Cycle expansions for intermittent diffusion

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 6, 1997, Pages 6687-6692

  Dettmann, C P ^a,b   Cvitanović, Predrag ^a,b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001584485     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.6687     Document Type: Article

References (35)

1. H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, MA, 1980)
2. V I. Arnold, Mathematical Methods in Classical Mechanics (Springer-Verlag, Berlin, 1978).
3. G C. Benettin, L. Galgani, A. Giorgilli, and J M. Strelcyn, Nuovo Cimento B79, 201 (1984).NIFBAP
4. D. Ruelle, Statistical Mechanics, Thermodynamic Formalism (Addison-Wesley, Reading, MA, 1978).
5. R. Artuso, E. Aurell, and P. Cvitanović, Nonlinearity3, 325 (1990); NONLE5
6. 3, 361 (1990).
7. P. Cvitanović et al., Niels Bohr Institute report, 1997, http://www.nbi.dk/ChaosBook/ (unpublished).
8. P. Cvitanović and B. Eckhardt, Phys. Rev. Lett.63, 823 (1989)
9. P. Gaspard and D. Alonso Ramirez, Phys. Rev. A45, 8383 (1992)
10. P. Cvitanović, P E. Rosenqvist, H H. Rugh, and G. Vattay, Chaos3, 619 (1993).CHAOEH
11. D. Wintgen, K. Richter, and G. Tanner, Chaos2, 19 (1992).CHAOEH
12. P. Dahlqvist, Nonlinearity8, 11 (1995); NONLE5
13. 10, 159 (1997)
14. J. Stat. Phys.84, 773 (1996)
15. J. Phys. A30, L351 (1997); JPHAC5
16. G. Tanner and D. Wintgen, Phys. Rev. Lett.75, 2928 (1995).PRLTAO
17. C P. Dettmann and G P. Morriss, Phys. Rev. Lett.78, 4201 (1997).PRLTAO
18. P. Dahlqvist and G. Russberg, J. Phys. A24, 4763 (1991).JPHAC5
19. D. Auerbach, P. Cvitanović, J.-P. Eckmann, G H. Gunaratne, and I. Procaccia, Phys. Rev. Lett.58, 2387 (1987).PRLTAO
20. G P. Morriss and L. Rondoni, J. Stat. Phys.75, 553 (1994).JSTPBS
21. Y. Pomeau and P. Manneville, Commun. Math. Phys.74, 189 (1980).CMPHAY
22. P. Gaspard and X.-J. Wang, Proc. Natl. Acad. Sci. USA85, 4591 (1988); PNASA6
23. X.-J. Wang, Phys. Rev. A40, 6647 (1989).PLRAAN
24. P. Cvitanović, in Non-Linear Evolution and Chaotic Phenomena, edited by P. Zweifel, G. Gallavotti, and M. Anile (Plenum, New York, 1987)
25. R. Artuso, P. Cvitanović, and B G. Kenny, Phys. Rev. A39, 268 (1989).PLRAAN
26. T. Geisel and S. Thomae, Phys. Rev. Lett.52, 1936 (1984)
27. T. Geisel, J. Nierwetberg, and A. Zacherl, Phys. Rev. Lett.54, 616 (1985).PRLTAO
28. R. Artuso, Phys. Lett. A160, 528 (1991).PYLAAG
29. R. Artuso, G. Casati, and R. Lombardi, Phys. Rev. Lett.71, 62 (1993).PRLTAO
30. W N. Vance, Phys. Rev. Lett.69, 1356 (1992)
31. P. Cvitanović, J.-P. Eckmann, and P. Gaspard, Chaos Solitons Fractals6, 113 (1995)
32. P. Cvitanović, P. Gaspard, and T. Schreiber, Chaos2, 85 (1992).CHAOEH
33. W. Parry and M. Pollicott, Ann. Math.118, 573 (1983).ANMAAH
34. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge University, Cambridge, 1992), p. 166.
35. S. F. Nielsen, Master’s thesis, University of Copenhagen, 1997 (unpublished), available on http://www.nbi.dk/ChaosBook/.