Extraction of nonlinear dynamics for laser diodes with feedback in chaotic regime

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5452, Issue , 2004, Pages 273-282

  Ortin S ^a,b   Pesquera, L ^a   Cofino A ^c   Valle, A ^a   Gutierrez J M ^c  

^a INSTITUTO DE FÍSICA DE CANTABRIA CSIC UC   (Spain)

^b Depto de Física Moderna

^c Depto de Matemática Aplicada

Author keywords

Electro optical feedback; Message extraction; Neural network; Synchronization; Time delay

Indexed keywords

CHAOS THEORY; ELECTROOPTICAL EFFECTS; ERROR ANALYSIS; FEEDBACK; MATHEMATICAL MODELS; NEURAL NETWORKS; SYNCHRONIZATION;

ELECTRO-OPTICAL FEEDBACK; MESSAGE EXTRACTION; NEURAL NETWORK; TIME DELAY;

SEMICONDUCTOR LASERS;

EID: 12344293724     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.545527     Document Type: Conference Paper

References (25)

1. "Feature section on optical chaos and applications to cryptography," in IEEE J. of Quantum Electron. 38, 2002, S. Donati and C. R. Mirasso, eds.
2. J. D. Farmer, "Chaotic attractors of an infinite-dimensional system," Physica D 4, pp. 366-393, 1982.
3. R. Vicente, J. Daudén, P. Colet, and R. Toral, "Analysis and characterization of the hyperchaos generated by a semiconductor laser subject to a delay feedback loop," in Physics and Simulation of Optoelectronic Devices XI, M. Osinski, H. Amano, and P. Blood, eds., Proc. SPIE 4986, pp. 452-462, 2003.
4. M. J. Bünner, M. Popp, T. Meyer, A. Kittel, U. Rau, and J. Parisi, "Recovery of scalar time-delay systems from time series," Phys. Lett. A 211, pp. 345-349, 1996.
5. M. J. Bünner, M. Popp, T. Meyer, A. Kittel, and J. Parisi, "Tool to recover scalar time-delay systems from experimental time series," Phys. Rev. E 54, pp. R3082-R3085, 1996.
6. H. Voss and J. Kurths, "Reconstruction of non-linear time delay models from data by the use of optimal transformations," Phys. Lett. A 234, pp. 336-344, 1997.
7. H. Voss and J. Kurths, "Reconstruction of non-linear time-delayed feedback models from optical data," Chaos, Solitons and Fractals 234, pp. 336-344, 1997.
8. B. P. Bezruchko, A. S. Karavaev, V. I. Ponomarenko, and M. D. Prokhorov, "Reconstruction of time-delay systems from chaotic time series," Phys. Rev. E 64, pp. 056216-056221, 2001.
9. C. Zhou and C.-H. Lai, "Extracting messages masked by chaotic signals of time-delay systems," Phys. Rev. E 60, pp. 320-323, 1999.
10. V. S. Udaltsov, J. P. Goedgebuer, L. Larger, J. B. Cuenot, P. Levy, and W. T. Rhodes, "Cracking chaos-based encryption systems ruled by nonlinear time delay differential equations," Phys. Lett. A 308, pp. 54-60, 2003.
11. M. J. Bünner, T. Meyer, A. Kittel, and J. Parisi, "Recovery of the time-evolution of time-delay systems from time series," Phys. Rev. E 56, pp. 5083-5089, 1997.
12. R. Hegger, M. J. Bünner, H. Kantz, and A. Giaquinta, "Identifying and modeling delay feedback systems," Phys. Rev. Lett. 81, pp. 558-561, 1998.
13. M. J. Bünner, M. Ciofini, A. Giaquinta, R. Hegger, H. Kantz, R. Meucci, and A. Politi, "Reconstruction of systems with delayed feedback: Theory," Eur. Phys. J. D 10, pp. 165-176, 2000.
14. M. J. Bünner, M. Ciofini, A. Giaquinta, R. Hegger, H. Kantz, R. Meucci, and A. Politi, "Reconstruction of systems with delayed feedback: Application," Eur. Phys. J. D 10, pp. 177-187, 2000.
15. J. C. Principe, A. Rathie, and J.-M. Kuo, "Prediction of chaotic time series with neural networks and the issue of dynamic modeling," Int. J. Bifurcation and Chaos 2, pp. 989-996, 1992.
16. A. J. Jones, A. P. M. Tsui, and A. G. Oliveira, "Neural models of arbitrary chaotic systems: construction and the role of time delayed feedback in control and synchronization," Complexity International 9, p. tsui01, 2002 (with supplementary material in www.cs.cf.ac.uk/user/Antonia.J.Jones/ GammaArchive/ComplexityInternationalPaper/SuppMat.html).
17. E. Castillo, A. Cobo, J. M. Gutiérrez, and E. Pruneda, Functional Networks With Applications. A Neural Based Paradigm, Kluwer Academic Publishers, Boston, 1999.
18. E. Castillo and J. M. Gutiérrez, "Nonlinear time series modeling and prediction using functional networks, extracting information masked by chaos," Phys. Lett. A 244, pp. 71-84, 1998.
19. J. Goedgebuer, L. Larger, H. Porte, and F. Delorme, "Chaos in wavelength with a feedback tunable laser diode," Phys. Rev. E 57, pp. 2795-2798, 1998.
20. J. Goedgebuer, L. Larger, and H. Porte, "Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode," Phys. Rev. Lett. 80, pp. 2249-2252, 1998.
21. L. Larger, J. Goedgebuer, and F. Delorme, "Optical encryption system using hyperchaos generated by an optoelecronic wavelength oscillator," Phys. Rev. E 57, pp. 6618-6624, 1998.
22. K. Ikeda, H. Daido, and O. Akimoto, "Optical turbulence: Chaotic behavior of transmitted light from a ring cavity," Phys. Rev. Lett. 45, pp. 709-712, 1980.
23. V. S. Udaltsov, J. P. Goedgebuer, L. Larger, and W. T. Rhodes, "Dynamics of non-linear feedback systems with short time-delays," Opt. Commun. 195, pp. 187-196, 2001.
24. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes, Cambridge University Press, New York, 1992.
25. M. J. Bünner, A. Kittel, J. Parisi, I. Fischer, and W. Elsässer, "Estimation of delay times from a delayed optical feedback laser experiment," Europhys. Lett. 42, pp. 353-358, 1998.