Synchronized states in chaotic systems coupled indirectly through a dynamic environment

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

Volumn 81, Issue 4, 2010, Pages

  Resmi, V ^a   Ambika, G ^a   Amritkar, R E ^b  

^a INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH   (India)

^b PHYSICAL RESEARCH LABORATORY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ANTI-SYNCHRONIZATION; ANTIPHASE; APPROXIMATE STABILITY; COMMON ENVIRONMENT; COUPLING STRENGTHS; DYNAMIC ENVIRONMENTS; IN-PHASE; LORENZ SYSTEM; LYAPUNOV EXPONENT; NUMERICAL STUDIES; PARAMETER PLANE; PHASE DIFFERENCE; STABILITY ANALYSIS; THRESHOLD CONDITION;

CONVERGENCE OF NUMERICAL METHODS; NUMERICAL ANALYSIS; SYNCHRONIZATION; SYSTEM STABILITY;

CHAOTIC SYSTEMS;

EID: 77951738457     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.046216     Document Type: Article

References (35)

1. A. S. Pikovsky, M. G. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge Nonlinear Science Series (Cambridge University Press, London, 2003).
2. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996). 10.1103/PhysRevLett.76.1804
3. E. R. Rosa, E. Ott, and M. H. Hess, Phys. Rev. Lett. 80, 1642 (1998). 10.1103/PhysRevLett.80.1642
4. J. Liu, C. Ye, S. Zhang, and W. Song, Phys. Lett. A 274, 27 (2000). 10.1016/S0375-9601(00)00522-3
5. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997). 10.1103/PhysRevLett.78.4193
6. S. Taherion and Y. C. Lai, Phys. Rev. E 59, R6247 (1999). 10.1103/PhysRevE.59.R6247
7. H. U. Voss, Phys. Rev. E 61, 5115 (2000). 10.1103/PhysRevE.61.5115
8. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995). 10.1103/PhysRevE.51.980
9. H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E 53, 4528 (1996). 10.1103/PhysRevE.53.4528
10. L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996). 10.1103/PhysRevLett.76.1816
11. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983). 10.1143/PTP.69.32
12. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990). 10.1103/PhysRevLett.64.821
13. S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001). 10.1103/PhysRevA.64.013805
14. C. M. Kim, S. Rim, W. H. Kye, J. W. Ryu, and Y. J. Park, Phys. Lett. A 320, 39 (2003). 10.1016/j.physleta.2003.10.051
15. H. Zhu and B. Cui, Chaos 17, 043122 (2007). 10.1063/1.2816941
16. A. V. Rangan and D. Cai, Phys. Rev. Lett. 96, 178101 (2006). 10.1103/PhysRevLett.96.178101 (Pubitemid 47245022)
17. S. Sinha and S. Sinha, Phys. Rev. E 71, 020902 (R) (2005). 10.1103/PhysRevE.71.020902 (Pubitemid 40606965)
18. X. Chen and J. E. Cohen, J. Theor. Biol. 212, 223 (2001). 10.1006/jtbi.2001.2370 (Pubitemid 32896885)
19. R. Toral, C. R. Mirasso, E. Hernandez-Garcia, and O. Piro, Chaos 11, 665 (2001). 10.1063/1.1386397
20. C. S. Zhou and J. Kurths, Phys. Rev. Lett. 88, 230602 (2002). 10.1103/PhysRevLett.88.230602
21. D. He, P. Shi, and L. Stone, Phys. Rev. E 67, 027201 (2003). 10.1103/PhysRevE.67.027201
22. A. S. Pikovsky, M. G. Rosenblum, G. V. Osipov, and J. Kurths, Physica D 104, 219 (1997). 10.1016/S0167-2789(96)00301-6
23. A. S. Pikovsky, M. Zaks, M. Rosenblum, G. Osipov, and J. Kurths, Chaos 7, 680 (1997). 10.1063/1.166265 (Pubitemid 128005617)
24. E. H. Park, M. A. Zaks, and J. Kurths, Phys. Rev. E 60, 6627 (1999). 10.1103/PhysRevE.60.6627
25. Y. Braiman and K. Wiesenfeld, Phys. Rev. B 49, 15223 (1994). 10.1103/PhysRevB.49.15223
26. R. Toth, A. F. Taylor, and M. R. Tinsley, J. Phys. Chem. B 110, 10170 (2006). 10.1021/jp060732z (Pubitemid 44020279)
27. A. Kuznetsov, M. Kærn, and N. Kopell, SIAM J. Appl. Math. 65, 392 (2004). 10.1137/S0036139903436029
28. R. Wang and L. Chen, J. Biol. Rhythms 20, 257 (2005). 10.1177/0748730405275653 (Pubitemid 40646946)
29. D. Gonze, S. Bernard, C. Waltermann, A. Kramer, and H. Herzel, Biophys. J. 89, 120 (2005). 10.1529/biophysj.104.058388 (Pubitemid 41098269)
30. J. Javaloyes, M. Perrin, and A. Politi, Phys. Rev. E 78, 011108 (2008). 10.1103/PhysRevE.78.011108
31. G. Katriel, Physica D 237, 2933 (2008). 10.1016/j.physd.2008.04.015
32. G. Ambika and R. E. Amritkar, Phys. Rev. E 79, 056206 (2009). 10.1103/PhysRevE.79.056206
33. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D 16, 285 (1985). 10.1016/0167-2789(85)90011-9
34. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, Phys. Rep. 366, 1 (2002). 10.1016/S0370-1573(02)00137-0
35. D. V. Senthilkumar, J. Kurths, and M. Lakshmanan, Chaos 19, 023107 (2009). 10.1063/1.3125721