The transition to explosive solitons and the destruction of invariant tori
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AbstractWe 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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2010 ◽
Vol 9
(3)
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pp. 883-918
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2011 ◽
Vol 28
(10)
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pp. 2314
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2015 ◽
Vol 373
(2056)
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pp. 20150114
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