ESCAPE FROM STRANGE REPELLERS

ESCAPE FROM STRANGE REPELLERS
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DOI:
10.1073/pnas.81.4.1276
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发表时间:
1984-01-01
期刊:
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES
影响因子:
--
通讯作者:
TANG, C
TANG, C
中科院分区:
其他
文献类型:
--
作者:
KADANOFF, LP;TANG, C

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在一个由映射描述的动力系统中,可能有一组“奇怪”的点在映射下保持不变。如果放置在其邻域中的点远离,则该集合是一个排斥器。逃逸率被定义来描述这种运动。另一种方法评估逃逸率,排斥循环的考虑的基础上,提出。在几种情况下检查数值和分析,逃逸率示出同意所提出的公式。
In a dynamical system described by a map, it may be that a “strange” sets of points is left invariant under the mapping. The set is a repeller if points placed in its neighborhood move away. An escape rate is defined to describe this motion. An alternative method of evaluating the escape rate, based on the consideration of repulsive cycles, is proposed. In the several cases examined numerically and analytically, the escape rate is shown to agree with the proposed formula.