理解混乱

ACM-SE 28 Pub Date : 1990-04-01 DOI:10.1145/98949.99161
E. Bax
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引用次数: 0

摘要

1989年夏天,我以本科生的身份和海登·波特博士一起研究一个由皮尤纪念信托基金资助的COSEN项目,名为“理解混沌”。我学习了一些非线性系统领域的研究历史,到目前为止,我的研究主要集中在logistic方程上它在实线和复平面上的行为,它的性质,包括在它的领域内出现的一些结构中的比例因子,以及它如何作为一般混沌研究的简化模型。这篇论文代表了一份仍在进行中的工作报告,以及对非线性动力学的一些文献的回顾和我们的一些结果的记录。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Understanding chaos
Over the summer of 1989 I worked as an undergraduate research student with Dr. Hayden Porter through a COSEN grant funded by the Pew Memorial Trust on a project entitled "Understanding Chaos." I studied some of the history of research in the area of nonlinear systems, and my studies so far have concentrated mainly upon the logistic equation its behavior on both the real line and the complex plane, its properties, including scaling factors among some of the structures that arise within its domain, and how it can serve as a simplified model for studies of chaos in general. This paper represents a report on work which is still in progress as well as a review of some of the literature on nonlinear dynamics and a documentation of some of our results.
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