Eliminating delay-induced oscillation death by gradient coupling

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

Volumn 82, Issue 5, 2010, Pages

  Zou, Wei ^a   Yao, Chenggui ^b,c   Zhan, Meng ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b Wuhan National Laboratory for Optoelectronics   (China)

^c UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED OSCILLATOR SYSTEMS; DELAY-COUPLED OSCILLATORS; DIFFUSIVE COUPLING; GRADIENT COUPLING; PARAMETER SPACES; SIZE EFFECTS; ZERO GRADIENTS;

OSCILLATORS (MECHANICAL);

OSCILLATORS (ELECTRONIC);

EID: 78651353368     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.056203     Document Type: Article

References (48)

1. A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
2. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
3. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Dynamics (Cambridge University Press, Cambridge, England, 2001). 10.1017/CBO9780511755743
4. J. D. Murray, Mathematical Biology, 3rd ed. (Springer, Berlin, 2003).
5. E. Ullner, A. Zaikin, E. I. Volkov, and J. García-Ojalvo, Phys. Rev. Lett. 99, 148103 (2007). 10.1103/PhysRevLett.99.148103
6. A. Koseska, E. Volkov, and J. Kurths, EPL 85, 28002 (2009). 10.1209/0295-5075/85/28002
7. A. Koseska, E. Volkov, and J. Kurths, Chaos 20, 023132 (2010). 10.1063/1.3456937
8. R. E. Mirollo and S. H. Stogatz, J. Stat. Phys. 60, 245 (1990). 10.1007/BF01013676
9. D. G. Aronson, G. B. Ermentrout, and N. Kopell, Physica D 41, 403 (1990). 10.1016/0167-2789(90)90007-C
10. L. Rubchinsky and M. Sushchik, Phys. Rev. E 62, 6440 (2000). 10.1103/PhysRevE.62.6440
11. Z. Hou and H. Xin, Phys. Rev. E 68, 055103 (2003). 10.1103/PhysRevE.68. 055103
12. J. Yang, Phys. Rev. E 76, 016204 (2007). 10.1103/PhysRevE.76.016204
13. W. Liu, X. Wang, S. Guan, and C.-H. Lai, New J. Phys. 11, 093016 (2009). 10.1088/1367-2630/11/9/093016
14. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. 80, 5109 (1998). 10.1103/PhysRevLett.80.5109
15. K. Konishi, Phys. Rev. E 68, 067202 (2003). 10.1103/PhysRevE.68.067202
16. K. Konishi, Int. J. Bifurcation Chaos 17, 2781 (2007). 10.1142/S0218127407018750
17. R. Karnatak, R. Ramaswamy, and A. Prasad, Phys. Rev. E 76, 035201 (R) (2007). 10.1103/PhysRevE.76.035201
18. W. Zou, X. G. Wang, Q. Zhao, and M. Zhan, Fron. Phys. China 4, 97 (2009). 10.1007/s11467-009-0009-7
19. M. Dasgupta, M. Rivera, and P. Parmananda, Chaos 20, 023126 (2010). 10.1063/1.3439228
20. S. H. Strogatz, Nature (London) 394, 316 (1998). 10.1038/28488
21. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. 85, 3381 (2000). 10.1103/PhysRevLett.85.3381
22. A. Takamatsu, T. Fujii, and I. Endo, Phys. Rev. Lett. 85, 2026 (2000). 10.1103/PhysRevLett.85.2026
23. R. Herrero, M. Figueras, J. Rius, F. Pi, and G. Orriols, Phys. Rev. Lett. 84, 5312 (2000). 10.1103/PhysRevLett.84.5312
24. A. Prasad, Y. C. Lai, A. Gavrielides, and V. Kovanis, Phys. Lett. A 318, 71 (2003). 10.1016/j.physleta.2003.08.072
25. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Physica D 129, 15 (1999). 10.1016/S0167-2789(99)00004-4
26. R. Dodla, A. Sen, and G. L. Johnston, Phys. Rev. E 69, 056217 (2004). 10.1103/PhysRevE.69.056217
27. M. P. Mehta and A. Sen, Phys. Lett. A 355, 202 (2006). 10.1016/j.physleta.2006.01.104
28. F. M. Atay, Phys. Rev. Lett. 91, 094101 (2003). 10.1103/PhysRevLett.91. 094101
29. K. Konishi, Phys. Rev. E 70, 066201 (2004). 10.1103/PhysRevE.70.066201
30. K. Konishi, H. Kokame, and N. Hara, Phys. Lett. A 374, 733 (2010). 10.1016/j.physleta.2009.11.065
31. A. Prasad, Phys. Rev. E 72, 056204 (2005). 10.1103/PhysRevE.72.056204
32. G. Saxena, A. Prasad, and R. Ramaswamy, Phys. Rev. E 82, 017201 (2010). 10.1103/PhysRevE.82.017201
33. W. Zou and M. Zhan, Phys. Rev. E 80, 065204 (R) (2009). 10.1103/PhysRevE.80.065204
34. F. M. Atay, Physica D 183, 1 (2003). 10.1016/S0167-2789(03)00154-4
35. F. M. Atay, J. Differ. Equations 221, 190 (2006). 10.1016/j.jde.2005.01. 007
36. W. Michiels and H. Nijmeijer, Chaos 19, 033110 (2009). 10.1063/1.3187792
37. K. Konishi, H. Kokame, and N. Hara, Phys. Rev. E 81, 016201 (2010). 10.1103/PhysRevE.81.016201
38. W. Zou, X. Zheng, and M. Zhan (unpublished).
39. I. Aranson, H. Levine, and L. Tsimring, Phys. Rev. Lett. 72, 2561 (1994). 10.1103/PhysRevLett.72.2561
40. J. Z. Yang, G. Hu, and J. H. Xiao, Phys. Rev. Lett. 80, 496 (1998). 10.1103/PhysRevLett.80.496
41. J. H. Xiao, G. Hu, J. Z. Yang, and J. H. Gao, Phys. Rev. Lett. 81, 5552 (1998). 10.1103/PhysRevLett.81.5552
42. M. Zhan, G. Hu, and J. Z. Yang, Phys. Rev. E 62, 2963 (2000). 10.1103/PhysRevE.62.2963
43. M. Zhan, J. H. Gao, Y. Wu, and J. H. Xiao, Phys. Rev. E 76, 036203 (2007). 10.1103/PhysRevE.76.036203
44. W. Zou and M. Zhan, EPL 81, 10006 (2008). 10.1209/0295-5075/81/10006
45. J. Garcia-Ojalvo, M. B. Elowitz, and S. H. Strogatz, Proc. Natl. Acad. Sci. U.S.A. 101, 10955 (2004). 10.1073/pnas.0307095101
46. S. D. Monte, F. D. Ovidio, S. Dano, and P. G. Sorensen, Proc. Natl. Acad. Sci. U.S.A. 104, 18377 (2007). 10.1073/pnas.0706089104
47. A. F. Taylor, M. R. Tinsley, F. Wang, Z. Y. Huang, and K. Showalter, Science 323, 614 (2009). 10.1126/science.1166253
48. Q. Z. Yi, J. J. Zhang, Z. J. Yuan, and T. S. Zhou, Eur. Phys. J. B 75, 365 (2010). 10.1140/epjb/e2010-00129-y