Journal article
Equivariant Hopf bifurcation with general pressure laws
Physica. D, Vol.310, pp.79-94
08/15/2015
DOI: 10.1016/j.physd.2015.06.009
Abstract
The equivariant Hopf bifurcation dynamics of a class of system of partial differential equations is studied. The connections between the current dynamics and fundamental concepts in hyperbolic conservation laws are explained. The unique approximation property of center manifold reduction function is used in the current work to determine certain parameter in the normal form. The current work generalizes the study of the second author (J. Yao, 2014) and discovers a class of examples of O(2) Hopf bifurcation with two parameters arising from systems of partial differential equations. Published by Elsevier B.V.
Details
- Title: Subtitle
- Equivariant Hopf bifurcation with general pressure laws
- Creators
- Tong Li - University of IowaJinghua Yao - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physica. D, Vol.310, pp.79-94
- Publisher
- ELSEVIER SCIENCE BV
- DOI
- 10.1016/j.physd.2015.06.009
- ISSN
- 0167-2789
- eISSN
- 1872-8022
- Number of pages
- 16
- Language
- English
- Date published
- 08/15/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984240778402771
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