On bifurcation from steady-state solutions to rotating waves in the Kuramoto-Sivashinsky equation

Chang-Pin Li; Zhong-Hua Yang; Guan-Rong Chen

doi:10.1007/s11741-005-0038-6

On bifurcation from steady-state solutions to rotating waves in the Kuramoto-Sivashinsky equation

Chang-Pin Li, Zhong-Hua Yang, Guan-Rong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

1 Citation (Scopus)

Abstract

In this paper, we consider the detection and calculation of bifurcation from nontrivial steady-state solutions to rotating wave solutions of the Kuramoto-Sivashinsky(K-S) equation by using the nonlinear Galerkin method. Numerical results show the efficiency and advantages of the nonlinear Galerkin method over the conventional Galerkin method in this application. © 2005 Shanghai University.

Original language	English
Pages (from-to)	286-291
Journal	Journal of Shanghai University
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/s11741-005-0038-6
Publication status	Published - Aug 2005

Research Keywords

bifurcation
KuramotoHSivashinsky(K-S)
nonlinear Galerkin method

Access Output

10.1007/s11741-005-0038-6

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{d95acae03de048229b1e5ed6784fc401,

title = "On bifurcation from steady-state solutions to rotating waves in the Kuramoto-Sivashinsky equation",

abstract = "In this paper, we consider the detection and calculation of bifurcation from nontrivial steady-state solutions to rotating wave solutions of the Kuramoto-Sivashinsky(K-S) equation by using the nonlinear Galerkin method. Numerical results show the efficiency and advantages of the nonlinear Galerkin method over the conventional Galerkin method in this application. {\textcopyright} 2005 Shanghai University.",

keywords = "bifurcation, KuramotoHSivashinsky(K-S), nonlinear Galerkin method",

author = "Chang-Pin Li and Zhong-Hua Yang and Guan-Rong Chen",

year = "2005",

month = aug,

doi = "10.1007/s11741-005-0038-6",

language = "English",

volume = "9",

pages = "286--291",

journal = "Journal of Shanghai University",

issn = "1007-6417",

publisher = "Springer Verlag",

number = "4",

}

TY - JOUR

T1 - On bifurcation from steady-state solutions to rotating waves in the Kuramoto-Sivashinsky equation

AU - Li, Chang-Pin

AU - Yang, Zhong-Hua

AU - Chen, Guan-Rong

PY - 2005/8

Y1 - 2005/8

N2 - In this paper, we consider the detection and calculation of bifurcation from nontrivial steady-state solutions to rotating wave solutions of the Kuramoto-Sivashinsky(K-S) equation by using the nonlinear Galerkin method. Numerical results show the efficiency and advantages of the nonlinear Galerkin method over the conventional Galerkin method in this application. © 2005 Shanghai University.

AB - In this paper, we consider the detection and calculation of bifurcation from nontrivial steady-state solutions to rotating wave solutions of the Kuramoto-Sivashinsky(K-S) equation by using the nonlinear Galerkin method. Numerical results show the efficiency and advantages of the nonlinear Galerkin method over the conventional Galerkin method in this application. © 2005 Shanghai University.

KW - bifurcation

KW - KuramotoHSivashinsky(K-S)

KW - nonlinear Galerkin method

UR - http://www.scopus.com/inward/record.url?scp=84867951404&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84867951404&origin=recordpage

U2 - 10.1007/s11741-005-0038-6

DO - 10.1007/s11741-005-0038-6

M3 - RGC 22 - Publication in policy or professional journal

SN - 1007-6417

VL - 9

SP - 286

EP - 291

JO - Journal of Shanghai University

JF - Journal of Shanghai University

IS - 4

ER -

On bifurcation from steady-state solutions to rotating waves in the Kuramoto-Sivashinsky equation

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this