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Topological Methods in Nonlinear Analysis
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Global secondary bifurcation, symmetry breaking and period-doubling

descriptionPublicationkeyboard_double_arrow_right Article , Report , Preprint , Other literature type , Book 10 May 2019Embargo end date: 01 Jan 2018 Germany Publisher:Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus UniversityJournal:Topological Methods in Nonlinear Analysis (issn: 1230-3429, Copyright policy )
Authors: Rainer Mandel;

doi: 10.12775/tmna.2019.025 , 10.48550/arxiv.1803.04903 , 10.5445/ir/1000081073

arXiv: 1803.04903

Global secondary bifurcation, symmetry breaking and period-doubling

Abstract

In this paper we provide a criterion for global secondary bifurcation via symmetry breaking. As an application, the occurrence of period-doubling bifurcations for the Lugiato-Lefever equation is proved.

Country
Germany
Related Organizations
Keywords

ddc:510, Bifurcations in context of PDEs, secondary bifurcation, Bifurcation theory for ordinary differential equations, Lugiato-Lefever equation, global bifurcation, symmetry breaking, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, FOS: Mathematics, period-doubling bifurcation, 47J15, 34C23, 35B32, Abstract bifurcation theory involving nonlinear operators, Mathematics, info:eu-repo/classification/ddc/510, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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bronze