Experimental evidence of time-delay-induced death in coupled limit-cycle oscillators

Physical Review Letters

Volumn 85, Issue 16, 2000, Pages 3381-3384

  Ramana Reddy, D V ^a   Sen, A ^a   Johnston, G L ^a,b  

^a INSTITUTE FOR PLASMA RESEARCH   (India)

^b EduTron Corp   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT VOLTAGE CHARACTERISTICS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; OSCILLATORS (MECHANICAL);

COUPLED LIMIT CYCLE OSCILLATORS; NONLINEAR RESISTIVE ELEMENT;

DELAY CIRCUITS;

EID: 0000537955     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3381     Document Type: Article

References (25)

1. Y. Kuramoto and I. Nishikawa, J. Stat. Phys. 49, 569 (1987).
2. A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997); J. Benford, H. Sze, W. Woo, R. R. Smith, and B. Harteneck, Phys. Rev. Lett. 62, 969 (1989).
3. A. Hohl, A. Gavrielides, T. Erneux, and V. Kovanis, Phys. Rev. Lett. 78, 4745 (1997); J. Benford, H. Sze, W. Woo, R. R. Smith, and B. Harteneck, Phys. Rev. Lett. 62, 969 (1989).
4. M. F. Crowley and I. R. Epstein, J. Phys. Chem. 93, 2496 (1989); M. Yoshimoto, K. Yoshikawa, and Y Mori, Phys. Rev. E 47, 864 (1993).
5. M. F. Crowley and I. R. Epstein, J. Phys. Chem. 93, 2496 (1989); M. Yoshimoto, K. Yoshikawa, and Y Mori, Phys. Rev. E 47, 864 (1993).
6. J. J. Collins and I. N. Stewart, J. Nonlinear Science 3, 341 (1993); M. A. Branham and M. D. Greenfield, Nature (London) 381, 745 (1996); M. Kawato and R. Suzuki, J. Theor. Biol. 86, 547 (1980); E. Sismondo, Science 249, 55 (1990).
7. J. J. Collins and I. N. Stewart, J. Nonlinear Science 3, 341 (1993); M. A. Branham and M. D. Greenfield, Nature (London) 381, 745 (1996); M. Kawato and R. Suzuki, J. Theor. Biol. 86, 547 (1980); E. Sismondo, Science 249, 55 (1990).
8. J. J. Collins and I. N. Stewart, J. Nonlinear Science 3, 341 (1993); M. A. Branham and M. D. Greenfield, Nature (London) 381, 745 (1996); M. Kawato and R. Suzuki, J. Theor. Biol. 86, 547 (1980); E. Sismondo, Science 249, 55 (1990).
9. J. J. Collins and I. N. Stewart, J. Nonlinear Science 3, 341 (1993); M. A. Branham and M. D. Greenfield, Nature (London) 381, 745 (1996); M. Kawato and R. Suzuki, J. Theor. Biol. 86, 547 (1980); E. Sismondo, Science 249, 55 (1990).
10. A. A. Brailove and P. S. Linsay, Int. J. Bifurcation Chaos 6, 1211 (1996).
11. D. G. Aronson, G. B. Ermentrout, and N. Kopell, Physica (Amsterdam) 41D, 403 (1990); P. C. Matthews and S. H. Strogatz, Phys. Rev. Lett. 65, 1701 (1990); P. C. Matthews, R. E. Mirollo, and S. H. Strogatz, Physica (Amsterdam) 52D, 293 (1991).
12. D. G. Aronson, G. B. Ermentrout, and N. Kopell, Physica (Amsterdam) 41D, 403 (1990); P. C. Matthews and S. H. Strogatz, Phys. Rev. Lett. 65, 1701 (1990); P. C. Matthews, R. E. Mirollo, and S. H. Strogatz, Physica (Amsterdam) 52D, 293 (1991).
13. D. G. Aronson, G. B. Ermentrout, and N. Kopell, Physica (Amsterdam) 41D, 403 (1990); P. C. Matthews and S. H. Strogatz, Phys. Rev. Lett. 65, 1701 (1990); P. C. Matthews, R. E. Mirollo, and S. H. Strogatz, Physica (Amsterdam) 52D, 293 (1991).
14. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. 80, 5109 (1998); D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Physica (Amsterdam) 129D, 15 (1999).
15. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. 80, 5109 (1998); D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Physica (Amsterdam) 129D, 15 (1999).
16. S. H. Strogatz, Nature (London) 394, 316 (1998).
17. R. Herrero, M. Figueras, J. Rius, F. Pi, and G. Orriols, Phys. Rev. Lett. 84, 5312 (2000).
18. M. Komuro, R. Tokunaga, T. Matsumoto, L. O. Chua, and A. Hotta, Int. J. Bifurcation Chaos 1, 139 (1991), and references therein; Chua's Circuit: A Paradigm for Chaos, edited by R. N. Madan (World Scientific, Singapore, 1993).
19. M. Komuro, R. Tokunaga, T. Matsumoto, L. O. Chua, and A. Hotta, Int. J. Bifurcation Chaos 1, 139 (1991), and references therein; Chua's Circuit: A Paradigm for Chaos, edited by R. N. Madan (World Scientific, Singapore, 1993).
20. E. Niebur, H. G. Schuster, and D. Kammen, Phys. Rev. Lett. 67, 2753 (1991).
21. S. Kim, S. H. Park, and C. S. Ryu, Phys. Rev. Lett. 79, 2911 (1997); M. K. S. Yeung and S. H. Strogatz, Phys. Rev. Lett. 82, 648 (1999).
22. S. Kim, S. H. Park, and C. S. Ryu, Phys. Rev. Lett. 79, 2911 (1997); M. K. S. Yeung and S. H. Strogatz, Phys. Rev. Lett. 82, 648 (1999).
23. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).
24. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Physica (Amsterdam) 144D, 336 (2000).
25. M. Shiino, Phys. Lett. 111A, 396 (1985).