用浮点算法构造二次映射的分岔图

T. Nazaré, E. Nepomuceno, Bruno P. O. Paiva
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引用次数: 2

摘要

本文分析了浮点算法对二次映射分岔图构造的影响。更确切地说,我们感兴趣的是显示初始条件的依赖性,以获得图的某些特定特征。通过这项研究,可以观察到,当存在关于初始条件的限制时,结果呈现的方面与文献中关于地图行为的方面存在显着差异,因此在其分岔图中有相当大的修改。我们证明这些差异与浮点运算有关
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the Constructing Bifurcation Diagram of the Quadratic Map With Floating-Point Arithmetic
This paper presents an analysis on the effects of floating-point arithmetic on the constructing bifurcation diagram of the quadratic map. More precisely, we are interested in showing the dependence of initial conditions to obtain some specific features of the diagram. With this study, it was possible to observe that when there is a restriction regarding the initial condition, the results present aspects with significant differences of the ones found in the literature regarding the behaviour of the map, consequently there is a considerable modification in its bifurcation diagram. We show that these difference are related to floating-point arithmetic
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