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  1. 1 Cartes C.

  2. 1 Cisternas J.

  3. 1 Descalzi O.

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The transition to explosive solitons and the destruction of invariant tori

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Cisternas J., Descalzi O., Cartes C.
Open Physics
|
2012
|
vol. 10
|
issue 3
660-668
EN
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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