@inbook{a6b4c9e908ee46088a95e4dda13a72ba,

title = "Group-Theoretic Bifurcation Theory",

abstract = "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.",

keywords = "Invariant Subspace, Irreducible Representation, Jacobian Matrix, Reciprocal System, Unitary Representation",

author = "Kiyohiro Ikeda and Kazuo Murota",

note = "Publisher Copyright: {\textcopyright} Springer New York 2010.",

year = "2010",

doi = "10.1007/978-1-4419-7296-5_7",

language = "English",

series = "Applied Mathematical Sciences (Switzerland)",

publisher = "Springer",

pages = "151--198",

booktitle = "Applied Mathematical Sciences (Switzerland)",

}