Phase-flip transition in relay-coupled nonlinear oscillators

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

Volumn 84, Issue 1, 2011, Pages

  Sharma, Amit ^a   Shrimali, Manish Dev ^a,e   Prasad, Awadhesh ^b   Ramaswamy, Ram ^c   Feudel, Ulrike ^d  

^a LNM INSTITUTE OF INFORMATION TECHNOLOGY   (India)

^b UNIVERSITY OF DELHI   (India)

^c JAWAHARLAL NEHRU UNIVERSITY   (India)

^d UNIVERSITY OF OLDENBURG   (Germany)

^e INDIAN INSTITUTE OF TECHNOLOGY JODHPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE DEATH; BASINS OF ATTRACTION; CONJUGATE VARIABLES; COUPLING PARAMETERS; COUPLING STRENGTHS; CRITICAL VALUE; FIXED POINTS; IN-PHASE; LYAPUNOV EXPONENT; NON-LINEAR OSCILLATORS; NUMERICAL RESULTS; OUT-OF-PHASE OSCILLATIONS; PARAMETER INTERVALS; PARAMETER REGIONS; PHASE DIFFERENCE;

LYAPUNOV METHODS; OSCILLATORS (ELECTRONIC); TIME DELAY;

SUPERALLOYS;

EID: 79961125839     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.016226     Document Type: Article

References (41)

1. I. Nishikawa, N. Tsukamoto, and K. Aihara, Physica D PDNPDT 0167-2789 10.1016/j.physd.2009.04.005 238, 1197 (2009).
2. I. Fischer, R. Vicente, J. M. Buldú, M. Peil, C. R. Mirasso, M. C. Torrent, and J. García-Ojalvo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.123902 97, 123902 (2006). (Pubitemid 44414738)
3. R. Karnatak, R. Ramaswamy, and A. Prasad, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.035201 76, 035201 (2007). (Pubitemid 47443095)
4. R. Karnatak, R. Ramaswamy, and A. Prasad, Chaos 1054-1500 10.1063/1.3236385 19, 033143 (2009).
5. T. Singla, N. Pawar, and P. Parmananda, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.026210 83, 026210 (2011).
6. A. S. Pikovsky, M. G. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, 2001).
7. H. Fujisaka and T. Yamada, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.69.32 69, 32 (1983);
8. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Izvestiya Vysshikh Uchebnykh Zavedenii Radiofizika 29, 1050 (1986).
9. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.821 64, 821 (1990).
10. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1804 76, 1804 (1996);
11. E. R. Rosa, E. Ott, and M. H. Hess, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1642 80, 1642 (1998).
12. J. Liu, C. Ye, S. Zhang, and W. Song, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00522-3 274, 27 (2000).
13. S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.013805 64, 013805 (2001);
14. C. M. Kim, S. Rim, W. H. Kye, J. W. Ryu, and Y. J. Park, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2003.10.051 320, 39 (2003);
15. H. Zhu and B. Cui, Chaos CHAOEH 1054-1500 10.1063/1.2816941 17, 043122 (2007).
16. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4193 78, 4193 (1997).
17. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.51.980 51, 980 (1995);
18. L. Kocarev and U. Parlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1816 76, 1816 (1996).
19. S. Boccaletti and D. L. Valladares, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.62.7497 62, 7497 (2000); (Pubitemid 32033238)
20. M. A. Zaks, E. H. Park, M. G. Rosenblum, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4228 82, 4228 (1999).
21. A. Prasad, Chaos Solitons Fractals CSFOEH 0960-0779 10.1016/j.chaos.2010. 08.001 43, 42 (2010);
22. A. Sharma and M. D. Shrimali, e-print arXiv: 1105.5856.
23. Y. Yuan Zhao, Int. J. Bifurcation Chaos IJBEE4 0218-1274 10.1142/S0218127497001126 7, 1401 (1997).
24. M. Itoh, T. Yang, and L. O. Chua, Int. J. Bifurcation Chaos IJBEE4 0218-1274 10.1142/S0218127499000961 9, 1393 (1999).
25. I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.011801 62, 011801 (2000).
26. K. Matsumoto and I. Tsuda, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01010923 31, 87 (1983).
27. B. Blasius, A. Huppert, and L. Stone, Nature (London) NATUAS 0028-0836 10.1038/20676 399, 354 (1999); (Pubitemid 29318132)
28. B. Blasius and L. Stone, Int. J. Bifurcation Chaos 10.1142/ S0218127400001511 10, 2361 (2000).
29. A. Prasad, J. Kurths, S. K. Dana, and R. Ramaswamy, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.035204 74, 035204 (2006). (Pubitemid 44505239)
30. A. Prasad, S. K. Dana, R. Karnatak, J. Kurths, B. Blasius, and R. Ramaswamy, Chaos CHAOEH 1054-1500 10.1063/1.2905146 18, 023111 (2008).
31. S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/28488 394, 316 (1998). (Pubitemid 28373808)
32. A. Prasad, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.056204 72, 056204 (2005). (Pubitemid 41777795)
33. M. Y. Kim, R. Roy, J. L. Aron, T. W. Carr, and I. B. Schwartz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.088101 94, 088101 (2005). (Pubitemid 40620692)
34. G. Goleniewski, Biom. J. PRLTAO 0323-3847 10.1002/bimj.4710380305 38, 281 (1996).
35. T. Ueta and H. Kawakami, Proceedings - IEEE International Symposium on Circuits and Systems 10.1109/ISCAS.2003.1204957 3, III-68 (2003).
36. N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.712 45, 712 (1980).
37. A. Sharma (unpublished).
38. O. Rössler, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(76) 90101-8 57, 397 (1976).
39. I. Shimada and T. Nagashima, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.61.1605 61, 1605 (1979);
40. G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn, Meccanica MECCB9 0025-6455 10.1007/BF02128237 15, 21 (1980).
41. D. Gabor, J. Inst. Electr. Eng. 93, 429 (1946).