Characterization of the noise effect on weak synchronization

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 1 2, 2003, Pages 162171-162178

  Kim, Sang Yoon ^a,b   Lim, Woochang ^a   Jalnine, Alexei ^c   Kuznetsov, Sergey P ^c,d  

^a Kangwon National University   (South Korea)

^b UNIVERSITY OF MARYLAND   (United States)

^c SARATOV STATE UNIVERSITY   (Russian Federation)

^d INSTITUTE OF RADIO ENGINEERING AND ELECTRONICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; LYAPUNOV METHODS; PHASE SPACE METHODS; SYNCHRONIZATION; SYNCHRONOUS MACHINERY; TRAJECTORIES;

NOISE SENSITIVITY EXPONENTS (NSE); PHASE SENSITIVITY; SYNCHRONOUS CHAOTIC ATTRACTOR (SCA);

SPURIOUS SIGNAL NOISE;

EID: 0038394383     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (38)

1. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983).
2. A.S. Pikovsky, Z. Phys. B: Condens. Matter 50, 149 (1984).
3. V.S. Afraimovich, N.N. Verichev, and M.I. Rabinovich, Radiophys. Quantum Electron. 29, 795 (1986).
4. L.M. Pecora and T.L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
5. K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
6. K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
7. K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
8. K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 973 (1992); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995); N.F. Rulkov, Chaos 6, 262 (1996).
9. P. Ashwin, J. Buescu, and I. Stewart, Nonlinearity 9, 703 (1996).
10. Y.-C. Lai, C. Grebogi, J.A. Yorke, and S.C. Venkataramani, Phys. Rev. Lett. 77, 55 (1996).
11. V. Astakhov, A. Shabunin, T. Kapitaniak, and V. Anishchenko, Phys. Rev. Lett. 79, 1014 (1997); V. Ashtakhov, M. Hasler, T. Kapitaniak, V. Shabunin, and V. Anishchenko, Phys. Rev. E 58, 5620 (1998).
12. V. Astakhov, A. Shabunin, T. Kapitaniak, and V. Anishchenko, Phys. Rev. Lett. 79, 1014 (1997); V. Ashtakhov, M. Hasler, T. Kapitaniak, V. Shabunin, and V. Anishchenko, Phys. Rev. E 58, 5620 (1998).
13. Yu.L. Maistrenko, V.L. Maistrenko, O. Popovich, and E. Mosekilde, Phys. Rev. E 57, 2713 (1998); 60, 2817 (1999); O. Popovych, Yu.L. Maistrenko, E. Moskilde, A. Pikovsky, and J. Kurths, Phys. Lett. A 275, 401 (2000); Phys. Rev. E 63, 036201 (2001).
14. Yu.L. Maistrenko, V.L. Maistrenko, O. Popovich, and E. Mosekilde, Phys. Rev. E 57, 2713 (1998); 60, 2817 (1999); O. Popovych, Yu.L. Maistrenko, E. Moskilde, A. Pikovsky, and J. Kurths, Phys. Lett. A 275, 401 (2000); Phys. Rev. E 63, 036201 (2001).
15. Yu.L. Maistrenko, V.L. Maistrenko, O. Popovich, and E. Mosekilde, Phys. Rev. E 57, 2713 (1998); 60, 2817 (1999); O. Popovych, Yu.L. Maistrenko, E. Moskilde, A. Pikovsky, and J. Kurths, Phys. Lett. A 275, 401 (2000); Phys. Rev. E 63, 036201 (2001).
16. Yu.L. Maistrenko, V.L. Maistrenko, O. Popovich, and E. Mosekilde, Phys. Rev. E 57, 2713 (1998); 60, 2817 (1999); O. Popovych, Yu.L. Maistrenko, E. Moskilde, A. Pikovsky, and J. Kurths, Phys. Lett. A 275, 401 (2000); Phys. Rev. E 63, 036201 (2001).
17. Yu.L. Maistrenko, V.L. Maistrenko, A. Popovich, and E. Mosekilde, Phys. Rev. Lett. 80, 1638 (1998); G.-I. Bischi and L. Gardini, Phys. Rev. E 58, 5710 (1998).
18. Yu.L. Maistrenko, V.L. Maistrenko, A. Popovich, and E. Mosekilde, Phys. Rev. Lett. 80, 1638 (1998); G.-I. Bischi and L. Gardini, Phys. Rev. E 58, 5710 (1998).
19. S.-Y. Kim and W. Lim, Phys. Rev. E 63, 026217 (2001); S.-Y. Kim, W. Lim, and Y. Kim, Prog. Theor. Phys. 105, 187 (2001).
20. S.-Y. Kim and W. Lim, Phys. Rev. E 63, 026217 (2001); S.-Y. Kim, W. Lim, and Y. Kim, Prog. Theor. Phys. 105, 187 (2001).
21. S.-Y. Kim and W. Lim, Phys. Rev. E 64, 016211 (2001).
