Nondegenerate homoclinic tangency and hyperbolic sets

Ming-Chia Li*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Nondegenerate homoclinic tangency on a surface and hyperbolic sets were studied. Results were obtained which described local phenomena near the orbit of the tangency. It was shown that a nondegenerate homoclinic tangency on a surface was accumulated by a sequence of uniformly hyperbolic sets.

Original languageEnglish
Pages (from-to)1521-1533
Number of pages13
JournalNonlinear Analysis, Theory, Methods and Applications
Volume52
Issue number5
DOIs
StatePublished - 1 Feb 2003

Keywords

  • Cone field
  • Nondegenerate homoclinic tangency
  • The Hénon map
  • Uniform and nonuniformly hyperbolic sets

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