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Branching in the Presence of Symmetry

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A discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field.

Author(s): David H. Sattinger
Series: CBMS-NSF Regional Conference Series in Applied Mathematics
Publisher: Society for Industrial Mathematics
Year: 1983

Language: English
Pages: 83

Cover......Page 1
Series Title......Page 2
Title......Page 3
Copyright......Page 4
Contents......Page 5
Preface......Page 7
1 Critical Points of Nonconvex Functionals......Page 11
2 Spontaneous Symmetry Breaking......Page 35
3 Equivariant Singularity Theory......Page 57
4 Critical Orbits of Linear Group Actions......Page 69
References......Page 81