22. C. Mira, L. Gardini, A. Barugola, and J.-C. Cathala, Chaotic Dynamics in Two-Dimensional Noninvertible Maps (World Scientific, Singapore, 1996); R.H. Abraham, L. Gardini, and C. Mira, Chaos in Discrete Dynamical Systems (Springer, New York, 1997).
23. C. Mira, L. Gardini, A. Barugola, and J.-C. Cathala, Chaotic Dynamics in Two-Dimensional Noninvertible Maps (World Scientific, Singapore, 1996); R.H. Abraham, L. Gardini, and C. Mira, Chaos in Discrete Dynamical Systems (Springer, New York, 1997).
24. P. Ashwin, J. Buescu, and I. Stewart, Phys. Lett. A 193, 126 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. E 52, 1253 (1995); S.C. Venkataramani, B.R. Hunt, E. Ott, D.J. Gauthier, and J.C. Bienfang, Phys. Rev. Lett. 77, 5361 (1996).
25. P. Ashwin, J. Buescu, and I. Stewart, Phys. Lett. A 193, 126 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. E 52, 1253 (1995); S.C. Venkataramani, B.R. Hunt, E. Ott, D.J. Gauthier, and J.C. Bienfang, Phys. Rev. Lett. 77, 5361 (1996).
26. P. Ashwin, J. Buescu, and I. Stewart, Phys. Lett. A 193, 126 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. E 52, 1253 (1995); S.C. Venkataramani, B.R. Hunt, E. Ott, D.J. Gauthier, and J.C. Bienfang, Phys. Rev. Lett. 77, 5361 (1996).
27. S.C. Venkataramani, B.R. Hunt, and E. Ott, Phys. Rev. E 54, 1346 (1996).
28. J.C. Alexander, J.A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992); E. Ott, J.C. Sommerer, J.C. Alexander, I. Kan, and J.A. Yorke, Phys. Rev. Lett. 71, 4134 (1993); J.C. Sommerer and E. Ott, Nature (London) 365, 136 (1993); E. Ott, J.C. Alexander, I. Kan, J.C. Sommerer, and J.A. Yorke, Physica D 76, 384 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. Lett. 73, 3528 (1994).
29. J.C. Alexander, J.A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992); E. Ott, J.C. Sommerer, J.C. Alexander, I. Kan, and J.A. Yorke, Phys. Rev. Lett. 71, 4134 (1993); J.C. Sommerer and E. Ott, Nature (London) 365, 136 (1993); E. Ott, J.C. Alexander, I. Kan, J.C. Sommerer, and J.A. Yorke, Physica D 76, 384 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. Lett. 73, 3528 (1994).
30. J.C. Alexander, J.A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992); E. Ott, J.C. Sommerer, J.C. Alexander, I. Kan, and J.A. Yorke, Phys. Rev. Lett. 71, 4134 (1993); J.C. Sommerer and E. Ott, Nature (London) 365, 136 (1993); E. Ott, J.C. Alexander, I. Kan, J.C. Sommerer, and J.A. Yorke, Physica D 76, 384 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. Lett. 73, 3528 (1994).
31. J.C. Alexander, J.A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992); E. Ott, J.C. Sommerer, J.C. Alexander, I. Kan, and J.A. Yorke, Phys. Rev. Lett. 71, 4134 (1993); J.C. Sommerer and E. Ott, Nature (London) 365, 136 (1993); E. Ott, J.C. Alexander, I. Kan, J.C. Sommerer, and J.A. Yorke, Physica D 76, 384 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. Lett. 73, 3528 (1994).
32. J.C. Alexander, J.A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992); E. Ott, J.C. Sommerer, J.C. Alexander, I. Kan, and J.A. Yorke, Phys. Rev. Lett. 71, 4134 (1993); J.C. Sommerer and E. Ott, Nature (London) 365, 136 (1993); E. Ott, J.C. Alexander, I. Kan, J.C. Sommerer, and J.A. Yorke, Physica D 76, 384 (1994); J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. Lett. 73, 3528 (1994).
33. A. Pikovsky and U. Feudel, Chaos 5, 253 (1995).
34. A. Jalnine and S.-Y. Kim, Phys. Rev. E 65, 026210 (2002).
35. E. Ott and J.C. Sommerer, Phys. Lett. A 188, 39 (1994); Y. Nagai and Y.-C. Lai, Phys. Rev. E 56, 4031 (1997).
36. E. Ott and J.C. Sommerer, Phys. Lett. A 188, 39 (1994); Y. Nagai and Y.-C. Lai, Phys. Rev. E 56, 4031 (1997).
37. S.-Y. Kim and H. Kook, Phys. Rev. E 48, 785 (1993).
38. S.-Y. Kim, W. Lim, and Y. Kim, Prog. Theor. Phys. 107, 239 (2002).