A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS

The Random and Fluctuating World Pub Date : 2009-05-04 DOI:10.1063/1.3140446

S. Soskin, R. Mannella, O. Yevtushenko, I. Khovanov, P. McClintock

引用次数: 2

Abstract

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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分离矩阵混沌处理的新方法

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。

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来源期刊

The Random and Fluctuating World

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