𝐶¹ Connecting Lemmas-Reference-Cited by-同舟云学术

𝐶¹ Connecting Lemmas

Published:2000-07-18 Issue:11 Volume:352 Page:5213-5230
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Wen Lan,Xia Zhihong

Abstract

Like the closing lemma, the connecting lemma is of fundamental importance in dynamical systems. Hayashi recently proved the C 1 C^1 connecting lemma for stable and unstable manifolds of a hyperbolic invariant set. In this paper, we prove several very general C 1 C^1 connecting lemmas. We simplify Hayashi’s proof and extend the results to more general cases.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-11/S0002-9947-00-02553-8/S0002-9947-00-02553-8.pdf

Reference16 articles.

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4. A simpler proof of 𝐶¹ closing lemma;Mai, Jie Hua;Sci. Sinica Ser. A,1986

5. On the creation of homoclinic points;Mañé, Ricardo;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1988

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