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10 June 1997 Complex Lorenz equations
Andrei G. Vladimirov, Vladislav Yu. Toronov, Vladimir L. Derbov
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Proceedings Volume 3177, CIS Selected Papers Nonlinear Dynamics of Laser and Optical Systems; (1997) https://doi.org/10.1117/12.276193
Event: Nonlinear Dynamics of Laser and Optical Systems, 1997, Russia, Russian Federation
Abstract
For the complex Lorenz model, which is one of basic laser models, it is shown that the phase space has the geometric structure associated with a fiber bundle. Using the equation of motion in the base space of the fiber bundle, we find the surfaces bounding the attractors in this space. The homoclinic `butterfly' responsible for the Lorenz-like attractor appearance is shown to correspond to a codimension-two bifurcation.
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Andrei G. Vladimirov, Vladislav Yu. Toronov, and Vladimir L. Derbov "Complex Lorenz equations", Proc. SPIE 3177, CIS Selected Papers Nonlinear Dynamics of Laser and Optical Systems, (10 June 1997); https://doi.org/10.1117/12.276193
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KEYWORDS
Motion models
Fiber lasers
Structured optical fibers
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