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Título: | Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities |
Autor: | Parra-Rivas, P. CSIC ORCID; Knobloch, Edgar; Gelens, Lendert CSIC ORCID; Gomila, Damià CSIC ORCID | Palabras clave: | Bifurcation structure Homoclinic snaking Collapsed snaking Nonlinear optics |
Fecha de publicación: | 7-oct-2020 | Editor: | arXiv | Citación: | Parra-Rivas, P.; Knobloch, Edgar; Gelens, Lendert; Gomila, Damià; 2020; Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities [Preprint]; arXiv; https://arxiv.org/abs/2010.03375 | Resumen: | Localized coherent structures can form in externally-driven dispersive optical cavities with a Kerr-type nonlinearity. Such systems are described by the Lugiato-Lefever equation, which supports a large variety of dynamical solutions. Here, we review our current knowledge on the formation, stability and bifurcation structure of localized structures in the one-dimensional Lugiato-Lefever equation. We do so by focusing on two main regimes of operation: anomalous and normal second-order dispersion. In the anomalous regime, localized patterns are organized in a homoclinic snaking scenario, which is eventually destroyed, leading to a foliated snaking bifurcation structure. In the normal regime, however, localized structures undergo a different type of bifurcation structure, known as collapsed snaking. | Versión del editor: | https://arxiv.org/abs/2010.03375 | URI: | http://hdl.handle.net/10261/240830 | DOI: | https://arxiv.org/abs/2010.03375 |
Aparece en las colecciones: | (IFISC) Artículos |
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