Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

M. Argentina; Oraziod Descalzi; E. Tirapegui

doi:10.1142/S0218127402005765

Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

M. Argentina, Oraziod Descalzi, E. Tirapegui

Grupo de Sistemas Complejos de Ingeniería

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

2 Scopus citations

Abstract

The periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box were discussed. It was found that the dynamical systems admits stable and unstable stationary plane wave solutions and homogeneous stationary solutions. The nucleation solutions allowed transitions between stable plane waves.

Original language	American English
Pages (from-to)	2219-2228
Number of pages	10
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	12
Issue number	10
DOIs	https://doi.org/10.1142/S0218127402005765
State	Published - 1 Jan 2002

Keywords

Eckhaus instability
Lyapounov functional
Nucleation solutions
Real Ginzburg-Landau equation

Access to Document

10.1142/S0218127402005765

Fingerprint Dive into the research topics of 'Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box'. Together they form a unique fingerprint.

Cite this

@article{e7d2621207fe44c7ab633510f294d7c0,

title = "Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box",

abstract = "The periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box were discussed. It was found that the dynamical systems admits stable and unstable stationary plane wave solutions and homogeneous stationary solutions. The nucleation solutions allowed transitions between stable plane waves.",

keywords = "Eckhaus instability, Lyapounov functional, Nucleation solutions, Real Ginzburg-Landau equation, Eckhaus instability, Lyapounov functional, Nucleation solutions, Real Ginzburg-Landau equation",

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

year = "2002",

month = jan,

day = "1",

doi = "10.1142/S0218127402005765",

language = "American English",

volume = "12",

pages = "2219--2228",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "10",

}

TY - JOUR

T1 - Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

AU - Argentina, M.

AU - Descalzi, Oraziod

AU - Tirapegui, E.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - The periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box were discussed. It was found that the dynamical systems admits stable and unstable stationary plane wave solutions and homogeneous stationary solutions. The nucleation solutions allowed transitions between stable plane waves.

AB - The periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box were discussed. It was found that the dynamical systems admits stable and unstable stationary plane wave solutions and homogeneous stationary solutions. The nucleation solutions allowed transitions between stable plane waves.

KW - Eckhaus instability

KW - Lyapounov functional

KW - Nucleation solutions

KW - Real Ginzburg-Landau equation

KW - Eckhaus instability

KW - Lyapounov functional

KW - Nucleation solutions

KW - Real Ginzburg-Landau equation

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0036815813&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0036815813&origin=inward

U2 - 10.1142/S0218127402005765

DO - 10.1142/S0218127402005765

M3 - Article

VL - 12

SP - 2219

EP - 2228

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 10

ER -