Hausdorff dimension of Cantor attractors in one-dimensional dynamics
Hausdorff dimension of Cantor attractors in one-dimensional dynamics
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DOI：
10.1007/s00222-007-0083-9
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发表时间：
2008-02
影响因子：
3.1
通讯作者：
Simin Li;W. Shen
中科院分区：
文献类型：
--
作者：
Simin Li;W. Shen
本文研究了具有非平坦临界点的光滑区间映射的Cantor吸引子的Hausdorff维数。我们证明了Hausdorff维数由一个小于1的常数从上有界，该常数仅取决于临界点的个数和阶。
In this paper, we study the Hausdorff dimension of Cantor attractors of smooth interval maps with non-flat critical points. We prove that the Hausdorff dimension is bounded from above by a constant less than 1 which depends only on the number and order of the critical points.