On Homoclinic Points

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1976Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 60, page 221 (issn: 0002-9939,

Copyright policy )

Authors: Newhouse, S.;

doi: 10.2307/2041146 , 10.1090/s0002-9939-1976-0418169-8

On Homoclinic Points

- Summary
- Subjects
- Metrics

Abstract

Results of R. C. Robinson and D. Pixton on the existence of homoclinic points for diffeomorphisms on the two-sphere are extended. An application to area preserving diffeomorphisms on surfaces is given.

Related Organizations

University of North Carolina System
United States
University of North Carolina at Chapel Hill
United States

Keywords

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Stability theory for smooth dynamical systems

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average