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

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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.

Original language	English
Pages (from-to)	4
Number of pages	1
Journal	Physical Review E
Volume	67
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.67.015601
State	Published - 2003

Keywords

Saddle-node bifurcation

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10.1103/PhysRevE.67.015601

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

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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AU - Descalzi, O.

AU - Argentina, M.

AU - Tirapegui, E.

PY - 2003

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N2 - 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.

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.

KW - Saddle-node bifurcation

UR - https://www.scopus.com/pages/publications/84878620427

U2 - 10.1103/PhysRevE.67.015601

DO - 10.1103/PhysRevE.67.015601

M3 - Article

AN - SCOPUS:84878620427

SN - 1063-651X

VL - 67

SP - 4

JO - Physical Review E

JF - Physical Review E

IS - 1

ER -

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

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Keywords

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