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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Characteristics of index one orbits of Morse-Smale diffeomorphisms
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by Richard A. Holmgren PDF
Proc. Amer. Math. Soc. 111 (1991), 271-279 Request permission

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
  • 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
    • —, A variation of the Poincare-Birkhoff theorem, preprint. R. Holmgren, Morse-Smale diffeomorphisms of the three sphere, doctoral dissertation, Northwestern University, 1988.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 271-279
  • MSC: Primary 58F09
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1019273-4
  • MathSciNet review: 1019273