Are generalized synchronization and noise-induced synchronization identical types of synchronous behavior of chaotic oscillators?

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 354, Issue 5-6, 2006, Pages 423-427

  Hramov, Alexander E ^a   Koronovskii, Alexey A ^a   Moskalenko, Olga I ^a  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

Author keywords

Chaotic synchronization; Coupled oscillators; Generalized synchronization; Noise induced synchronization

Indexed keywords

CHAOTIC SYSTEMS; CIRCUIT OSCILLATIONS;

CHAOTIC OSCILLATORS; CHAOTIC SYNCHRONIZATION; COUPLED OSCILLATORS; GENERALIZED SYNCHRONIZATION; NOISE-INDUCED SYNCHRONIZATION;

SYNCHRONIZATION;

EID: 33646512820     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.01.079     Document Type: Article

References (47)

1. Pikovsky A., Rosenblum M., and Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences (2001), Cambridge Univ. Press, Cambridge
2. Boccaletti S., Kurths J., Osipov G., Valladares D.L., and Zhou C.S. Phys. Rep. 366 (2002) 1
3. Rulkov N.F., Volkovskii A.R., Rodriguez-Lozano A., Del Rio E., and Velarde M.G. Chaos Solitons Fractals 4 (1994) 201
4. Pecora L.M., Carroll T.L., Jonson G.A., and Mar D.J. Chaos 7 4 (1997) 520
5. Schafer C., Rosenblum M.G., Kurths J., and Abel H.-H. Nature 392 (1998) 239
6. Rulkov N.F., Vorontsov M.A., and Illing L. Phys. Rev. Lett. 89 27 (2002) 277905
7. Boccaletti S., Pecora L.M., and Pelaez A. Phys. Rev. E 63 (2001) 066219
8. Brown R., and Kocarev L. Chaos 10 2 (2000) 344
9. Hramov A.E., and Koronovskii A.A. Chaos 14 3 (2004) 603
10. Hramov A.E., Koronovskii A.A., Kurovskaya M.K., and Moskalenko O.I. Phys. Rev. E 71 5 (2005) 056204
11. Rulkov N.F., Sushchik M.M., Tsimring L.S., and Abarbanel H.D.I. Phys. Rev. E 51 2 (1995) 980
12. Pyragas K. Phys. Rev. E 54 5 (1996) R4508
13. Kocarev L., and Parlitz U. Phys. Rev. Lett. 76 11 (1996) 1816
14. Abarbanel H.D.I., Rulkov N.F., and Sushchik M.M. Phys. Rev. E 53 5 (1996) 4528
15. Parlitz U., Junge L., Lauterborn W., and Kocarev L. Phys. Rev. E 54 2 (1996) 2115
16. Zheng Z., and Hu G. Phys. Rev. E 62 6 (2000) 7882
17. Guan S., Lai C.-H., and Wei G.W. Phys. Rev. E 71 3 (2005) 036209
18. Fahy S., and Hamann D.R. Phys. Rev. Lett. 69 5 (1992) 761
19. Maritan A., and Banavar J.R. Phys. Rev. Lett. 72 10 (1994) 1451
20. Kaulakys B., and Vektaris G. Phys. Rev. E 52 2 (1995) 2091
21. Chen Y.Y. Phys. Rev. Lett. 77 21 (1996) 4318
22. Khoury P., Lieberman M.A., and Lichtenberg A.J. Phys. Rev. E 54 4 (1996) 3377
23. Ali M.K. Phys. Rev. E 55 4 (1997) 4804
24. Khoury P., Lieberman M.A., and Lichtenberg A.J. Phys. Rev. E 57 5 (1998) 5448
25. Shuai J.W., and Wong K.W. Phys. Rev. E 57 6 (1998) 7002
26. Kaulakys B., Ivanauskas F., and Meškauskas T. Int. J. Bifur. Chaos 9 3 (1999) 533
27. Toral R., Mirasso C.R., Hernández-Garsia E., and Piro O. Chaos 11 3 (2001) 665
28. Zhou C., and Kurths J. Phys. Rev. Lett. 88 (2002) 230602
29. Zhou C.S., Kurths J., Allaria E., Boccaletti S., Meucci R., and Arecchi F.T. Phys. Rev. E 67 (2003) 015205
30. Zhou C., Kurths J., and Allaria E. Phys. Rev. E 67 6 (2003) 066220
31. Zhou C.S., and Kurths J. Chaos 13 1 (2003) 401
32. Pikovsky A.S. Phys. Rev. Lett. 73 21 (1994) 2931
33. Longa L., Curado E.M.F., and Oliveira F.A. Phys. Rev. E 54 3 (1996) R2201
34. Zhou C., and Lai C.-H. Phys. Rev. E 58 4 (1998) 5188
35. Herzel H., and Freund J. Phys. Rev. E 52 3 (1995) 3238
36. Malescio G. Phys. Rev. E 53 6 (1996) 6551
37. Gade P.M., and Bassu C. Phys. Lett. A 217 1 (1996) 21
38. Sánchez E., Matias M.A., and Pérez-Muñuzuri V. Phys. Rev. E 56 4 (1997) 4068
39. Lorenzo M.N., and Pérez-Muñuzuri V. Phys. Rev. E 60 3 (1999) 2779
40. Pérez-Muñuzuri V., and Lorenzo M.N. Int. J. Bifur. Chaos 9 12 (1999) 2321
41. Minai A.A., and Anand T. Phys. Rev. E 57 2 (1998) 1559
42. Loreto V., Paladin G., and Vulpiani A. Phys. Rev. E 53 3 (1996) 2087
43. Lai C.-H., and Zhou C. Europhys. Lett. 43 4 (1998) 376
44. Minai A.A. Phys. Lett. A 251 1 (1999) 31
45. Rim S., Hwang D.-U., Kim I., and Kim C.-M. Phys. Rev. Lett. 85 11 (2000) 2304
46. Hramov A.E., and Koronovskii A.A. Phys. Rev. E 71 6 (2005) 067201
47. Hramov A.E., Koronovskii A.A., and Popov P.V. Phys. Rev. E 72 3 (2005) 037201