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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Characteristics of index one orbits of Morse-Smale diffeomorphisms


Author: Richard A. Holmgren
Journal: Proc. Amer. Math. Soc. 111 (1991), 271-279
MSC: Primary 58F09
MathSciNet review: 1019273
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Abstract: We use Lyapunov functions to find restrictions on the periodic data of index one orbits of Morse-Smale diffeomorphisms. The resulting structure is then used to find connections between index one orbits.


References [Enhancements On Off] (What's this?)

  • [1] John M. Franks, Homology and dynamical systems, CBMS Regional Conference Series in Mathematics, vol. 49, Published for the Conference Board of the Mathematical Sciences, Washington, D.C.; by the American Mathematical Society, Providence, R. I., 1982. MR 669378 (84f:58067)
  • [2] -, A variation of the Poincare-Birkhoff theorem, preprint.
  • [3] R. Holmgren, Morse-Smale diffeomorphisms of the three sphere, doctoral dissertation, Northwestern University, 1988.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1019273-4
PII: S 0002-9939(1991)1019273-4
Article copyright: © Copyright 1991 American Mathematical Society