Synchronization in light-controlled oscillators

Physica D: Nonlinear Phenomena

Volumn 182, Issue 3-4, 2003, Pages 254-273

  Ramirez Avila G M ^a,b   Guisset, J L ^a   Deneubourg, J L ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSIDAD MAYOR DE SAN ANDRÉS   (Bolivia)

Author keywords

Collective behavior; Coupled oscillators; Optoelectronic devices; Synchronization

Indexed keywords

COUPLED CIRCUITS; LIGHT EMISSION; MATHEMATICAL MODELS; OPTOELECTRONIC DEVICES; PROBLEM SOLVING; SYNCHRONIZATION;

LIGHT-CONTROLLED OSCILLATORS (LCO);

OSCILLATORS (ELECTRONIC);

EID: 0042531997     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00135-0     Document Type: Article

References (48)

1. Winful H.G., Rahman L., Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers. Phys. Rev. Lett. 65:1990;1575-1578.
2. Wiesenfeld K., Colet P., Strogatz S.H., Synchronization transitions in a disordered Josephson series array. Phys. Rev. Lett. 76:1996;404-407.
3. Hohl A., Gavrielides A., Erneux T., Kovanis V., Localized synchronization in two coupled nonidentical semiconductor lasers. Phys. Rev. Lett. 78:1997;4745-4748.
4. Strogatz S.H., Mirollo R.E., Matthews P.C., Coupled nonlinear oscillators below the synchronization threshold: relaxation by generalized Landau damping. Phys. Rev. Lett. 68:1992;2730-2733.
5. Kiss I.Z., Zhai Y., Hudson J.L., Collective dynamics of chaotic chemical oscillators and the law of large numbers. Phys. Rev. Lett. 88(23):2002;238301.
6. A. Goldbeter, Biochemical Oscillations and Cellular Rhythms - The Molecular Bases of Periodic and Chaotic Behaviour, Cambridge University Press, Cambridge, 1996.
7. Neiman A.B., Russell D.F., Pei X., Wojtenek W., Twitty J., Simonotto E., Wettring B.A., Wagner E., Wilkens L.A., Moss F., Stochastic synchronization of electroreceptors in paddlefish. Int. J. Bifurcat. Chaos. 10:2000;2499-2517.
8. Anishchenko V.S., Balanov A.G., Janson N.B., Igosheva N.B., Bordyugov G.V., Entrainment between heart rate and weak noninvasive forcing. Int. J. Bifurcat. Chaos. 10:2000;2339-2348.
9. Schäfer C., Rosenblum M.G., Kurths J., Abel H.H., Heartbeat synchronized with ventilation. Nature. 392:1998;239-240.
10. Schäfer C., Rosenblum M.G., Abel H.H., Kurths J., Synchronization in the human cardiorespiratory system. Phys. Rev. E. 60:1999;857-870.
11. B. Blasius, A. Huppert, L. Stone, Complex dynamics and phase synchronization in spatially extended ecological systems, Nature 399 (1999) 354-359.
12. Blasius B., Stone L., Chaos and phase synchronization in ecological systems. Int. J. Bifurcat. Chaos. 10:2000;2361-2380.
13. A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization - A Universal Concept in Nonlinear Sciences, Cambridge University Press, Cambridge, 2001.
14. I. Blekhman, Synchronization in Science and Technology, ASME, New York, 1988.
15. B.J. Cole, F.I. Trampus, Activity cycles in ant colonies; worker interactions and decentralized controls, in: C. Detrain, J.L. Deneubourg, J. Pasteels (Eds.), Information Processing in Social Insects, Birkhäuser, Basel, 1999.
16. S. Camazine, J.L. Deneubourg, S. Franks, J. Sneyd, G. Theraulaz, E. Bonabeau, Self-organization in Biological Systems, Princeton University Press, Princeton, NJ, 2001.
17. Buck J., Buck E., Synchronous fireflies. Sci. Am. 234:1976;74-85.
18. Buck J., Buck E., Toward a functional interpretation of synchronous flashing by fireflies. Am. Nat. 112:1978;471-492.
19. Lloyd J.E., Fireflies of Melanesia: bioluminescence, mating behavior and synchronous flashing (Coleoptera: Lampyridae). Environ. Entomol. 2:1973;991-1008.
20. Lloyd J.E., Model for the mating protocol of synchronously flashing fireflies. Nature. 245:1973;268-270.
21. Moiseff A., Copeland J., A new type of synchronized flashing in a North America firefly. J. Insect Behav. 13:2000;597-612.
