Characterization of phase singularities in the vector complex Ginzburg-Landau equation

Mathematics – Logic

Scientific paper

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Nonlinear Dynamics And Chaos, Dynamics Of Nonlinear Optical Systems, Optical Instabilities, Optical Chaos And Complexity, And Optical Spatio-Temporal Dynamics

Scientific paper

The vector complex Ginzburg-Landau equation is an amplitude equation appropriate for describing instabilities in oscillatory media when the order parameter is a vector field (for example, laser light or two-component Bose condensate). It is known that this equation presents a variety of phase singularities or topological defects. We study the parameters that characterize the different kinds of defects and show that the results are useful for a better understanding of the system dynamics.

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