|
|||||
|
|
| Authors: | Lan Wen Zhihong Xia |
| Institution: | Department of Mathematics, Peking University, Beijing, 100871, China ; Department of Mathematics, Northwestern University, Evanston, Illinois 60208 |
| Abstract: | Like the closing lemma, the connecting lemma is of fundamental importance in dynamical systems. Hayashi recently proved the  connecting lemma for stable and unstable manifolds of a hyperbolic invariant set. In this paper, we prove several very general  connecting lemmas. We simplify Hayashi's proof and extend the results to more general cases. |
| Keywords: | |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |