Bifurcation structure of localized states in the Lugiato-Lefever equation with anomalous dispersion

P. Parra-Rivas, D. Gomila, L. Gelens, E. Knobloch

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)

Abstract

The origin, stability, and bifurcation structure of different types of bright localized structures described by the Lugiato-Lefever equation are studied. This mean field model describes the nonlinear dynamics of light circulating in fiber cavities and microresonators. In the case of anomalous group velocity dispersion and low values of the intracavity phase detuning these bright states are organized in a homoclinic snaking bifurcation structure. We describe how this bifurcation structure is destroyed when the detuning is increased across a critical value, and determine how a bifurcation structure known as foliated snaking emerges.

Original languageEnglish
Article number042204
Number of pages20
JournalPhysical Review E
Volume97
Issue number4
DOIs
Publication statusPublished - 6 Apr 2018

Fingerprint

Dive into the research topics of 'Bifurcation structure of localized states in the Lugiato-Lefever equation with anomalous dispersion'. Together they form a unique fingerprint.

Cite this