Complex Lorenz equations

Andrei G. Vladimirov; Vladislav Yu. Toronov; Vladimir L. Derbov

doi:10.1117/12.276193

10 June 1997 Complex Lorenz equations

Andrei G. Vladimirov, Vladislav Yu. Toronov, Vladimir L. Derbov

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.

Citation Download Citation

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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