Weak mixing and anomalous kinetics along filamented surfaces

Chaos

Volumn 11, Issue 2, 2001, Pages 295-305

  Zaslavsky, G M ^a,b   Edelman, M ^a  

^a NEW YORK UNIVERSITY   (United States)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035379532     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1355358     Document Type: Article

References (36)

1. V. V. Kozlov, Symmetries, Topology, and Resonances in Hamiltonian Mechanics (Springer-Verlag, Berlin, 1996).
2. I. P. Cornfeld, S. V. Fomin, and Ya. G. Sinai, Ergodic Theory (Springer-Verlag, New York, 1982).
3. A. Katok and B. Hassenblatt, Introduction to the Modern Theory of Dynamical Systems (Cambridge University Press, Cambridge, 1995).
4. A. I. Morozov and L. S. Soloviev, "The structure of magnetic fields," in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1966), Vol. 2, p. 1.
5. H. K. Moffatt, "Relaxation under topological constraints," in Topological Aspects of the Dynamics of Fluids and Plasmas, edited by H. K. Moffatt, G. M. Zaslavsky, P. Comte, and M. Tabor (Kluwer, Dordrecht, 1992), p. 3.
6. E. Gutkin, Physica D 19, 311 (1986); J. Stat. Phys. 83, 7 (1996).
7. E. Gutkin, Physica D 19, 311 (1986); J. Stat. Phys. 83, 7 (1996).
8. A. Zorich, Ergodic Theory Dynam. Sys. 17, 1477 (1997).
9. P. J. Richens and M. V. Berry, Physica D 2, 495 (1981).
10. R. Artuso, I. Guarneri, and L. Rebuzzini, Chaos 10, 189 (2000); R. Artuso, G. Casati, and I. Guarneri, Phys. Rev. E 55, 6384 (1997).
11. R. Artuso, I. Guarneri, and L. Rebuzzini, Chaos 10, 189 (2000); R. Artuso, G. Casati, and I. Guarneri, Phys. Rev. E 55, 6384 (1997).
12. S. G. Cox and G. J. Ackland, Phys. Rev. E 84, 2362 (2000).
13. G. M. Zaslavsky, Chaos 4, 25 (1994); Physica D 76, 110 (1994); see also Ref. 1, p. 481.
14. G. M. Zaslavsky, Chaos 4, 25 (1994); Physica D 76, 110 (1994); see also Ref. 1, p. 481.
15. A. I. Saichev and G. M. Zaslavsky, Chaos 7, 753 (1997).
16. G. M. Zaslavsky, "Fractional kinetics of Hamiltonian chaotic systems," in Applications of Fractional Calculus in Physics, edited by R. Hilfer (World Scientific, Singapore, 2000), p. 203.
17. E. Gutkin and A. Katok, "Weakly mixing billiards," in Holomorphic Dynamics, Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1989), Vol. 1345, p. 163.
18. A. Katok, Commun. Math. Phys. 111, 151 (1987).
19. M. Kac, Probability and Related Topics in Physical Sciences (Wiley Interscience, New York, 1958).
20. A. Ya. Khinchin, Continued Fractions (University of Chicago Press, Chicago, 1964).
21. P. Lévy, Theorie de l'Addition des Variables Aletoires (Gauthier-Villiers, Paris, 1937).
22. G. M. Zaslavsky and M. Edelman, Phys. Rev. E 56, 5310 (1997).
23. G. M. Zaslavsky, M. Edelman, and B. Niyazov, Chaos 7, 159 (1997).
24. R. White, S. Kassibrakis, S. S. Benkadda, and G. M. Zaslavsky, Chaos 8, 757 (1998).
25. G. M. Zaslavsky and M. Edelman, Chaos 10, 135 (2000).
26. J. Meiss, Chaos 7, 139 (1997).
27. L. Kuznetsov and G. M. Zaslavsky, Phys. Rev. E 61, 3777 (2000).
28. B. A. Carreras, V. E. Lynch, D. E. Newman, and G. M. Zaslavsky, Phys. Rev. E 60, 4770 (1999).
29. S. S. Benkadda, S. Kassibrakis, R. White, and G. M. Zaslavsky, Phys. Rev. E 55, 4909 (1997).
30. B. D. Hughes, M. F. Shlesinger, and E. W. Montroll, Proc. Natl. Acad. Sci. U.S.A. 78, 3287 (1981); E. W. Montroll and M. F. Shlesinger, in Studies in Statistical Mechanics, edited by J. Lebowitz and E. Montroll (North-Holland, Amsterdam, 1984), Vol. 11, p. 1.
31. B. D. Hughes, M. F. Shlesinger, and E. W. Montroll, Proc. Natl. Acad. Sci. U.S.A. 78, 3287 (1981); E. W. Montroll and M. F. Shlesinger, in Studies in Statistical Mechanics, edited by J. Lebowitz and E. Montroll (North-Holland, Amsterdam, 1984), Vol. 11, p. 1.
32. D. Sornette, Phys. Rep. 297, 239 (1998).
33. A. Johansen and D. Sornette, J. Mod. Phys. C 9, 433 (1998); A. Johansen, D. Sornette, and A. E. Hansen, Physica D 138, 302 (2000).
34. A. Johansen and D. Sornette, J. Mod. Phys. C 9, 433 (1998); A. Johansen, D. Sornette, and A. E. Hansen, Physica D 138, 302 (2000).
35. S. S. Benkadda, S. Kassibrakis, R. White, and G. M. Zaslavsky, Phys. Rev. E 59, 3761 (1999).
36. O. Lyubomudrov (unpublished).