Thumbnail Image
Item

Bifurcation from a degenerate simple eigenvalue

Liu, Ping
; 
Wang, Yuwen
; 
Shi, Junping
Abstract
It is proved that a symmetry-breaking bifurcation occurs at a simple eigenvalue despite the usual transversality condition fails, and this bifurcation from a degenerate simple eigenvalue result complements the classical one with the transversality condition. The new result is applied to an imperfect pitchfork bifurcation, in which a forward transcritical bifurcation changes to a backward one when the perturbation parameter changes. Several applications in ecological and genetics models are shown. (C) 2013 Elsevier Inc. All rights reserved.
Description
Date
2013-01-01
Journal Title
Journal ISSN
Volume Title
Publisher
Collections
Mathematics
Show all metadata
Download Dataset
Files
Thumbnail Image
Bifurcation_from_a_degenerate_simple_eigenvalue.pdf
Adobe PDF, 764.34 KB
Rights Holder
Usage License
Embargo
Research Projects
Organizational Units
Journal Issue
Keywords
Citation
Advisor
Department
Mathematics
DOI
10.1016/j.jfa.2013.02.010
URI
https://scholarworks.wm.edu/handle/internal/805
Embedded videos