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

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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

Access to Document

10.1103/PhysRevE.67.015601

Cite this

@article{f2fd84d118634ce78f3f9e35501ec19e,

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.",

keywords = "Saddle-node bifurcation",

author = "O. Descalzi and M. Argentina and E. Tirapegui",

year = "2003",

doi = "10.1103/PhysRevE.67.015601",

language = "English",

volume = "67",

pages = "4",

journal = "Physical Review E",

issn = "1063-651X",

publisher = "American Physical Society",

number = "1",

}

TY - JOUR

T1 - Saddle-node bifurcation

T2 - Appearance mechanism of pulses in the subcritical complex Ginzburg-Landau equation

AU - Descalzi, O.

AU - Argentina, M.

AU - Tirapegui, E.

PY - 2003

Y1 - 2003

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 - http://www.scopus.com/inward/record.url?scp=84878620427&partnerID=8YFLogxK

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this