Painting chaos: A gallery of sensitivity plots of classical problems

被引：31
作者：
Barrio, Roberto [1 ]
机构：
[1] Univ Zaragoza, Dept Matemat Aplicada, Grp Mecan Espacial, E-50009 Zaragoza, Spain
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 10期
关键词：
chaos indicators; OFLITT2; Taylor method;
D O I：
10.1142/S021812740601646X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study briefly several chaos indicators and we focus our attention oil the recently developed OFLITT2, 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 OFLITT2 plots of variations in the parameters of the problem, giving a new perspective of the evolution of the problem.
引用
收藏
页码：2777 / 2798
页数：22
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