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arxiv: 1803.04903 · v1 · pith:FDRX3LEAnew · submitted 2018-03-13 · 🧮 math.FA · math.AP

Global secondary bifurcation, symmetry breaking and period-doubling

classification 🧮 math.FA math.AP
keywords bifurcationbreakingglobalperiod-doublingsecondarysymmetryapplicationbifurcations
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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.

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