On the geometry of hyperbolic attractors of smooth cascades
On the geometry of hyperbolic attractors of smooth cascades
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光滑级联双曲吸引子的几何
DOI：
10.1070/rm1984v039n06abeh003182
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发表时间：
1984
影响因子：
0.9
通讯作者：
R. V. Plykin
中科院分区：
文献类型：
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作者：
R. V. Plykin
目录 第一章。 ??1．引言（预备知识、广义螺线管以及广义螺线管中吸引子的表示）第二章。 ??1.余维1的双曲吸引子（主要结果的陈述） ??2．定理2.3的证明??3．定理 2.6 和 2.7 的证明草图 ??4．维数大于 2 的基本群的无穷性，允许具有余维扩展吸引子的微分同胚 1 第三章。 ??1.二维球体微分同胚的双曲吸引子??2．除球体以外的表面微分同胚的双曲吸引子
CONTENTS Chapter I. ??1. Introduction (preliminaries, generalized solenoids, and the representation of attractors as generalized solenoids) Chapter II. ??1. Hyperbolic attractors of codimension 1 (statement of the main results) ??2. Proof of Theorem 2.3 ??3. Sketch of a proof of Theorems 2.6 and 2.7 ??4. The infinity of the fundamental group of manifolds of dimension greater than?2 that admit diffeomorphisms with expanding attractors of codimension?1 Chapter III. ??1. Hyperbolic attractors of diffeomorphisms of the two-dimensional sphere ??2. Hyperbolic attractors of diffeomorphisms of surfaces other than the sphere References