Periodic and quasi-periodic solutions for the complex Ginzburg-Landau equation

K. W. Chung; Xiaoping Yuan

doi:10.1088/0951-7715/21/3/004

Periodic and quasi-periodic solutions for the complex Ginzburg-Landau equation

K. W. Chung
, Xiaoping Yuan

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

19 Citations (Scopus)

Abstract

In this paper, we prove that there are a continuous branch of periodic solutions and a Cantorian branch of quasi-periodic solutions for the complex Ginzburg-Landau equation for some coefficients of the linear driving term and the dissipation term and these solutions are normally hyperbolic. © 2008 IOP Publishing Ltd and London Mathematical Society.

Original language	English
Pages (from-to)	435-451
Journal	Nonlinearity
Volume	21
Issue number	3
DOIs	https://doi.org/10.1088/0951-7715/21/3/004
Publication status	Published - 1 Mar 2008

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title = "Periodic and quasi-periodic solutions for the complex Ginzburg-Landau equation",

abstract = "In this paper, we prove that there are a continuous branch of periodic solutions and a Cantorian branch of quasi-periodic solutions for the complex Ginzburg-Landau equation for some coefficients of the linear driving term and the dissipation term and these solutions are normally hyperbolic. {\textcopyright} 2008 IOP Publishing Ltd and London Mathematical Society.",

author = "Chung, \{K. W.\} and Xiaoping Yuan",

year = "2008",

month = mar,

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doi = "10.1088/0951-7715/21/3/004",

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TY - JOUR

T1 - Periodic and quasi-periodic solutions for the complex Ginzburg-Landau equation

AU - Chung, K. W.

AU - Yuan, Xiaoping

PY - 2008/3/1

Y1 - 2008/3/1

N2 - In this paper, we prove that there are a continuous branch of periodic solutions and a Cantorian branch of quasi-periodic solutions for the complex Ginzburg-Landau equation for some coefficients of the linear driving term and the dissipation term and these solutions are normally hyperbolic. © 2008 IOP Publishing Ltd and London Mathematical Society.

AB - In this paper, we prove that there are a continuous branch of periodic solutions and a Cantorian branch of quasi-periodic solutions for the complex Ginzburg-Landau equation for some coefficients of the linear driving term and the dissipation term and these solutions are normally hyperbolic. © 2008 IOP Publishing Ltd and London Mathematical Society.

UR - https://www.scopus.com/pages/publications/43049111763

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-43049111763&origin=recordpage

U2 - 10.1088/0951-7715/21/3/004

DO - 10.1088/0951-7715/21/3/004

M3 - RGC 21 - Publication in refereed journal

SN - 0951-7715

VL - 21

SP - 435

EP - 451

JO - Nonlinearity

JF - Nonlinearity

IS - 3

ER -

Periodic and quasi-periodic solutions for the complex Ginzburg-Landau equation

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