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• W2049061805 abstract "We study pattern formation on the plane transverse to propagation direction, in a ring cavity filled with a Kerr-like medium, subject to an elliptically polarized incoming field, by means of two coupled Lugiato-Lefever equations. We consider a wide range of possible values for the coupling parameter between different polarizations, *B*, as may happen in composite materials. Positive and also negative refraction index materials are considered. Examples of marginal instability diagrams are shown. It is shown that, within the model, instabilities cannot be of codimension higher than 3. A method for finding parameters for which codimension 2 or 3 takes place is given. The method allows us to choose parameters for which unstable wavenumbers fulfill different relations. Numerical integration results where different instabilities coexist and compete are shown." @default.
• W2049061805 created "2016-06-24" @default.
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• W2049061805 date "2013-09-01" @default.
• W2049061805 modified "2023-10-08" @default.
• W2049061805 title "Codimension 2 and 3 situations in a ring cavity with elliptically polarized electromagnetic waves" @default.
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• W2049061805 doi "https://doi.org/10.1016/j.physd.2013.05.008" @default.
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