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

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dc.coverageDOI: 10.1063/5.0156518
dc.creatorDescalzi, Orazio
dc.creatorFacão, M.
dc.creatorCartes, Carlos
dc.creatorCarvalho, M. I.
dc.creatorBrand, Helmut R.
dc.date2023
dc.date.accessioned2025-11-18T19:42:47Z
dc.date.available2025-11-18T19:42:47Z
dc.description<p>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.</p>eng
dc.identifierhttps://investigadores.uandes.cl/en/publications/cfcb26ee-76c5-402e-92c4-54c206f0814a
dc.identifier.urihttps://repositorio.uandes.cl/handle/uandes/52515
dc.languageeng
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.sourcevol.33 (2023) date: 2023-08-01 nr.8
dc.titleCharacterization of time-dependence for dissipative solitons stabilized by nonlinear gradient terms: Periodic and quasiperiodic vs chaotic behavioreng
dc.typeArticleeng
dc.typeArtículospa
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