English

Global secondary bifurcation, symmetry breaking and period-doubling

Functional Analysis 2018-03-14 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.1803.04903,
  title  = {Global secondary bifurcation, symmetry breaking and period-doubling},
  author = {Rainer Mandel},
  journal= {arXiv preprint arXiv:1803.04903},
  year   = {2018}
}