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Proceedings Paper

Complex Lorenz equations
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Paper 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.

Paper Details

Date Published: 10 June 1997
PDF: 10 pages
Proc. SPIE 3177, CIS Selected Papers Nonlinear Dynamics of Laser and Optical Systems, (10 June 1997); doi: 10.1117/12.276193
Show Author Affiliations
Andrei G. Vladimirov, St. Petersburg State Univ. (Russia)
Vladislav Yu. Toronov, Saratov State Univ. (Russia)
Vladimir L. Derbov, Saratov State Univ. (Russia)


Published in SPIE Proceedings Vol. 3177:
CIS Selected Papers Nonlinear Dynamics of Laser and Optical Systems
Valery V. Tuchin, Editor(s)

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