Uniform stochastic web in low-dimensional Hamiltonian systems

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

Volumn 225, Issue 4-6, 1997, Pages 274-286

  Pekarsky, Sergey ^a,b   Rom Kedar, Vered ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PHASE SPACE METHODS; STOCHASTIC SYSTEMS;

ARBITRARY POSITIONS; CYCLOTRON ORBITS; HAMILTONIAN SYSTEMS; RESONANCE CONDITION; SEPARATRIX SPLITTING; STOCHASTIC LAYERS; UNIFORM MAGNETIC FIELDS; WAVE-PARTICLE INTERACTIONS;

HAMILTONIANS;

EID: 17344375571     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(96)00880-8     Document Type: Article

References (31)

1. V.V. Afanasiev, A.A. Chernikov, R.Z. Sagdeev and G.M. Zaslavsky, Phys. Lett. A 144 (1990) 229.
2. C. Amick, S.C.E. Ching, L.P. Kadanoff and V. Rom-Kedar, J. Nonlinear Sci. (1992) 9.
3. V.I. Arnold, Dokl. Akad. Nauk SSSR 156, 9 (1964).
4. V.I. Arnold, Dynamical systems, Vol. III (Springer Berlin, 1988).
5. B.V. Chirikov, Phys. Rep. 52 5 (1979) 265.
6. I. Dana and M. Amit, Phys. Rev. E 51 (1995) R2731.
7. I. Dana, Phys. Rev. Lett. 73 (1994) 1609.
8. D. J.D. Earn and S. Tremaine, Physica D 56 (1992) 1.
9. E. Fontich and C. Simó, Ergod. Th. Dynam. Sys. 10 (1990) 295.
10. V.G. Gelfreich, V.F. Lazutkin and M.B. Tabanov, Chaos 1 (1991) 137.
11. M. Golubitsky, I. Stewart and J. Marsden, Physica D 24 (1987) 391.
12. C. Grebogi, S. M. Hammel, J. A. Yorke and Tim Sauer, Phys. Rev. Lett. 65 (1990) 1527.
13. S. M. Hammel, J. A. Yorke and C. Grebogi, Bull. Am. Math. Soc. 19 (1988) 465.
14. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 119, 861 (1958); 124, 754 (1959).
15. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 119, 861 (1958); 124, 754 (1959).
16. V.F. Lazutkin, I.G. Schachmannski and M.B. Tabanov, Physica D 40 (1989) 235.
17. A. Lichtenberg and M. Lieberman, Regular and stochastic motion (Springer, Berlin, 1983).
18. A. J. Lichtenberg and B. P. Wood, Phys. Rev. A 39 (1989) 2153.
19. J.H. Lowenstein, Chaos 2 (1992) 413.
20. J.D. Meiss, Average exit time for volume preserving maps, to appear in Chaos.
21. V.K. Melnikov, Dokl. Akad. Nauk SSSR 148 (1963) 1257.
22. S. Pekarsky and V. Rom-Kedar, Degeneracies and instabilities of the motion of a charged particle - the 4D web-map model, submitted preprint; S. Pekarsky, Uniform stochastic web in Hamiltonian systems, submitted M.Sc. thesis, Weizmann institute (1996).
23. F. Rannou, Astron. Astrophys. 31 (1974) 289.
24. V.Rom-Kedar and S.Wiggins, Arch. Rat. Mech. Anal. 109 (1990) 239.
25. V. Rom-Kedar, Nonlinearity 7 (1994) 441.
26. R.Z. Sagdeev and G.M. Zaslavsky, Regular and chaotic dynamics in a magnetic field, in: Nonlinear phenomena in plasma physics and hydrodynamics, ed. R.Z. Sagdeev (Mir, Moscow, 1986).
27. A. Tovbis, M. Tsuchiya and C. Jaffé, Chaos - integrability transition, exponential asymptotics and the saddle-center bifurcation of the Hénon map, preprint.
28. G.M. Zaslavsky and N.N. Filonenko, Zh. Eksp. Teor. Fiz. 54 (1968) 1590.
29. G.M. Zaslavsky, M.Yu. Zakharov, R.Z. Sagdeev, D.A. Usikov and A.A. Chernikov, Zh. Eksp. Teor. Fiz. 91 (1986) 500.
30. G.M. Zaslavsky, M.Yu. Zakharov, A.I. Neishtadt, R.Z. Sagdeev, D.A. Usikov and A.A. Chernikov, Zh. Eksp. Teor. Fiz. 96 (1989) 1563.
31. G.M. Zaslavsky, R.Z. Sagdeev, D.A. Usikov, A.A. Chernikov, Weak chaos and quasi-regular patterns (Cambridge Univ. Press, Cambridge, 1991).