Method of controlling chaos in laser equations
Journal Article
·
· Physical Review E; (United States)
- Physics Department, Lawrence Livermore National Laboratory, University of California, Livermore, California 94550 (United States)
A method of controlling chaotic to laminar flows in the Lorenz equations using fixed points dictated by minimizing the Lyapunov functional was proposed by Singer, Wang, and Bau [Phys. Rev. Lett. 66, 1123 (1991)]. Using different fixed points, we find that the solutions in a chaotic regime can also be periodic. Since the laser equations are isomorphic to the Lorenz equations we use this method to control chaos when the laser is operated over the pump threshold. Furthermore, by solving the laser equations with an occasional proportional feedback mechanism, we recover the essential laser controlling features experimentally discovered by Roy, Murphy, Jr., Maier, Gills, and Hunt [Phys. Rev. Lett. 68, 1259 (1992)].
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6899265
- Journal Information:
- Physical Review E; (United States), Journal Name: Physical Review E; (United States) Vol. 47:1; ISSN PLEEE8; ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
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