The transition to explosive solitons and the destruction of invariant tori

• Authors: Jaime Cisternas , Orazio Descalzi , Carlos Cartes
• Languages of publication: EN

Abstracts

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.

Keywords

EN

explosive dissipative solitons; cubic-quintic Ginzburg-Landau equation; destruction of invariant tori

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 3
• Pages: 660-668

Dates

published

1 - 6 - 2012

online

17 - 6 - 2012

Contributors

author

Jaime Cisternas

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

author

Orazio Descalzi

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

author

Carlos Cartes

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

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Identifiers

DOI

10.2478/s11534-012-0023-1