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Oscillatory dissipative solitons stabilized by nonlinear gradient terms: The transition to localized spatiotemporal
Orazio Descalzi1,2, Carlos Cartes1, Helmut R Brand2
1Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Chile.
Abstract:
We investigate properties of oscillatory dissipative solitons (DSs) in a cubic complex Ginzburg-Landau equation stabilized by nonlinear gradient terms. As a main result we find a transition to dissipative solitons with spatiotemporal disorder as a function of the diffusion coefficient. This transition proceeds via quasiperiodicity and shows incommensurate satellites next to the fundamental frequency and its harmonics indicating a possible route to localized spatiotemporal chaos. The transition back to oscillatory DSs follows a similar scenario.
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