22. Kuramoto Y., Nishikawa I., Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities. J. Stat. Phys. 49:1987;569-605.
23. Collins J.J., Stewart I.N., Coupled nonlinear oscillators and the symmetries of animal gaits. J. Nonlin. Sci. 3:1993;349-392.
24. Ernst U., Pawelzik K., Geisel T., Delay-induced synchronization of biological oscillators. Phys. Rev. E. 57:1998;2150-2162.
25. Mirollo R.E., Strogatz S.H., Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math. 50:1990;1645-1662.
26. C.S. Peskin, Mathematical Aspects of Heart Physiology, Courant Institute of Mathematical Sciences, New York University, New York, 1975, pp. 268-278.
27. Jalife J., Mutual entrainment and electrical coupling as mechanisms for synchronous firing of rabbit sino-atrial pace-maker cells. J. Physiol. 356:1984;221-243.
28. Michaels D.C., Matyas E.P., Jalife J., Mechanisms of sinoatrial pacemaker synchronization: a new hypothesis. Circ. Res. 61:1987;704-714.
29. Buck J., Buck E., Case J.F., Hanson F.E., Control of flashing in fireflies. V. Pacemaker synchronization in Pteroptyx cribellata. J. Comp. Physiol. A. 144:1981;287-298.
30. Ermentrout G.B., An adaptive model for synchrony in the firefly Pteroptyx malaccae. J. Math. Biol. 29:1991;571-585.
31. Garver W., Moss F., Electronic fireflies. Sci. Am. 269(6):1993;128-130.
32. LINEAR Databook, LM555/LM555C Timer, National Semiconductor Corporation, no. 9, 1982, pp. 33-38.
33. J.L. Guisset, J.L. Deneubourg, G.M. Ramírez Ávila, The phase information associated to synchronized electronic fireflies, arXiv:nlin.AO/0206036, 2002.
34. Guisset J.L., Ramírez Ávila G.M., Deneubourg J.L., Constructing coupled electronic fireflies and measuring their phase-locking behavior. Rev. Bol. Fis. 7:2001;102-114. (in Spanish).
35. C.H. Johnson, Phase response curves: what can they tell us about circadian clocks? in: T. Hiroshige, K. Honma (Eds.), Circadian Clocks from Cell to Human, Hokkaido University Press, Sapporo, 1992, pp. 209-249.
36. Johnson C.H., Forty years of PRCs - what have we learned? Chronobiol. Int. 16(6):1999;711-743.
37. Fuentes-Pardo B., Ramos-Carvajal J., The phase response curve of electroretinographic circadian rhythm of crayfish. Comp. Biochem. Physiol. A. 74:1983;711-714.
38. A.T. Winfree, The Geometry of Biological Time, Springer, New York, 1980.
39. L. Glass, M. Mackey, From Clocks to Chaos, The Rhythms of Life, Princeton University Press, Princeton, NJ, 1988.
40. Nakao M., Yamamoto K., Katayama N., Yamamoto M., Phase shift of coupled oscillator model with feedbacks in response to multiple bright light exposure. Psych. Clin. Neurosci. 56(3):2002;215-216.
41. Goel P., Ermentrout B., Synchrony, stability, and firing patterns in pulse-coupled oscillators. Physica D. 163:2002;191-216.
42. M. Beckerman, Adaptive Cooperative Systems, Wiley, New York, NY, 1997.
43. Brailove A.A., Linsay P.S., An experimental study of a population of relaxation oscillators with a phase-repelling mean-field coupling. Int. J. Bifurcat. Chaos. 6:1996;1211-1253.
44. Ramana Reddy D.V., Sen A., Johnston G.L., Experimental evidence of time-delay-induced death in coupled limit cycle oscillators. Phys. Rev. Lett. 85:2000;3381-3384.
45. P.S. Landa, Nonlinear Oscillations and Waves in Dynamical Systems, Nauka, Moscow, 1980 (in Russian).
46. Ruwisch D., Bode M., Volkov D.V., Volkov E.I., Collective modes of three coupled relaxation oscillators: the influence of detuning. Int. J. Bifurcat. Chaos. 9:1999;1969-1981.
47. Volkov E.I., Volkov D.V., Multirhythmicity generated by slow variable diffusion in a ring of relaxation oscillators and noise-induced abnormal interspike variability. Phys. Rev. E. 65:2002;046232.
48. De Schutter G., Theraulaz G., Deneubourg J.L., Animal-robots collective intelligence. Ann. Math. Art. Int. 31:2001;223-238.