Symmetry-breaking bifurcation in O(2)×O(2)-symmetric nonlinear large problems and its application to the Kuramoto–Sivashinsky equation in two spatial dimensions-Reference-Cited by-同舟云学术

Symmetry-breaking bifurcation in O(2)×O(2)-symmetric nonlinear large problems and its application to the Kuramoto–Sivashinsky equation in two spatial dimensions

Published:2004-10 Issue:2 Volume:22 Page:451-468
ISSN:0960-0779
Container-title:Chaos, Solitons & Fractals
language:en
Short-container-title:Chaos, Solitons & Fractals

Author:

Li Changpin,Yang Zhonghua

Publisher

Elsevier BV

Subject

General Mathematics,General Physics and Astronomy,Statistical and Nonlinear Physics,Applied Mathematics

Reference16 articles.

1. The computation of symmetry-breaking bifurcation points;Werner;SIAM J. Numer. Anal.,1984

2. Double high order S-breaking bifurcation points and their numerical determination;Yang;Appl. Math. Mech.,1996

3. The computation of symmetry-breaking bifurcation points in Z2×Z2-symmetric nonlinear problems;Ye;Appl. Math.––A J. Chin. Univ.,1995

4. Long waves in liquid film;Benny;J. Math. Phys.,1966

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