@inbook{b9eef89a0ce241d28481947cc0b0ffa6,
title = "Bifurcation behavior of Dn-equivariant systems",
abstract = "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.",
keywords = "Bifurcation, Bifurcation equation, Cyclic group, Dihedral group, Double bifurcation point, Group equivariance, Imperfection, Liapunov–Schmidt reduction, Recursive bifurcation, Symmetry",
author = "Kiyohiro Ikeda and Kazuo Murota",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.",
year = "2019",
doi = "10.1007/978-3-030-21473-9_9",
language = "English",
series = "Applied Mathematical Sciences (Switzerland)",
publisher = "Springer",
pages = "237--295",
booktitle = "Applied Mathematical Sciences (Switzerland)",
}