Fülöp Á
Department of Computer Algebra, University Eötvös Loránd University, Pázmány Péter street 1/C, 1117 Budapest, Hungary.
Chaos. 2019 Aug;29(8):083105. doi: 10.1063/1.5107510.
We consider the concept of statistical complexity to writing the time-dependent damped systems applying the snapshot attractors. This allows us to understand the behavior of these dynamical systems by the probability distribution of the points on the Poincaré section at a given time making a difference between the regular, random, and structural complexity on finite simulation. We interpreted the statistical complexity on the snapshot attractor and determined it in the L84 model, especially the chaotic behavior of the system and on the neighbor range of standard parameter values considering the effect of periodic damping.
我们考虑统计复杂性的概念,以便运用快照吸引子来描述随时间变化的阻尼系统。这使我们能够通过给定时间庞加莱截面点的概率分布来理解这些动力系统的行为,从而在有限模拟中区分规则、随机和结构复杂性。我们解释了快照吸引子上的统计复杂性,并在L84模型中确定了它,特别是考虑周期阻尼的影响时,该系统的混沌行为以及标准参数值的邻域范围。