Near threshold anomalous transport in the standard map

Chaos

Volumn 8, Issue 4, 1998, Pages 757-767

  White, R B ^a   Benkadda, S ^b   Kassibrakis, S ^b   Zaslavsky, G M ^c,d  

^a PRINCETON PLASMA PHYSICS LABORATORY   (United States)

^b AIX MARSEILLE UNIVERSITÉ   (France)

^c NEW YORK UNIVERSITY   (United States)

^d POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001542986     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166361     Document Type: Article

References (35)

1. C. C. F. Karney, Physica D 8, 360 (1983).
2. V. V. Beloshapkin and G. M. Zaslavsky, Phys. Lett. A 97, 121 (1983).
3. G. Zumofen and J. Klafter, Europhys. Lett. 25, 565 (1994).
4. G. M. Zaslavsky, M. Edelman, and B. A. Niyazov, Chaos 7, 159 (1997).
5. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Phys. Rev. Lett. 71, 3975 (1993).
6. E. R. Weeks, J. S. Urbach, and H. L. Swinney, Physica D 97, 291 (1996).
7. S. C. Venkataramani, T. M. Antonson, and E. Ott, Phys. Rev. Lett. 78, 3864 (1997).
8. M. Shlesinger, G. Zaslavsky, and J. Klafter, Nature (London) 363, 31 (1993).
9. G. M. Zaslavsky, D. Stevens, and H. Weitzner, Phys. Rev. E 48, 1683 (1993).
10. G. M. Zaslavsky, Chaos 4, 25 (1994).
11. J. C. Hamilton, Phys. Rev. Lett. 77, 885 (1996).
12. M. Weiss and F. Elmer, Phys. Rev. B 53, 7539 (1996).
13. J. D. Meiss and E. Ott, Physica D 20, 387 (1986).
14. Y. C. Lai, C. Grebogi, R. Blumel, and M. Ding, Phys. Rev. A 45, 8284 (1992).
15. S. Y. Kim and B. Hu, Phys. Rev. A 44, 934 (1991).
16. B. Hu and J. Shi, Physica D 71, 23 (1994).
17. S. Benkadda, S. Kassibrakis, R. B. White, and G. M. Zaslavsky, Phys. Rev. E 55, 4909 (1997).
18. B. V. Chirikov, Phys. Rep. 52, 264 (1979).
19. J. M. Greene, J. Math. Phys. 20, 1183 (1979).
20. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 98, 527 (1954).
21. V. I. Arnold, Russian Math. Surveys 18, 85 (1964).
22. J. Moser, Nachr. Akad. Wiss. Goett. II, Math.-Phys. Kl. 1, 1 (1962).
23. A. B. Rechester and R. B. White, Phys. Rev. Lett. 42, 1247 (1979).
24. A. B. Rechester, M. N. Rosenbluth, and R. B. White, Phys. Rev. A 23, 2644 (1981).
25. A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1983), p. 293.
26. J. D. Meiss, J. R. Cary, C. Grebogi, J. D. Crawford, A. N. Kaufman, and H. D. I. Abarbanel, Physica D 6, 375 (1983).
27. I. Dana, N. Murray, and I. Percival, Phys. Rev. Lett. 62, 233 (1989).
28. B. V. Chirikov, Lecture Notes in Physics No. 179 (Springer, Berlin 1983).
29. J. D. Hanson, J. R. Cary, and J. D. Meiss, Phys. Rev. A 34, 2375 (1986).
30. J. D. Meiss and E. Ott, Physica D 20, 387 (1986).
31. R. B. White, J. M. Rax, and Y. Wu, in Statistical Description of Transport in Plasma, Astro-, and Nuclear Physics, edited by J. Misguich and G. Pelletier (Nova, New York, 1993).
32. R. B. White, J. M. Rax, Y. Wu, M. N. Bussac, and L. Zuppiroli, in Transport, Chaos, and Plasma Physics, edited by S. Benkadda, F. Doveil, and Y. Elskens (World Scientific, Singapore, 1994), p. 153.
33. G. M. Zaslavsky, Physica D 76, 110 (1994).
34. G. M. Zaslavsky and B. A. Niyazov, Phys. Rep. (to be published).
35. E. W. Montroll and M. F. Shlesinger, in Studies in Statistical Mechanics, edited by J. Lebowitz and E. W. Montroll (North-Holland, Amsterdam, 1984), Vol. II, p. 1.