Julia sets and chaotic tunneling: II

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 26, 2009, Pages

  Shudo, Akira ^a   Ishii, Yutaka ^b   Ikeda, Kensuke S ^c  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b KYUSHU UNIVERSITY   (Japan)

^c RITSUMEIKAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449490050     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/26/265102     Document Type: Article

References (35)

1. Shudo A, Ishii Y and Ikeda K S 2009 J. Phys. A: Math. Theor. 45 265101
2. Shudo A and Ikeda K S 1995 Phys. Rev. Lett. 74 682
3. Shudo A and Ikeda K S 1998 Physica D 115 234
4. Onishi T, Shudo A, Ikeda K S and Takahashi K 2001 Phys. Rev. E 64 025201
5. Shudo A, Ishii Y and Ikeda K S 2002 J. Phys. A: Math. Gen. 35 L225
6. Shudo A, Ishii Y and Ikeda K S 2008 Europhys. Lett. 81 50003
7. Bedford E and Smillie J 1991 Invent. Math. 103 69
8. Bedford E and Smillie J 1991 J. Am. Math. Soc. 4 657
9. Bedford E and Smillie J 1992 Math. Ann. 294 395
10. Bedford E, Lyubich E and Smillie J 1993 Invent. Math. 112 77
11. Katok A 1980 Publ. Math. L'IHS 51 137
12. Fornæss J E and Sibony N 1992 Duke Math. J. 65 345
13. Bedford E and Smillie J 1992 Ann. Math. 160 1
14. Sterling D, Dullin H R and Meiss J D 1999 Physica D 134 153
15. Shudo A and Ikeda K S submitted
16. Davis M J, MacKay R S and Sannami A 1991 Physica D 52 171
17. Arai Z 2007 Exp. Math. 16 181
18. Shudo A and Ikeda K S submitted
19. Smith G C and Creagh S C 2006 J. Phys. A: Math. Gen. 39 8283
20. Lazutkin V F and Simo C 1997 Int. J. Bifurcation Chaos Appl. Sci. Eng. 2 253
21. Takahashi K and Ikeda K S 2001 Found. Phys. 31 177
22. Takahashi K, Yoshimoto A and Ikeda K S 2002 Phys. Lett. 297 370
23. Takahashi K and Ikeda K S 2003 J. Phys. A: Math. Gen. 36 7953
24. Takahashi K and Ikeda K S 2005 Europhys. Lett. 71 193
25. Takahashi K and Ikeda K S 2008 J. Phys. A: Math. Theor. 41 095101
26. Morosawa S, Nishimura Y, Taniguchi M and Ueda T 1999 Holomorphic Dynamics (Cambridge: Cambridge University Press)
27. Greene J M and Percival I C 1982 Physica D 3 540
28. Percival I C 1982 Physica D 6 67
29. Creagh S C 1998 Tunneling in Complex Systems ed S Tomsovic (Singapore: World Scientific) p 35
30. Brodier O, Schlagheck P and Ullmo D 2001 Phys. Rev. Lett. 87 064101
31. Brodier O, Schlagheck P and Ullmo D 2002 Ann. Phys., NY 300 88
32. Berretti A and Chierchaia L 1990 Nonlinearity 3 39
33. Berretti A and Marmi S 1992 Phys. Rev. Lett. 68 1443
34. Berretti A, Celletti A, Chierchaia L and Falcolini C 1992 J. Stat. Phys. 66 1613
35. Shiromoto R, Shudo A and Ikeda K S in preparation