Periodic orbit theory of strongly anomalous transport

Journal of Physics A: Mathematical and General

Volumn 37, Issue 1, 2004, Pages 85-103

  Artuso, Roberte ^a,b   Cristadoro, Giampaolo ^b  

^a Center for Nonlinear and Complex Systems   (Italy)

^b INFN SEZIONE DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346040517     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/1/006     Document Type: Article

References (47)

1. Geisel T and Nierwetberg J 1982 Phys. Rev. Lett. 48 7 Shell M, Fraser S and Kapral R 1982 Phys. Rev. A 26 504
2. Geisel T and Nierwetberg J 1982 Phys. Rev. Lett. 48 7 Shell M, Fraser S and Kapral R 1982 Phys. Rev. A 26 504
3. Chirikov B V 1979 Phys. Rep. 52 264 Rechester A B and White R B 1980 Phys. Rev. Lett. 44 1586
4. Chirikov B V 1979 Phys. Rep. 52 264 Rechester A B and White R B 1980 Phys. Rev. Lett. 44 1586
5. Lorentz H A 1905 Proc. R. Acad. Sci. Amsterdam 7 438 Hauge E H 1974 Lecture Notes in Physics vol 31 p 337 Gallavotti G 1975 Lecture Notes in Physics vol 38 p 236 Bunimovich L A and Sinai Ya G 1981 Commun. Math. Phys. 78 479
6. Lorentz H A 1905 Proc. R. Acad. Sci. Amsterdam 7 438 Hauge E H 1974 Lecture Notes in Physics vol 31 p 337 Gallavotti G 1975 Lecture Notes in Physics vol 38 p 236 Bunimovich L A and Sinai Ya G 1981 Commun. Math. Phys. 78 479
7. Lorentz H A 1905 Proc. R. Acad. Sci. Amsterdam 7 438 Hauge E H 1974 Lecture Notes in Physics vol 31 p 337 Gallavotti G 1975 Lecture Notes in Physics vol 38 p 236 Bunimovich L A and Sinai Ya G 1981 Commun. Math. Phys. 78 479
8. Lorentz H A 1905 Proc. R. Acad. Sci. Amsterdam 7 438 Hauge E H 1974 Lecture Notes in Physics vol 31 p 337 Gallavotti G 1975 Lecture Notes in Physics vol 38 p 236 Bunimovich L A and Sinai Ya G 1981 Commun. Math. Phys. 78 479
9. Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 325 Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 361 Cvitanović P, Artuso R, Dahlqvist P, Mainieri R, Tanner G, Vattay G, Whelan N and Wirzba A 2003 Chaos: Classical and Quantum www.nbi.dk/ChaosBook
10. Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 325 Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 361 Cvitanović P, Artuso R, Dahlqvist P, Mainieri R, Tanner G, Vattay G, Whelan N and Wirzba A 2003 Chaos: Classical and Quantum www.nbi.dk/ChaosBook
11. Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 325 Artuso R, Aurell E and Cvitanović P 1990 Nonlinearity 3 361 Cvitanović P, Artuso R, Dahlqvist P, Mainieri R, Tanner G, Vattay G, Whelan N and Wirzba A 2003 Chaos: Classical and Quantum www.nbi.dk/ChaosBook
12. Artuso R 1991 Phys. Lett. A 160 528
13. Cvitanović P, Gaspard P and Schreiber T 1992 Chaos 2 85 Cvitanović P, Eckmann J-P and Gaspard P 1995 Chaos Solitons Fractals 6 113
14. Cvitanović P, Gaspard P and Schreiber T 1992 Chaos 2 85 Cvitanović P, Eckmann J-P and Gaspard P 1995 Chaos Solitons Fractals 6 113
15. Artuso R and Strepparava R 1997 Phys. Lett. A 236 469
