2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR
2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR
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DOI：
10.1007/bf01608556
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发表时间：
1976-01-01
影响因子：
2.4
通讯作者：
HENON, M
中科院分区：
文献类型：
--
作者：
HENON, M
Lorenz（1963）研究了一个由三个一阶微分方程组成的系统，其解趋向于一个“奇异吸引子”。我们证明在平面的简单映射中可以观察到相同的性质，定义为：当a=1.4,b= 0.3时，进行了数值实验。根据初始点（x0,y0），通过映射迭代得到的点序列要么发散到无穷大，要么趋向于一个奇怪的吸引子，这个吸引子似乎是一维流形的乘积。通过康托集。
Lorenz (1963) has investigated a system of three first-order differential equations, whose solutions tend toward a “strange attractor”. We show that the same properties can be observed in a simple mapping of the plane defined by:. Numerical experiments are carried out fora=1.4,b= 0.3. Depending on the initial point (x0,y0), the sequence of points obtained by iteration of the mapping either diverges to infinity or tends to a strange attractor, which appears to be the product of a onedimensional manifold.by a Cantor set.