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NOISE-INDUCED INTERMITTENCY IN ERBIUM-DOPED FIBER LASER: THEORY AND NUMERICAL EXPERIMENT

Annotation

Theory of intermittency taking place in bistable dynamical systems subjected to additional noise influence is proposed. The main characteristic of intermittency namely the residence time distribution for both coexisting regimes is obtained analytically and numerically. The proposed theory is applied to bistable energy model and erbium-doped fiber laser with two coexisting periodic orbits.

Keywords

intermittency; multistability; noise; oscillation regimes; erbium-doped optical fiber laser

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DOI

10.20310/1810-0198-2017-22-5-1121-1126

UDC

530.182, 621.373.826

Pages

1121-1126

References

1. Schuster H.G. Deterministic Chaos. Weinheim, 1988. 2. Berzhe P., Pomo I., Vidal K. Poryadok v khaose [Order in Chaos]. Moscow, Mir Publ., 1988. (In Russian). 3. Rosenblum M.G., Pikovsky A.S. and Kurths Jürgen. From phase to lag synchronization in coupled chaotic oscillators. Phys. Rev. Lett., 1997, vol. 78, no. 22, pp. 4193-4196. 4. Hramov A.E., Koronovskii A.A. Intermittent generalized synchronization in unidirectionally coupled chaotic oscillators. Europhysics Lett., 2005, vol. 70, no. 2, pp. 169-175. 5. Boccaletti S., Valladares D. L. Characterization of intermittent lag synchronization. Phys. Rev. E., 2000, vol. 62, no. 5, pp. 7497-7500. 6. Moskalenko O.I., Koronovskiy A.A., Shurygina S.A. Povedenie nelineynykh sistem na granitse sinkhronizatsii, indutsirovannoy shumom [The behavior of nonlinear systems near the boundary of noise-induced synchronization]. Nelineynaya dinamika – Nonlinear Dynamics, 2011, vol. 7, no. 2, pp. 197-208. (In Russian). 7. Hramov A.E., Koronovskii A.A., Kurovskaуa M.K. Intermittent behavior near the synchronization threshold in system with fluctuating control parameter. Europhysics Letters, 2014, vol. 105, p. 50003. 8. Pikovsky A.S., Osipov G.V., Rosenblum M.G., Zaks M. and Kurths Jürgen. Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization. Phys. Rev. Lett., 1997, vol. 79, no. 1, pp. 47-50. 9. Hramov A.E., Koronovskii A.A., Kurovskaуa M.K., Boccaletti S. Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization. Phys. Rev. Lett., 2006, vol. 97, p. 114101. 10. Zhuravlev M.O., Koronovskii A.A., Moskalenko O.I., Ovchinnikov A.A., Hramov A.E. Ring intermittency near the boundary of the synchronous time scales of chaotic oscillators. Phys. Rev. E., 2011, vol. 83, p. 027201. 11. Moskalenko O.I., Koronovskii A.A., Hramov A.E., Zhuravlev M.O., Levin Ju.I. Cooperation of deterministic and stochastic mechanisms resulting in the intermittent behavior. Chaos, Solitons & Fractals, 2014, vol. 68, pp. 58-64. 12. Hramov A.E., Koronovskii A.A., Moskalenko O.I., Zhuravlev M.O., Ponomarenko V.I., Prokhorov M.D. Intermittency of intermittencies. CHAOS, 2013, vol. 23, no. 3, p. 033129. 13. Hramov A.E., Kurovskaуa M.K., Runnova A.E., Zhuravlev M.O., Grubov V.V., Koronovskii A.A., Pavlov A.N., Pisarchik A.N. Intermittent behavior in the brain neuronal network in the perception of ambiguous images. Proc. SPIE, 2017, vol. 10063, p. 1006314. 14. Pedaci F., Giudici M., Tredicce J.R., Giacomelli G. Stochastic resonance in bulk semiconductor lasers. Phys. Rev. E., 2005, vol. 71, p. 36125. 15. Pisarchik A.N., Jaimes-Reategui R., Sevilla-Escoboza R. and Huerta-Cuellar Guillermo. Multistate intermittency and extreme pulses in a fiber laser. Phys. Rev. E., 2012, vol. 86, p. 056219. 16. Hramov A.E., Koronovskii A.A., Moskalenko O.I., Zhuravlev M.O., Pisarchik A.N., Jaimes-Reategui R. Separation of coexisting dynamical regimes in multistate intermittency based on wavelet spectrum energies in an erbium-doped fiber laser. Phys. Rev. E., 2016, vol. 93, p. 052218. 17. Kuno M., Fromm D.P., Hamann H.F., Gallagher A., Nesbitt D.J. Nonexponential “blinking” kinetics of single CdSe quantum dots: A universal power law behavior. J. Chem. Phys., 2000, vol. 112, p. 3117-3120. 18. Chialvo D.R., Jalife J. On the Non-linear Equilibrium of the Heart: Looking Behavior and Chaos in Purkinje Fibers. Cardiac Electrophysiology: From Cell to Bedside (Saunders), 1990, pp. 201-214. 19. Siddiqi I., Vijay R., Pierre F., Wilson C.M., Frunzio L., Metcalfe M., Rigett C., Schoelkopf R.J., Devoret M.H., Vion D. and Esteve D. Direct observation of dynamical bifurcation between two driven oscillation states of a josephson junction. Phys. Rev. Lett., 2005, vol. 94, p. 027005. 20. Runnova A.E., Hramov A.E., Grubov V.V., Koronovskii A.A., Kurovskaуa M.K., Pisarchik A.N. Theoretical background and experimental measurements of human brain noise intensity in perception of ambiguous images. Chaos, Solitons & Fractals, 2016, vol. 93, pp. 201-206. 21. Pisarchik A.N., Kiryanov A., Barmenkov Y., Jaimes-Reategui R. Dynamics of an erbium-doped fiber laser with pump modulation: theory and experiment. J. Opt. Soc. Am. B., 2005, vol. 22, no. 10, pp. 2107- 2114. 22. Pisarchik A.N., Jaimes-Reategui R., Sevilla-Escoboza R., HuertaCuellar G., Taki M. Rogue waves in a multistable system. Phys. Rev. Lett., 2011, vol. 107, p. 274101. 23. Campos-Mejía A., Pisarchik A.N. and Arroyo-Almanza D.A. Noise-induced on-off intermittency in mutually coupled semiconductor lasers. Chaos, Solitons and Fractals, 2013, vol. 54, p. 96.

Received

2017-08-28

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Scientific articles

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