Affiliation:
1. Grupo de Mecánica Espacial, Depto. Matemática Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain
Abstract
In this paper we study briefly several chaos indicators and we focus our attention on the recently developed [Formula: see text], presenting a numerical scheme for its calculation based on the Taylor method. Using this new indicator we present several sensitivity plots for several classical problems: the Hydrogen Atom in a magnetic field, an Extensible Pendulum, the Heavy-Top, the (N + 1)-body Ring problem and the Duffing-Oscillator. Most of these plots are new and they provide a global picture of the evolution of such a dynamical system. Besides, we show [Formula: see text] plots of variations in the parameters of the problem, giving a new perspective of the evolution of the problem.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)
Cited by
44 articles.
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