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.
Filho, V. S., Machado, B. S., Francisco, G., & Tomio, L. (2013). Dynamics characterization of modified Gross-Pitaevskii equation. Physica A: Statistical Mechanics and Its Applications, 392(14), 3087–3094. https://doi.org/10.1016/j.physa.2013.03.013