Dynamics characterization of modified GrossaPitaevskii equation

Dynamics characterization of modified GrossaPitaevskii equation

The dynamics of dissipative and coherent N -body systems, such as a BoseaEinstein condensate, which can be described by an extended GrossaPitaevskii formalism, is investigated. In order to analyze chaotic and unstable regimes, two approaches are considered: a metric one, based on calculations of Lya...

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Veröffentlicht in:Physica A 2013-07, Vol.392 (14), p.3087-3094
Hauptverfasser: Filho, Victo S, Machado, Birajara S, Francisco, Gerson, Tomio, Lauro
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Consistency
Dissipation
Dynamic tests
Dynamical systems
Dynamics
Formalism
Mathematical analysis
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Zusammenfassung:The dynamics of dissipative and coherent N -body systems, such as a BoseaEinstein condensate, which can be described by an extended GrossaPitaevskii formalism, is investigated. In order to analyze chaotic and unstable regimes, two approaches are considered: a metric one, based on calculations of Lyapunov exponents, and an algorithmic one, based on the LempelaZiv criterion. The consistency of both approaches is established, with the LempelaZiv algorithmic found as an efficient complementary approach to the metric one for the fast characterization of dynamical behaviors obtained from finite sequences.
ISSN:0378-4371