Morse-Smale Endomorphisms of the Circle
- 1 April 1975
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 48 (2) , 457-463
- https://doi.org/10.2307/2040283
Abstract
The orbit structure of a continuously differentiable map of the circle is examined, in the case where the nonwandering set of is finite and hyperbolic. It is shown that there is a natural number such that the period of any periodic point of is times a power of 2.Keywords
This publication has 3 references indexed in Scilit:
- ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELFMathematics of the USSR-Sbornik, 1971
- Endomorphisms of Compact Differentiable ManifoldsAmerican Journal of Mathematics, 1969
- Structural stability on two-dimensional manifoldsTopology, 1962