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Phys. Rev. A 66, 013808 (2002) [12 pages]

Class-A lasers with injected signal: Bifurcation set and Lyapunov–potential function

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Catalina Mayol1,2, Raúl Toral1,2, Claudio R. Mirasso1, and Mario A. Natiello3
1Departament de Física, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain
2Instituto Mediterráneo de Estudios Avanzados (IMEDEA, CSIC-UIB), Campus UIB, E-07071 Palma de Mallorca, Spain
3Centre for Mathematical Sciences, Lund University, S-22100 Lund, Sweden

Received 14 January 2002; published 17 July 2002

We describe the bifurcation set for a class-A laser with an external injected signal in terms of the amplitude and the frequency of the applied field. We explain the dynamical behavior of this kind of lasers in terms of a Lyapunov potential in the case where such a description is possible. In particular, a full description for the deterministic and nondeterministic dynamics can be given by using the Lyapunov potential for some of the external parameters. Depending also on the value of these parameters, the phase of the electric field drifts with time in the stochastic case.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.013808
DOI:
10.1103/PhysRevA.66.013808
PACS:
42.65.Sf, 42.55.Ah, 42.60.Mi