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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 40
Publisher: Society for Industrial and Applied Mathematics
Year: 1987

Language: English
Pages: 83
City: Philadelphia, Pa

Branching in the Presence of Symmetry......Page 1
Contents......Page 5
Preface......Page 7
CHAPTER 1 Critical Points of Nonconvex Functionals......Page 11
CHAPTER 2 Spontaneous Symmetry Breaking......Page 35
CHAPTER 3 Equivariant Singularity Theory......Page 57
CHAPTER 4 Critical Orbits of Linear Group Actions......Page 69
References......Page 81