176 Pages
by
Chapman & Hall
168 Pages
by
Chapman & Hall
168 Pages
by
Chapman & Hall
Also available as eBook on:
This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. Many of the results and examples in the book are new... Read more
Introduction & preliminaries
Hyperoctahedral groups
A zoo of bifurcations
Stability and determinacy
The invariant sphere theorem
Hetroclinic cycles in equivariant bifurcations
Symmetrically coupled cell systems
An example of Z2-transversality in a system of four coupled oscillators
Geometric methods
Converse to the MISC (appendix)
Hints and Solutions to selected exercises
Bibliography
Index
Hyperoctahedral groups
A zoo of bifurcations
Stability and determinacy
The invariant sphere theorem
Hetroclinic cycles in equivariant bifurcations
Symmetrically coupled cell systems
An example of Z2-transversality in a system of four coupled oscillators
Geometric methods
Converse to the MISC (appendix)
Hints and Solutions to selected exercises
Bibliography
Index
Biography
Michael J. Field
