Quantifying stochasticity in the dynamics of delay-coupled semiconductor lasers via forbidden patterns

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 368, Issue 1911, 2010, Pages 367-377

  Tiana Alsina, Jordi ^a   Buldú, Javier M ^b   Torrent, M C ^a   García Ojalvo, Jordi ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSIDAD REY JUAN CARLOS   (Spain)

Author keywords

Delay coupled oscillators; Forbidden patterns; Low frequency fluctuations; Noise; Semiconductor laser dynamics

Indexed keywords

DYNAMICS; FEEDBACK; LASERS; OSCILLATORS (ELECTRONIC); OSCILLATORS (MECHANICAL); PUMPING (LASER); TIME SERIES;

COHERENCE COLLAPSE; COUPLED SEMICONDUCTOR LASERS; DELAY-COUPLED OSCILLATORS; EXTERNAL OPTICAL FEEDBACK; FORBIDDEN PATTERN; LAG-TIME; LASING THRESHOLD; LOW FREQUENCY FLUCTUATIONS; NOISE; STOCHASTICITY; SWITCHING DYNAMICS;

SEMICONDUCTOR LASERS;

ARTICLE; DIODE LASER; ELECTRONICS; OSCILLOMETRY; STATISTICAL MODEL; STATISTICS; SYSTEMS THEORY; TIME;

ELECTRONICS; LASERS, SEMICONDUCTOR; MODELS, STATISTICAL; OSCILLOMETRY; STOCHASTIC PROCESSES; SYSTEMS THEORY; TIME FACTORS;

EID: 76149097231     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2009.0241     Document Type: Article

References (19)

1. Ahlers, V., Parlitz, U. & Lauterborn, W. 1998 Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers. Phys. Rev. E 58, 7208-7213. (doi:10.1103/PhysRevE.58.7208)
2. Amigó, J. M., Kocarev, L. & Szczepanski, J. 2006 Order patterns and chaos. Phys. Lett. A 355, 27-31. (doi:10.1016/j.physleta.2006.01. 093)
3. Amigó, J. M., Zambrano, S. & Sanjuán, M. A. F. 2007 True and false forbidden patterns in deterministic and random dynamics. Europhys. Lett. 79, 50001. (doi:10.1209/0295-5075/79/50001)
4. Amigó, J. M., Elizalde, S. & Kennel, M. B. 2008 Forbidden patterns and shift systems. J. Comb. Theory A 115, 485-504. (doi:10.1016/j.jcta. 2007.07.004)
5. Fischer, I., van Tartwijk, G. H. M., Levine, A. M., Elsässer, W., Göbel, E. & Lenstra, D. 1996 Fast pulsing and chaotic itinerancy with a drift in the coherence collapse of semiconductor lasers. Phys. Rev. Lett. 76, 220-223. (doi:10.1103/PhysRevLett.76.220)
6. González, C. M., Torrent, M. C. & García-Ojalvo, J. 2007 Controlling the leader-laggard dynamics in delay-synchronized lasers. Chaos 17, 033122. (doi:10.1063/1.2780131)
7. Heil, T., Fischer, I., Elsässer, W., Mulet, J. & Mirasso, C. R. 2001 Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers. Phys. Rev. Lett. 86, 795-798. (doi:10.1103/PhysRevLett.86.795) (Pubitemid 32159792)
8. Henry, C. & Kazarinov, R. 1986 Instability of semiconductor lasers due to optical feedback from distant reflectors. IEEE J. Quantum Electron. 22, 294-301. (doi:10.1109/JQE.1986.1072959)
9. Herrero, R., Figueras, M., Rius, J., Pi, F. & Orriols, G. 2000 Experimental observation of the amplitude death effect in two coupled nonlinear oscillators. Phys. Rev. Lett. 84, 5312-5315. (doi:10.1103/PhysRevLett.84.5312)
10. Hohl, A., van der Linden, H. J. C. & Roy, R. 1995 Determinism and stochasticity of powerdropout events in semiconductor lasers with optical feedback. Opt. Lett. 20, 2396-2398. (doi:10.1364/OL.20.002396)
11. Lam, W.-S., Guzdar, P. N. & Roy, R. 2003 Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback. Int. J. Mod. Phys. B 17, 4123-4138. (doi:10.1142/ S021797920302209X)
12. Mork, J., Tromborg, B. & J. Mark, 1992 Chaos in semiconductor lasers with optical feedback-theory and experiment. IEEE J. Quantum Electron. 28, 93-108. (doi:10.1109/3.119502)
13. Ohtsubo, J. 2002 Chaotic dynamics in semiconductor lasers with optical feedback. Progress in optics, vol.44, pp. 1-84. Amsterdam, The Netherlands: Elsevier.
14. Sacher, J., Elsässer, W. & Göbel, E. 1989 Intermittency in the coherence collapse of a semiconductor laser with external feedback. Phys. Rev. Lett. 63, 2224-2227. (doi:10.1103/PhysRevLett.63.2224)
15. Sano, T. 1994 Antimode dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback. Phys. Rev. A 50, 2719-2726. (doi:10.1103/PhysRevA.50.2719)
16. Takamatsu, A., Fujii, T. & Endo, I. 2000 Time delay effect in a living coupled oscillator system with the plasmodium of Physarum polycephalum. Phys. Rev. Lett. 85, 2026-2029. (doi:10.1103/PhysRevLett.85.2026)
17. Uchida, A., Rogister, F., García-Ojalvo, J. & Roy, R. 2005 Synchronization and communication with chaotic laser systems. Progress in optics, vol.48, pp. 203-341. Amsterdam, The Netherlands: Elsevier.
18. Zanin, M. 2008 Forbidden patterns in financial time series. Chaos 18, 013119. (doi:10.1063/1.2841197)
19. Zunino, L., Zanin, M., Tabak, B. M., Perez, D. G. & Rosso, O. A. 2009 Forbidden patterns, permutation entropy and stock market inefficiency. Physica A, Stat. Mech. Appl. 388, 2854-2864. (doi:10.1016/j.physa.2009.03.042)