@inbook{c71225596e344b37a62f5ba9766c8400,
title = "Flower patterns on honeycomb structures",
abstract = "Bifurcation mechanism of honeycomb structures is elucidated by the study of a that is the direct product of O(2) and two reflection group. A flower pattern is theoretically assessed to branch from a triple bifurcation point and is actually found by a numerical analysis of a honeycomb cellular solid. Other bifurcating patterns of interest are found in this study through the analysis of bifurcation points with the multiplicity of six and twelve. Fundamentals of group representation theory in Chap. 7 and group-theoretic bifurcation theory in Chap. 8 are foundations of this chapter.",
keywords = "Bifurcation, Bifurcation equation, Cyclic group, Dihedral group, Equivariant branching lemma, Flower pattern, Group-theoretic bifurcation theory, Hexagonal lattice, Honeycomb structure, 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_17",
language = "English",
series = "Applied Mathematical Sciences (Switzerland)",
publisher = "Springer",
pages = "503--546",
booktitle = "Applied Mathematical Sciences (Switzerland)",
}