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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: | oct-2021 | Editor: | Oxford University Press | Citación: | IMA Journal of Applied Mathematics 86(5): 856–895 (2021) | 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://doi.org/10.1093/imamat/hxab031 | URI: | http://hdl.handle.net/10261/240834 | DOI: | 10.1093/imamat/hxab031 | ISSN: | 0272-4960 | E-ISSN: | 1464-3634 |
Aparece en las colecciones: | (IFISC) Artículos |
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