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.
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