16. Geisel T and Thomae S 1984 Phys. Rev. Lett. 52 1936 Geisel T, Nierwetberg J and Zacherl A 1985 Phys. Rev. Lett. 54 616
17. Geisel T and Thomae S 1984 Phys. Rev. Lett. 52 1936 Geisel T, Nierwetberg J and Zacherl A 1985 Phys. Rev. Lett. 54 616
18. Benkadda S, Kassibrakis S, White R B and Zaslavsky G M 1997 Phys. Rev. E 55 4909
19. Bunimovich L A 1985 Sov. Phys.-JETP 62 842 Bleher P M 1992 J. Stat. Phys. 66 315 Dahlqvist P 1996 J. Stat. Phys. 84 773
20. Bunimovich L A 1985 Sov. Phys.-JETP 62 842 Bleher P M 1992 J. Stat. Phys. 66 315 Dahlqvist P 1996 J. Stat. Phys. 84 773
21. Bunimovich L A 1985 Sov. Phys.-JETP 62 842 Bleher P M 1992 J. Stat. Phys. 66 315 Dahlqvist P 1996 J. Stat. Phys. 84 773
22. See, for instance, Hoover W G 1991 Computational Statistical Mechanics (Amsterdam: Elsevier)
23. Castiglione P, Mazzino A, Muratore-Ginanneschi P and Vulpiani A 1999 Physica D 134 75
24. Artuso R and Cristadoro G 2003 Phys. Rev. Lett. 90 244101
25. Baladi V 2000 Positive Transfer Operators and Decay of Correlations (Singapore: World Scientific)
26. Pikovsky A S 1991 Phys. Rev. A 43 3146
27. Armstead D, Hunt B and Oft E 2003 Phys. Rev. E 67 021110 Armstead D, Hunt B and Ott E 2002 Phys. Rev. Lett. 89 284101
28. Armstead D, Hunt B and Oft E 2003 Phys. Rev. E 67 021110 Armstead D, Hunt B and Ott E 2002 Phys. Rev. Lett. 89 284101
29. Klages R and Dorfman J R 1995 Phys. Rev. Lett. 74 387
30. Gallavotti G 1977 Rend. Accad. Naz. Lincei 51 509
31. Artuso R, Cvitanovic P and Tanner G 2003 Cycle expansions for intermittent maps Prog. Theor. Phys. Suppl. at press
32. Dahlqvist P 1999 Phys. Rev. E 60 6639 Dahlqvist P and Artuso R 1996 Phys. Lett. A 219 212 Dahlqvist P 1997 Nonlinearity 10 159
33. Dahlqvist P 1999 Phys. Rev. E 60 6639 Dahlqvist P and Artuso R 1996 Phys. Lett. A 219 212 Dahlqvist P 1997 Nonlinearity 10 159
34. Dahlqvist P 1999 Phys. Rev. E 60 6639 Dahlqvist P and Artuso R 1996 Phys. Lett. A 219 212 Dahlqvist P 1997 Nonlinearity 10 159
35. Prellberg T 2003 J. Phys. A: Math. Gen. 36 2455-61
36. Isola S 2002 Nonlinearity 15 1521
37. Artuso R, Casati G and Lombardi R 1993 Phys. Rev. Lett. 71 62
38. Halsey T C, Jensen M H, Kadanoff L P, Procaccia I and Shraiman B I 1986 Phys. Rev. A 33 1141
39. Feigenbaum M J 1987 J. Stat. Phys. 46 919
40. Artuso R, Cvitanovic P and Kenny B 1989 Phys. Rev. A 39 268
41. Manneville P and Pomeau Y 1979 Phys. Lett. A 75 1 Manneville P and Pomeau Y 1980 Commun. Math. Phys. 74 189
42. Manneville P and Pomeau Y 1979 Phys. Lett. A 75 1 Manneville P and Pomeau Y 1980 Commun. Math. Phys. 74 189
43. Gaspard P and Wang X-J 1988 Proc. Natl. Acad. Sci. USA 85 4591 Wang X-J 1989 Phys. Rev. A 40 6647
44. Gaspard P and Wang X-J 1988 Proc. Natl. Acad. Sci. USA 85 4591 Wang X-J 1989 Phys. Rev. A 40 6647
45. Isola S 1995 Dynamical zeta functions for non-uniformly hyperbolic transformations Preprint mp-arc 95-142
46. Campanino M and Isola S 1996 Forum Math. 8 71
47. Artuso R and Prampolini A 1998 Phys. Lett. A 246 407