Group-Theoretic Bifurcation Theory

Kiyohiro Ikeda, Kazuo Murota

研究成果: Chapter

抄録

Qualitative aspects of symmetry-breaking bifurcation can be described by grouptheoretic bifurcation theory. In view of the symmetry of the system under consideration, possible critical points and bifurcated solutions can be classified, and the behavior of these solutions in a neighborhood of each critical point can be investigated thoroughly by the Liapunov–Schmidt reduction. An extremely important finding of this theory is that the mechanism of such bifurcation does not depend on individual material or physical properties but on the symmetry of the system under consideration.

本文言語English
ホスト出版物のタイトルApplied Mathematical Sciences (Switzerland)
出版社Springer
ページ151-198
ページ数48
DOI
出版ステータスPublished - 2010

出版物シリーズ

名前Applied Mathematical Sciences (Switzerland)
149
ISSN(印刷版)0066-5452
ISSN(電子版)2196-968X

ASJC Scopus subject areas

  • 応用数学

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