DIMENSION OF STRANGE ATTRACTORS
DIMENSION OF STRANGE ATTRACTORS
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DOI：
10.1103/physrevlett.45.1175
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发表时间：
1980-01-01
影响因子：
8.6
通讯作者：
OTT, E
中科院分区：
文献类型：
--
作者：
RUSSELL, DA;HANSON, JD;OTT, E
最近，研究了具有奇异吸引子的映射的李雅普诺夫数与奇异吸引子维数之间的关系。在这里，该猜想的数值测试与使用几个不同的地图，其中一个结果从系统的常微分方程发生在等离子体物理。对于测试的情况下，该猜想被验证所获得的准确性。
A relationship between the Lyapunov numbers of a map with a strange attractor and the dimension of the strange attractor has recently been conjectured. Here, the conjecture is numerically tested with use of several different maps, one of which results from a system of ordinary differential equations occurring in plasma physics. For the cases tested, the conjecture is verified to within the obtained accuracy.