Intermittency and period-doubling cascade on tori in a bimode laser model

Chaos, Solitons and Fractals

Volumn 33, Issue 3, 2007, Pages 782-794

  Letellier, Christophe ^a   Bennoud, Mounia ^a   Martel, Gilles ^a  

^a UNIVERSITÉ DE ROUEN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DOPING (ADDITIVES); LIGHT POLARIZATION; MATHEMATICAL MODELS; NEODYMIUM; NONLINEAR SYSTEMS; TIME SERIES ANALYSIS;

BIMODE LASER MODELS; INTERMITTENT REGIMES; POLYMER-BASED SATURABLE ABSORBER; THIN SLICE;

FIBER LASERS;

EID: 33847612781     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.109     Document Type: Article

References (32)

1. Martel G., Bennoud M., Ortac B., Chartier T., Nunzi J.-M., Boudebs G., et al. Dynamics of a vectorial neodymium-doped fibre laser passively Q switched by a polymer-based saturable absorber. J Modern Opt 51 1 (2004) 85-95
2. Abarbanel H.D.I., Brown R., Sidorowich J.J., and Tsimring L.Sh. The analysis of observed chaotic data in physical systems. Rev Modern Phys 65 4 (1993) 1331-1388
3. Gilmore R. Topological analysis of chaotic dynamical systems. Rev Modern Phys 70 4 (1998) 1455-1529
4. Tang D.Y., Pujol J., and Weiss C.O. Type-iii intermittency of a laser. Phys Rev A 44 1 (1991) R35-R38
5. Tang D.Y., Li M.Y., and Weiss C.O. Laser dynamics of type-I intermittency. Phys Rev A 46 1 (1992) 676-678
6. Pujol J., Arjona M., and Corbalán R. Type-III intermittency in a four-level coherently pumped laser. Phys Rev A 48 3 (1993) 2251-2255
7. Tang D.Y., Heckenberg N.R., and Weiss C.O. The optical field of type-III intermittency pulsing in a single mode laser. Phys Lett A 202 (1995) 363-368
8. Weiss C.O., and Brock J. Evidence for Lorenz-type chaos in a laser. Phys Rev Lett 57 22 (1986) 2804-2806
9. Sacher J., Elsässer W., and Göbel E.O. Intermittency in the coherence collapse of a semiconductor laser with external feedback. Phys Rev Lett 63 20 (1989) 2224-2227
10. San-Martin J., and Antoranz J.C. Type-II intermittency with a double reinjection channel: multintermittency. Phys Lett A 219 (1996) 69-73
11. Arnéodo A., Coullet P.H., and Spiegel E.A. Cascade of period doublings of tori. Phys Lett A 94 1 (1983) 1
12. Iooss G., and Los J. Quasigenericity of bifurcations to high dimensional invariant tori for maps. Commmun Math Phys 119 (1988) 453-500
13. Basset M.R., and Hudson J.L. Experimental evidence of period-doubling of tori during an electrochemical reaction. Physica D 35 (1989) 289-298
14. Flesseles J.-M., Croquette V., and Jucquois S. Period-doubling of a torus in a chain of oscillators. Phys Rev Lett 72 18 (1994) 2871-2874
15. dos Santos EP, Caldas IL, Baptista MS. Two-frequency torus breakdown in the driven Matsumoto-Chua circuit. In: ICONNE 2000.
16. Letellier C. Modding out a continuous rotation symmetry for disentangling a laser dynamics. Int J Bifurc Chaos 13 6 (2003) 1573-1577
17. Zeghache H., and Mandel P. Influence of detuning on the properties of laser equations. J Opt Soc Am B 2 (1985) 18-22
18. Bielawski S., Derozier D., and Glorieux P. Antiphase dynamics and polarization effects in the Nd-doped fiber laser. Phys Rev A 46 (1992) 2811-2822
19. Chartier T., Sanchez F., and Stéphan G. General model for a multimode Nd-doped fiber laser. I: construction of the model. Appl Phys B 70 (2000) 23-31
20. 2 lasers. Optic Commun 165 (1999) 251-259
21. Susa I., Erneux T., Barsella A., Lepers C., Dangoisse D., and Glorieux P. Synchronization through bursting oscillations for two coupled lasers. Phys Rev A 63 (2001) 013815
22. Barsella A., and Lepers C. Chaotic lag synchronization and pulse-induced transient chaos in lasers coupled by saturable absorber. Optic Commun 205 (2002) 397-403
23. Nunzi J.M., Pfeffer N., Naudin C., Delysse S., Molva E., Marty J., et al. Study of polymers for saturable absorption: application to monolithic Q-switched microlasers. Nonlinear Opt 15 (1996) 243-246
24. 3+ doped fibre laser. Quantum Semiclass Opt 7 (1995) 757-794
25. Chartier T., Sanchez F., and Stéphan G. Bipolarized Nd-doped fibre laser: effects of localized and distributed dichroi{dotless}̈sms. Quantum Semiclass Opt 10 (1998) 79-86
26. Le Flohic M., François P.L., Allain J.Y., Sanchez F., and Stéphan G. Dynamics of the transient buildup of emission in neodymium-doped fiber lasers. Opt Quantum Electron 27 (1991) 1910-1921
27. Sanchez F., and Stéphan G. General analysis of instabilities in erbium-doped fiber lasers. Phys Rev E 53 (1996) 2110-2122
28. Besnard P., Ginovart F., Le Boudec P., Sanchez F., and Stéphan G.M. Experimental and theoretical study of bifurcation diagrams of a dual-wavelength erbium-doped fiber laser. Optic Commun 205 (2002) 187-195
29. Feigenbaum M.J. Quantitative universality for a class of nonlinear transformation. J Statist Phys 19 1 (1978) 25-52
30. Coullet P., and Tresser C. Itérations d'endomorphismes et groupe de renormalisation. J Phys Coll C 5 39 (1978) 5-25 [supplément au no 8]
31. Pomeau Y., and Manneville P. Intermittent transition to turbulence in dissipative dynamical systems. Commun Math Phys 74 (1980) 189-197
32. Bergé P., Pomeau Y., and Vidal C. L'ordre dans le chaos. [Trans: Order within chaos. New York: Wiley; 1986] (1984), Hermann, Paris