Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators

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

Volumn 83, Issue 2, 2011, Pages

  Illing, Lucas ^a   Hoth, Greg ^a   Shareshian, Lauren ^a   May, Christopher ^a  

^a REED COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMMETRIC COUPLING; COUPLED NONLINEAR SYSTEMS; COUPLED OPTOELECTRONIC OSCILLATORS; COUPLING STRENGTHS; CRITICAL VALUE; CROSS-COUPLED; NORMAL FORM THEORY; OSCILLATION AMPLITUDE; OSCILLATION THRESHOLD; SCALING BEHAVIOR; WIDE-BAND;

LINEAR STABILITY ANALYSIS;

OPTOELECTRONIC DEVICES;

EID: 79952512792     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.026107     Document Type: Article

References (41)

1. S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/35065725 410, 268 (2001). (Pubitemid 32216604)
2. V. K. Jirsa and M. Ding, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.070602 93, 070602 (2004).
3. C. Masoller, M. C. Torrent, and J. García-Ojalvo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.041907 78, 041907 (2008).
4. N. A. Cookson, L. S. Tsimring, and J. Hasty, FEBS Lett. FEBLAL 0014-5793 10.1016/j.febslet.2009.10.089 583, 3931 (2009).
5. H. D. I. Abarbanel, M. B. Kennel, L. Illing, S. Tang, H. F. Chen, and J. M. Liu, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/3.952542 37, 1301 (2001). (Pubitemid 32990515)
6. T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.795 86, 795 (2001). (Pubitemid 32159792)
7. J. Mulet, C. Mirasso, T. Heil, and I. Fischer, J. Opt. B JOBOFD 1464-4266 10.1088/1464-4266/6/1/016 6, 97 (2004).
8. M. C. Chiang, H. F. Chen, and J. M. Liu, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/JQE.2005.856636 41, 1333 (2005). (Pubitemid 41623112)
9. 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)
10. T. W. Carr, I. B. Schwartz, M. Y. Kim, and R. Roy, SIAM J. Appl. Dyn. Syst. PRLTAO 1536-0040 10.1137/050647918 5, 699 (2006).
11. I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.123902 97, 123902 (2006). (Pubitemid 44414738)
12. E. A. Rogers-Dakin, J. Garcia-Ojalvo, D. J. DeShazer, and R. Roy, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.045201 73, 045201 (2006).
13. M. Peil, L. Larger, and I. Fischer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.045201 76, 045201 (2007). (Pubitemid 47569155)
14. I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.154101 98, 154101 (2007). (Pubitemid 46589307)
15. I. B. Schwartz and L. B. Shaw, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.046207 75, 046207 (2007). (Pubitemid 46582714)
16. F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.4997 43, 4997 (1991).
17. G. Giacomelli and A. Politi, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(97)00318-7 117, 26 (1998).
18. M. Peil, M. Jacquot, Y. K. Chembo, L. Larger, and T. Erneux, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.026208 79, 026208 (2009).
19. K. E. Callan, L. Illing, Z. Gao, D. J. Gauthier, and E. Schöll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.113901 104, 113901 (2010).
20. O. D'Huys, R. Vicente, T. Erneux, J. Danckaert, and I. Fischer, Chaos CHAOEH 1054-1500 10.1063/1.2953582 18, 037116 (2008).
21. O. D'Huys, R. Vicente, J. Danckaert, and I. Fischer, Chaos CHAOEH 1054-1500 10.1063/1.3518363 20, 043127 (2010).
22. W. Kinzel, A. Englert, G. Reents, M. Zigzag, and I. Kanter, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.056207 79, 056207 (2009).
23. V. Flunkert, S. Yanchuk, T. Dahms, and E. Schöll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.254101 105, 254101 (2010).
24. L. B. Shaw, I. B. Schwartz, E. A. Rogers, and R. Roy, Chaos CHAOEH 1054-1500 10.1063/1.2150407 16, 015111 (2006). (Pubitemid 43528825)
25. T. E. Murphy, A. B. Cohen, B. Ravoori, K. R. B. Schmitt, A. V. Setty, F. Sorrentino, C. R. S. Williams, E. Ott, and R. Roy, Philos. Trans. R. Soc. London, Ser. A PTRMAD 1364-503X 10.1098/rsta.2009.0225 368, 343 (2010).
26. L. Illing and D. J. Gauthier, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.07.008 210, 180 (2005). (Pubitemid 41344783)
27. L. Illing and D. J. Gauthier, Chaos CHAOEH 1054-1500 10.1063/1.2335814 16, 033119 (2006). (Pubitemid 44491685)
28. J. K. Hale and S. M. V. Lunel, Introduction to Functional Differential Equations (Springer-Verlag, New York, 1993).
29. J. Hale, L. T. Magalhães, and W. L. Oliva, Dynamics in Infinite Dimensions (Springer, New York, 2002).
30. A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences (Society for Industrial and Applied Mathematics, Philadelphia, 1994).
31. T. Faria and L. T. Magalhães, J. Differential Equations 0022-0396 10.1006/jdeq.1995.1144 122, 181 (1995);.
32. T. Faria and L. T. Magalhães, J. Differential Equations 0022-0396 10.1006/jdeq.1995.1145 122, 201 (1995).
33. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109 80, 2109 (1998).
34. V. S. Udaltsov, L. Larger, J. P. Goedgebuer, M. W. Lee, E. Genin, and W. T. Rhodes, IEEE T. Circ. I ITCAEX 1057-7122 10.1109/TCSI.2002.800835 49, 1006 (2002). (Pubitemid 34861847)
35. J. P. Goedgebuer, P. Levy, L. Larger, C. C. Chen, and W. T. Rhodes, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/JQE.2002.802025 38, 1178 (2002). (Pubitemid 35032640)
36. J. N. Blakely, L. Illing, and D. J. Gauthier, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/JQE.2003.823021 40, 299 (2004).
37. Y. C. Kouomou, P. Colet, L. Larger, and N. Gastaud, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.203903 95, 203903 (2005). (Pubitemid 41777121)
38. R. Vicente, S. Tang, J. Mulet, C. R. Mirasso, and J.-M. Liu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.046216 70, 046216 (2004). (Pubitemid 40010350)
39. M. Wolfrum and S. Yanchuk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.220201 96, 220201 (2006). (Pubitemid 43877286)
40. R. E. Kalman, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.48.4.596 48, 596 (1962).
41. M. Gopal, Modern Control System Theory, 2nd ed. (Wiley, New York, 1993).