Universal mechanism for the intermittent route to strange nonchaotic attractors in quasiperiodically forced systems

Journal of Physics A: Mathematical and General

Volumn 37, Issue 25, 2004, Pages 6477-6489

  Kim, Sang Yoon ^a   Lim, Woochang ^a  

^a Kangwon National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042775732     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/25/004     Document Type: Article

References (41)

1. Prasad A, Negi S S and Ramaswamy R 2001 Int. J. Bif. Chaos 11 291
2. Grebogi C, Ott E, Pelikan S and Yorke J A 1984 Physica D 13 261
3. Romeiras F J and Ott E 1987 Phys. Rev. A 35 4404 Ding M, Grebogi C and Ott E 1989 Phys. Rev. A 39 2593
4. Romeiras F J and Ott E 1987 Phys. Rev. A 35 4404 Ding M, Grebogi C and Ott E 1989 Phys. Rev. A 39 2593
5. Kapitaniak T, Ponce E and Wojewoda T 1990 J. Phys. A 23 L383
6. Heagy J F and Hammel S M 1994 Physica D 70 140
7. Pikovsky A S and Feudel U 1995 Chaos 5 253 (see equations (11)-(14) for the definition of the phase sensitivity exponent δ)
8. Sosnovtseva O, Feudel U, Kurths J and Pikovsky A 1996 Phys. Lett. A 218 255
9. Feudel U, Kurths J and Pikovsky A S 1995 Physica D 88 176 Feudel U, Grebogi C and Ott E 1997 Phys. Rep. 290 11
10. Feudel U, Kurths J and Pikovsky A S 1995 Physica D 88 176 Feudel U, Grebogi C and Ott E 1997 Phys. Rep. 290 11
11. Kuznetsov S P, Pikovsky A S and Feudel U 1995 Phys. Rev. E 51 R1629 Kuznetsov S, Feudel U and Pikovsky A 1998 Phys. Rev. E 57 1585 Kuznetsov S, Neumann E, Pikovsky A and Sataev I 2000 Phys. Rev. E 62 1995 Kuznetsov S P 2002 Phys. Rev. E 65 066209
12. Kuznetsov S P, Pikovsky A S and Feudel U 1995 Phys. Rev. E 51 R1629 Kuznetsov S, Feudel U and Pikovsky A 1998 Phys. Rev. E 57 1585 Kuznetsov S, Neumann E, Pikovsky A and Sataev I 2000 Phys. Rev. E 62 1995 Kuznetsov S P 2002 Phys. Rev. E 65 066209
13. Kuznetsov S P, Pikovsky A S and Feudel U 1995 Phys. Rev. E 51 R1629 Kuznetsov S, Feudel U and Pikovsky A 1998 Phys. Rev. E 57 1585 Kuznetsov S, Neumann E, Pikovsky A and Sataev I 2000 Phys. Rev. E 62 1995 Kuznetsov S P 2002 Phys. Rev. E 65 066209
14. Kuznetsov S P, Pikovsky A S and Feudel U 1995 Phys. Rev. E 51 R1629 Kuznetsov S, Feudel U and Pikovsky A 1998 Phys. Rev. E 57 1585 Kuznetsov S, Neumann E, Pikovsky A and Sataev I 2000 Phys. Rev. E 62 1995 Kuznetsov S P 2002 Phys. Rev. E 65 066209
15. Chastell P R, Glendinning P A and Stark J 1995 Phys. Lett. A 200 17 Osinga H, Wiersig J, Glendinning P and Feudel U 2001 Int. J. Bif. Chaos 11 3085
16. Chastell P R, Glendinning P A and Stark J 1995 Phys. Lett. A 200 17 Osinga H, Wiersig J, Glendinning P and Feudel U 2001 Int. J. Bif. Chaos 11 3085
17. Nishikawa T and Kaneko K 1996 Phys. Rev. E 54 6114
18. Yalçinkaya T and Lai Y-C 1996 Phys. Rev. Lett. 77 5039
19. Prasad A, Mehra V and Ramaswamy R 1997 Phys. Rev. Lett. 79 4127 Prasad A, Mehra V and Ramaswamy R 1998 Phys. Rev. E 57 1576
20. Prasad A, Mehra V and Ramaswamy R 1997 Phys. Rev. Lett. 79 4127 Prasad A, Mehra V and Ramaswamy R 1998 Phys. Rev. E 57 1576
21. Witt A, Feudel U and Pikovsky A 1997 Physica D 109 180
