分离矩阵混沌处理的新方法

S. Soskin, R. Mannella, O. Yevtushenko, I. Khovanov, P. McClintock
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引用次数: 2

摘要

我们回顾了分离矩阵混沌的一种方法,它使我们能够通过以下方式解决一些重要问题:(i)解析地找到混沌层的最大宽度,这是一个40年来未解决的问题,并表明最大值可能比以前假设的要大得多;(ii)描述了八年前发现的一种现象,即邻近分离国之间的全球混乱的急剧加剧。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS
We review an approach to separatrix chaos that has allowed us to solve some significant problems by: (i) finding analytically the maximum width of the chaotic layer, a problem that lay unsolved for 40 years, and showing that the maximum may be much larger than had previously been assumed; (ii) describing the drastic facilitation of the onset of global chaos between neighboring separatrices, a phenomenon discovered eight years ago.
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