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.
Complex Lorenz equations
CIS Selected Papers Nonlinear Dynamics of Laser and Optical Systems ; 1997 ; Russia,Russia
Proc. SPIE ; 3177
1997-06-10
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
GWLB - Gottfried Wilhelm Leibniz Bibliothek | 1925
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