Characterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavior

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Descalzi, O (Autor) Outra; Facao, M (Autor) Outra; Cartes, C (Autor) Outra; Maria Inês Barbosa de Carvalho (Autor) FEUP; Brand, HR (Autor) Outra

Revista

Título: Chaos

Vol. 33

ISSN: 1054-1500

Editora: American Institute of Physics

Indexação

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Outras Informações

ID Authenticus: P-00Y-YC1

DOI: 10.1063/5.0156518

Abstract (EN): We investigate the properties of time-dependent dissipative solitons for a cubic complex Ginzburg-Landau equation stabilized by nonlinear gradient terms. The separation of initially nearby trajectories in the asymptotic limit is predominantly used to distinguish qualitatively between time-periodic behavior and chaotic localized states. These results are further corroborated by Fourier transforms and time series. Quasiperiodic behavior is obtained as well, but typically over a fairly narrow range of parameter values. For illustration, two examples of nonlinear gradient terms are examined: the Raman term and combinations of the Raman term with dispersion of the nonlinear gain. For small quintic perturbations, it turns out that the chaotic localized states are showing a transition to periodic states, stationary states, or collapse already for a small magnitude of the quintic perturbations. This result indicates that the basin of attraction for chaotic localized states is rather shallow.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 10