Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The planar closing lemma for chain recurrence
HTML articles powered by AMS MathViewer

by Maria Lúcia Alvarenga Peixoto and Charles Chapman Pugh
Trans. Amer. Math. Soc. 341 (1994), 173-192
DOI: https://doi.org/10.1090/S0002-9947-1994-1107028-9

Abstract:

If $z$ is a chain recurrent point of a ${C^r}$ planar flow, all of whose fixed points are hyperbolic, then it is proved that the orbit through $z$ becomes periodic under a perturbation that is ${C^r}$ small in the Whitney topology.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 58F30, 58F20, 58F25
  • Retrieve articles in all journals with MSC: 58F30, 58F20, 58F25
Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 341 (1994), 173-192
  • MSC: Primary 58F30; Secondary 58F20, 58F25
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1107028-9
  • MathSciNet review: 1107028