The dynamics of Morse-Smale diffeomorphisms on the torus-Reference-Cited by-同舟云学术

The dynamics of Morse-Smale diffeomorphisms on the torus

Published:1979 Issue:0 Volume:256 Page:395-403
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Batterson Steve

Abstract

For orientation preserving diffeomorphisms on the torus necessary and sufficient conditions are given for an isotopy class to admit a Morse-Smale diffeomorphism with a specified periodic behavior.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1979-256-00/S0002-9947-1979-0546925-1/S0002-9947-1979-0546925-1.pdf

Reference11 articles.

1. Structurally stable Grassmann transformations;Batterson, Steve;Trans. Amer. Math. Soc.,1977

2. Some smooth maps with infinitely many hyperbolic periodic points;Franks, John M.;Trans. Amer. Math. Soc.,1977

3. The periodic behavior of Morse-Smale diffeomorphisms;Franks, John;Invent. Math.,1978

4. Cyclotomic fields with unique factorization;Masley, J. Myron;J. Reine Angew. Math.,1976

5. Lectures on the H-Cobordism Theorem

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