Stretching and Folding in Lynx Fur Returns: Evidence for a Strange Attractor in Nature?

Stretching and Folding in Lynx Fur Returns: Evidence for a Strange Attractor in Nature?
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DOI:
10.1086/284318
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发表时间:
1984-12
期刊:
The American Naturalist
影响因子:
--
通讯作者:
W. Schaffer
W. Schaffer
中科院分区:
其他
文献类型:
--
作者:
W. Schaffer

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一个三维的相位画像毛皮返回加拿大猞猁构造从一个单一的变量的时间序列。由此产生的轨道基本上是片状的,并表现出连续的拉伸和折叠,这是低维奇怪吸引子的标志。对相关一维地图的分析表明,观测到的波动,以及由此产生的拉伸和折叠,很可能代表了一个至少有两次周期性的轨道,其中叠加了噪声。
A three-dimensional phase portrait for fur returns of Canadian lynx is constructed from a time series for a single variable. The resulting orbit is essentially sheetlike and exhibits successive stretching and folding, a hallmark of low-dimensional, strange attractors. Analysis of the associated one-dimensional map suggests that the observed fluctuations, and hence the stretching and folding, most likely represent an orbit which was at least twice periodic with noise superimposed.