Saddle-node bifurcation: appearance mechanism of pulses in the subcritical complex Ginzburg-Landau equation.
We study stationary, localized solutions in the complex subcritical Ginzburg-Landau equation in the region where there exists coexistence of homogeneous attractors. Using a matching approach, we report on the fact that the appearance of pulses are related to a saddle-node bifurcation. Numerical simulations are in good agreement with our theoretical predictions.
Descalzi
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Facultad de Ingeniería, Universidad de los Andes, Avenida San Carlos de Apoquindo 2200, Santiago, Chile.
Argentina
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Tirapegui
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