Abstract
In this chapter we give three illustrations of the general theory of symmetric Hopf bifurcation developed in Chapter XVI. We study systems with dihedral group symmetry D n , systems with O(3) symmetry (corresponding to any irreducible representation), and systems with the symmetry T2 +̇ D6 of the hexagonal lattice. For D n and T2 +̇ D6 we consider the stability of bifurcating branches. These examples illustrate several features of specific applications that have not yet appeared in our discussions, and they show the different levels at which the methods can be used.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Golubitsky, M., Stewart, I., Schaeffer, D.G. (1988). Further Examples of Hopf Bifurcation with Symmetry. In: Singularities and Groups in Bifurcation Theory. Applied Mathematical Sciences, vol 69. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4574-2_10
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4574-2_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8929-6
Online ISBN: 978-1-4612-4574-2
eBook Packages: Springer Book Archive