Dynamics characterization of modified Gross-Pitaevskii equation
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The dynamics of dissipative and coherent N-body systems, such as a Bose-Einstein condensate, which can be described by an extended Gross-Pitaevskii 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 Lempel-Ziv criterion. The consistency of both approaches is established, with the Lempel-Ziv algorithmic found as an efficient complementary approach to the metric one for the fast characterization of dynamical behaviors obtained from finite sequences. © 2013 Elsevier B.V. All rights reserved.
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Bose-Einstein condensates, Chaos, Nonlinear dynamics, Numerical simulations, Time series analysis, Dynamical behaviors, Finite sequence, Gross-Pitaevskii equation, Lyapunov exponent, N-body system, Two Approaches, Algorithms, Chaos theory, Computer simulation, Dynamics, Lyapunov methods, Statistical mechanics, Bose-Einstein condensation
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Physica A: Statistical Mechanics and its Applications, v. 392, n. 14, p. 3087-3094, 2013.