SMALL RANDOM PERTURBATIONS OF DYNAMICAL-SYSTEMS AND THE DEFINITION OF ATTRACTORS
SMALL RANDOM PERTURBATIONS OF DYNAMICAL-SYSTEMS AND THE DEFINITION OF ATTRACTORS
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DOI：
10.1007/bf01206949
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发表时间：
1981-01-01
影响因子：
2.4
通讯作者：
RUELLE, D
中科院分区：
文献类型：
--
作者：
RUELLE, D
由计算机绘制并在物理实验中看到的“奇怪吸引子”不一定具有开放的吸引盆。鉴于此我们根据康利的思想研究了吸引子的新定义。我们认为，在存在小的随机扰动的情况下观察到的吸引子对应于这个新的定义。
The “strange attractors” plotted by computers and seen in physical experiments do not necessarily have an open basin of attraction. In view of this we study a new definition of attractors based on ideas of Conley. We argue that the attractors observed in the presence of small random perturbations correspond to this new definition.