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arXiv 1803.03480nlin.CD
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确定盆地何时为和田:合并方法

Ascertaining when a basin is Wada: the merging method

Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán

摘要:

试图想象由一个独特的边界分开的三个区域似乎是一项艰巨的任务。然而,这正是许多显示和田盆地的动力系统中所发生的情况。在这里,我们提出了一个新的角度对和田财产:和田边界是唯一一个保持不变的行动下合并盆地。这一观察允许开发一种新的方法来测试Wada属性,这比以前的方法快得多。此外,合并方法的另一个主要优点是不需要详细的动力系统知识。

英文摘要:

Trying to imagine three regions separated by a unique boundary seems a difficult task. However, this is exactly what happens in many dynamical systems showing Wada basins. Here, we present a new perspective on the Wada property: A Wada boundary is the only one that remains unaltered under the action of merging the basins. This observation allows to develop a new method to test the Wada property, which is much faster than the previous ones. Furthermore, another major advantage of the merging method is that a detailed knowledge of the dynamical system is not required.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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