Saddle-node bifurcation: Appearance mechanism of pulses in the subcritical complex Ginzburg-Landau equation

O. Descalzi; M. Argentina; E. Tirapegui

doi:10.1103/PhysRevE.67.015601

Saddle-node bifurcation: Appearance mechanism of pulses in the subcritical complex Ginzburg-Landau equation

O. Descalzi
, M. Argentina
, E. Tirapegui

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	4
Número de páginas	1
Publicación	Physical Review E
Volumen	67
N.º	1
DOI	https://doi.org/10.1103/PhysRevE.67.015601
Estado	Publicada - 2003

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abstract = "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.",

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AB - 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.

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DO - 10.1103/PhysRevE.67.015601

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Saddle-node bifurcation: Appearance mechanism of pulses in the subcritical complex Ginzburg-Landau equation

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