论文标题

调查混乱与三个身体问题之间的关系

Investigating the relation between chaos and the three body problem

论文作者

Venkatesh, T. S. Sachin, Vikranth, Vishak

论文摘要

我们回顾了分形的属性,曼德布罗特集的集合以及确定性混乱与图片的联系方式。一项关于三个身体系统的详细研究,是混乱理论的主要应用之一。研究了迄今为止属于不同家庭的系统,并分析了其性质。然后,我们根据它们的属性将它们分为三个类。我们建议这样的评论以定期时间间隔进行,因为三个车身系统有无限数量的解决方案,其中一些解决方案可能被证明在除层次结构系统以外的各个领域很有用。

We review the properties of fractals, the Mandelbrot set and how deterministic chaos ties to the picture. A detailed study on three body systems, one of the major applications of chaos theory was undertaken. Systems belonging to different families produced till date were studied and their properties were analysed. We then segregated them into three classes according to their properties. We suggest that such reviews be carried out in regular intervals of time as there are an infinite number of solutions for three body systems and some of them may prove to be useful in various domains apart from hierarchical systems.

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