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The transition to explosive solitons and the destruction of invariant tori

  • Research Article
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Central European Journal of Physics

Abstract

We investigate the transition to explosive dissipative solitons and the destruction of invariant tori in the complex cubic-quintic Ginzburg-Landau equation in the regime of anomalous linear dispersion as a function of the distance from linear onset. Using Poncaré sections, we sequentially find fixed points, quasiperiodicity (two incommesurate frequencies), frequency locking, two torus-doubling bifurcations (from a torus to a 2-fold torus and from a 2-fold torus to a 4-fold torus), the destruction of a 4-fold torus leading to non-explosive chaos, and finally explosive solitons. A narrow window, in which a 3-fold torus appears, is also observed inside the chaotic region.

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Authors and Affiliations

  1. Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. San Carlos de Apoquindo, 2200, Santiago, Chile

    Jaime Cisternas, Orazio Descalzi & Carlos Cartes

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  1. Jaime Cisternas
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  2. Orazio Descalzi
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  3. Carlos Cartes
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Correspondence to Orazio Descalzi.

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Cisternas, J., Descalzi, O. & Cartes, C. The transition to explosive solitons and the destruction of invariant tori. centr.eur.j.phys. 10, 660–668 (2012). https://doi.org/10.2478/s11534-012-0023-1

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  • DOI: https://doi.org/10.2478/s11534-012-0023-1

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