22. Venkatesan A, Lakshmanan M, Prasad A and Ramaswamy R 2000 Phys. Rev. E 61 3641 Venkatesan A and Lakshmanan M 2001 Phys. Rev. E 63 026219
23. Venkatesan A, Lakshmanan M, Prasad A and Ramaswamy R 2000 Phys. Rev. E 61 3641 Venkatesan A and Lakshmanan M 2001 Phys. Rev. E 63 026219
24. Negi S S, Prasad A and Ramaswamy R 2000 Physica D 145 1
25. Osinga H M and Feudel U 2000 Physica D 141 54
26. Hunt B R and Ott E 2001 Phys. Rev. Lett. 87 254101 Kim J-W, Kim S-Y, Hunt B and Ott E 2003 Phys. Rev. E 67 036211
27. Hunt B R and Ott E 2001 Phys. Rev. Lett. 87 254101 Kim J-W, Kim S-Y, Hunt B and Ott E 2003 Phys. Rev. E 67 036211
28. Kim S-Y, Lim W and Ott E 2003 Phys. Rev. E 67 056203
29. Ditto W L, Spano M L, Savage H T, Rauseo S N, Heagy J and Ott E 1990 Phys. Rev. Lett. 65 533 Zhou T, Moss F and Bulsara A 1992 Phys. Rev. A 45 5394 Ding W X, Deutsch H, Dinklage A and Wilke C 1997 Phys. Rev. E 55 3769 Yang T and Bilimgut K 1997 Phys. Lett. A 236 494 Bezruchko B P, Kuznetsov S P and Seleznev Y P 2000 Phys. Rev. E 62 7828
30. Ditto W L, Spano M L, Savage H T, Rauseo S N, Heagy J and Ott E 1990 Phys. Rev. Lett. 65 533 Zhou T, Moss F and Bulsara A 1992 Phys. Rev. A 45 5394 Ding W X, Deutsch H, Dinklage A and Wilke C 1997 Phys. Rev. E 55 3769 Yang T and Bilimgut K 1997 Phys. Lett. A 236 494 Bezruchko B P, Kuznetsov S P and Seleznev Y P 2000 Phys. Rev. E 62 7828
31. Ditto W L, Spano M L, Savage H T, Rauseo S N, Heagy J and Ott E 1990 Phys. Rev. Lett. 65 533 Zhou T, Moss F and Bulsara A 1992 Phys. Rev. A 45 5394 Ding W X, Deutsch H, Dinklage A and Wilke C 1997 Phys. Rev. E 55 3769 Yang T and Bilimgut K 1997 Phys. Lett. A 236 494 Bezruchko B P, Kuznetsov S P and Seleznev Y P 2000 Phys. Rev. E 62 7828
32. Ditto W L, Spano M L, Savage H T, Rauseo S N, Heagy J and Ott E 1990 Phys. Rev. Lett. 65 533 Zhou T, Moss F and Bulsara A 1992 Phys. Rev. A 45 5394 Ding W X, Deutsch H, Dinklage A and Wilke C 1997 Phys. Rev. E 55 3769 Yang T and Bilimgut K 1997 Phys. Lett. A 236 494 Bezruchko B P, Kuznetsov S P and Seleznev Y P 2000 Phys. Rev. E 62 7828
33. Ditto W L, Spano M L, Savage H T, Rauseo S N, Heagy J and Ott E 1990 Phys. Rev. Lett. 65 533 Zhou T, Moss F and Bulsara A 1992 Phys. Rev. A 45 5394 Ding W X, Deutsch H, Dinklage A and Wilke C 1997 Phys. Rev. E 55 3769 Yang T and Bilimgut K 1997 Phys. Lett. A 236 494 Bezruchko B P, Kuznetsov S P and Seleznev Y P 2000 Phys. Rev. E 62 7828
34. Bondeson A, Ott E and Antonsen T M 1985 Phys. Rev. Lett. 55 2103 Ketoja J A and Satija I I 1997 Physica D 109 70
35. Bondeson A, Ott E and Antonsen T M 1985 Phys. Rev. Lett. 55 2103 Ketoja J A and Satija I I 1997 Physica D 109 70
36. Zhou C-S and Chen T-L 1997 Europhys. Lett. 38 261 Ramaswamy R 1997 Phys. Rev. E 56 7294
37. Zhou C-S and Chen T-L 1997 Europhys. Lett. 38 261 Ramaswamy R 1997 Phys. Rev. E 56 7294
38. Bohr T, Bak P and Jensen M H 1984 Phys. Rev. A 30 1970
39. Toda M 1975 Phys. Rep. 18 1
40. Klinker T, Meyer-Ilse W and Lauterborn W 1984 Phys. Lett. A 101 371 Kurz T and Lauterborn W 1988 Phys. Rev. A 37 1029
41. Klinker T, Meyer-Ilse W and Lauterborn W 1984 Phys. Lett. A 101 371 Kurz T and Lauterborn W 1988 Phys. Rev. A 37 1029