C1 connecting lemmas

Lan Wen*, Zhihong Xia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

54 Scopus citations

Abstract

Like the closing lemma, the connecting lemma is of fundamental importance in dynamical systems. Hayashi recently proved the C1 connecting lemma for stable and unstable manifolds of a hyperbolic invariant set. In this paper, we prove several very general C1 connecting lemmas. We simplify Hayashi's proof and extend the results to more general cases.

Original languageEnglish (US)
Pages (from-to)5213-5230
Number of pages18
JournalTransactions of the American Mathematical Society
Volume352
Issue number11
DOIs
StatePublished - 2000

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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