Oscillation death in coupled oscillators

Frontiers of Physics in China

Volumn 4, Issue 1, 2009, Pages 97-110

  Zou, Wei ^a,b   Wang, Xin Gang ^c,d   Zhao, Qi ^a,b   Zhan, Meng ^a  

^a Wuhan National Laboratory for Optoelectronics   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

^c ZHEJIANG UNIVERSITY   (China)

^d NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Amplitude death (AD); Coupled oscillators; Oscillation death (OD); Synchronization

Indexed keywords

EID: 62649088937     PISSN: 16733487     EISSN: 16733606     Source Type: Journal    
DOI: 10.1007/s11467-009-0009-7     Document Type: Article

References (48)

1. A. T. Winfree, The Geometry of Biological Time, New York: Springer-Verlag, 1980
2. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence, Berlin: Springer, 1984
3. I. R. Epstein and J. A. Pojman, An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos, New York: Oxford University Press, 1998
4. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Dynamics, Cambridge: Cambridge University Press, 2001
5. J. D. Murray, Mathematical Biology, 3rd Ed., Berlin: Springer, 2003
6. L. M. Pecora T. L. Carroll 1990 Phys. Rev. Lett. 64 821
7. L. M. Pecora T. L. Carroll 1998 Phys. Rev. Lett. 80 2109
8. J. Z. Yang G. Hu J. H. Xiao 1998 Phys. Rev. Lett. 80 496
9. M. Zhan G. Hu J. Z. Yang 2000 Phys. Rev. E 62 2963
10. M. Zhan J. H. Gao Y. Wu J. H. Xiao 2007 Phys. Rev. E 76 036203
11. W. Zou M. Zhan 2008 Europhys. Lett. 81 10006
12. M. Bennett M. Schatz H. Rockwood K. Wiesenfeld 2002 Proc. Roy. Soc. London Ser. A 458 563
13. W. Q. Liu J. H. Xiao X. Qian J. Z. Yang 2006 Phys. Rev. E 73 057203
14. K. Bar-Eli 1985 Physica D 14 242
15. K. Bar-Eli 1990 Reac. Kinet. Catal. Lett. 42 435
16. M. Yoshimoto K. Yoshikawa Y. Mori 1993 Phys. Rev. E 47 864
17. Y. Yamaguchi H. Shimizu 1984 Physica D 11 212
18. R. E. Mirollo S. H. Stogatz 1989 J. Stat. Phys. 60 245
19. G. B. Ermentrout W. C. Troy 1989 SIAM J. Math. Anal. 20 1436
20. D. G. Aronson E. J. Doedel H. G. Othmer 1987 Physica D 25 20
21. D. G. Aronson G. B. Ermentrout N. Kopell 1990 Physica D 41 403
22. M. F. Crowley I. R. Epstein 1989 J. Phys. Chem. 93 2496
23. D.-S. Lee J.-W. Ryu 2005 Appl. Phys. Lett. 86 181104
24. M.-D. Wei J.-C. Lun 2007 Appl. Phys. Lett. 91 061121
25. G. G. Ermentrout 1990 Physica D 41 219
26. P. C. Matthews S. H. Stogatz 1990 Phys. Rev. Lett. 65 1701
27. E. Ullner A. Zaikin E. I. Volkov J. Garcia-Ojalvo 2007 Phys. Rev. Lett. 9 148103
28. L. Rubchinsky M. Sushchik 2000 Phys. Rev. E 62 6440
29. L. Rubchinsky M. Sushchik G. V. Osipov 2002 Math. Comput. Simul. 58 443
30. F. M. Atay 2003 Physica D 183 1
31. Z. Hou H. Xin 2003 Phys. Rev. E 68 055103(R)
32. J. Yang 2007 Phys. Rev. E 76 016204
33. D. V. R. Reddy A. Sen G. L. Johnston 1998 Phys. Rev. Lett. 80 5109
34. D. V. R. Reddy A. Sen G. L. Johnston 1999 Physica D 129 15
35. D. V. R. Reddy A. Sen G. L. Johnston 2000 Phys. Rev. Lett. 85 3381
36. A. Takamatsu T. Fujii I. Endo 2000 Phys. Rev. Lett. 85 2026
37. R. Herrero M. Figueras J. Rius F. Pi G. Orriols 2000 Phys. Rev. Lett. 84 5312
38. Y. Zhui I. Z. Kiss J. L. Hudson 2004 Phys. Rev. E 69 026208
39. A. Prasad Y. C. Lai A. Gavrielides V. Kovanis 2003 Phys. Lett. A 318 71
40. K. Konishi 2003 Phys. Rev. E 68 067202
41. R. Karnatak R. Ramaswamy A. Prasad 2007 Phys. Rev. E 76 035201
42. M. Y. Kim R. Roy J. L. Aron T. W. Carr I. B. Schwartz 2005 Phys. Rev. Lett. 94 088101
43. F. Takens, Detecting Strange Attractors in Turbulence, Lecture Notes inMathematics, New York: Springer, 1981: 366-381
44. A. M. Turing 1952 Philos. Trans. Roy. Soc. London Ser. B 237 37
45. M. Kawato R. Suzuki 1980 J. Theor. Biol. 86 547
46. K. J. Astrom and R. M. Murray, Feedback Systems: An Introduction for Scientists and EngineersFeedback Systems: An Introduction for Scientists and Engineers, Princetion: Princeton University Press, 2008
47. J. Bechhoefer 2005 Rev. Mod. Phys. 77 783
48. W. Zou and M. Zhan, unpublished