17, Issue 6, 1997, Pages 1339-1358

  Dumas, H Scott ^a   Golse, François ^b,c  

^a UNIVERSITY OF CINCINNATI   (United States)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

^c UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031322931     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385797097654     Document Type: Article

References (22)

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3. V. I. Arnold. Conditions for the applicability, and estimate of the error, of an averaging method for systems which pass through states of resonance in the course of their evolution. Dokl. Akad. Nauk. 161(1) (1965), 331-334. English transl. Soviet Math. Doklady 6(2) (1965), 581-585.
4. V. I. Arnold. Conditions for the applicability, and estimate of the error, of an averaging method for systems which pass through states of resonance in the course of their evolution. Dokl. Akad. Nauk. 161(1) (1965), 331-334. English transl. Soviet Math. Doklady 6(2) (1965), 581-585.
5. V. I. Arnold. Mathematical Methods of Classical Mechanics. Springer, New York, 1980 (translated from Russian).
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9. H. S. Dumas. A new proof of Anosov's averaging theorem. Hamiltonian Dynamical Systems (IMA Volumes in Mathematics and its Applications, Vol. 63). Eds. H. S. Dumas, K. R. Meyer and D. S. Schmidt. Springer, New York, 1995, pp. 127-136.
10. H. S. Dumas, F. Golse and P. Lochak. Multiphase averaging for generalized flows on manifolds. Ergod. Th. & Dynam. Sys. 14 (1994), 53-67.
11. M. I. Freidlin and A. D. Wentzell. Random Perturbations of Dynamical Systems. Springer, New York, 1984 (translated from Russian).
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14. A. I. Neishtadt. Averaging in multi-frequency systems. Dokl. Akad. Nauk. SSSR Mechanics 223(2) (1975), 314-317. English transl. Soviet Phys. Dokl. 20(7) (1975), 492-494.
15. A. I. Neishtadt. Averaging in multi-frequency systems. Dokl. Akad. Nauk. SSSR Mechanics 223(2) (1975), 314-317. English transl. Soviet Phys. Dokl. 20(7) (1975), 492-494.
16. A. I. Neishtadt. Averaging in multi-frequency systems II. Dokl. Akad. Nauk. SSSR Mechanics 226(6) (1976), 1295-1298. English transl. Soviet Phys. Dokl. 21(2) (1976), 80-82.
17. A. I. Neishtadt. Averaging in multi-frequency systems II. Dokl. Akad. Nauk. SSSR Mechanics 226(6) (1976), 1295-1298. English transl. Soviet Phys. Dokl. 21(2) (1976), 80-82.
18. D. Ornstein and B. Weiss. Geodesic flows are Bernoullian. Israel J. Math. 14 (1973), 184-198.
19. M. Ratner. Markov partitions for Anosov flows on n-dimensional manifolds. Israel J. Math. 15 (1973), 92-114.
20. M. Ratner. The central limit theorem for geodesic flows on n-dimensional manifolds of negative curvature. Israel J. Math. 16 (1973), 181-197.
21. M. Ratner. Anosov flows with Gibbs measures are also Bernoullian. Israel J. Math. 17 (1974), 380-391.
22. M. Ratner. The rate of mixing for geodesic and horocycle flows. Ergod. Th. & Dynam. Sys. 7 (1987), 267-288.