On the Implementation of the 0-1 Test for Chaos
On the Implementation of the 0-1 Test for Chaos
复制标题
DOI：
10.1137/080718851
复制
发表时间：
2009-01-01
影响因子：
2.1
通讯作者：
Melbourne, Ian
中科院分区：
文献类型：
--
作者：
Gottwald, Georg A.;Melbourne, Ian
在本文中，我们解决的实际方面的实施的0-1测试在确定性系统中的混沌。此外，我们提出了一种新的配方的测试，显着提高其灵敏度。该测试可以被视为从功率谱中提取二进制量的方法。该实施受到测试理论论证的最新结果以及探索确定二进制量的更好统计方法的指导。我们给出了几个例子来说明改进。
In this paper we address practical aspects of the implementation of the 0-1 test for chaos in deterministic systems. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method for distilling a binary quantity from the power spectrum. The implementation is guided by recent results from the theoretical justification of the test as well as by exploring better statistical methods for determining the binary quantities. We give several examples to illustrate the improvement.