Bifurcation behavior of Dn-equivariant systems

Kiyohiro Ikeda, Kazuo Murota

研究成果: Chapter

抄録

Group-theoretic bifurcation theory presented in Chap. 8 is applied to systems with dihedral group symmetry. The perfect and imperfect bifurcation behaviors of such systems in the neighborhood of bifurcation points are investigated using bifurcation equations. A hierarchy of subgroups expressing recursive bifurcation is obtained. Chapter 7 gives fundamentals of group and group representation employed herein. This chapter is a prerequisite for Chaps. 10 – 13 that deal with perfect and imperfect bifurcations of such systems.

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237-295
ページ数59
DOI
出版ステータスPublished - 2019

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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