Orientation-reversing Morse-Smale diffeomorphisms on the torus
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- by Steve Batterson PDF
- Trans. Amer. Math. Soc. 264 (1981), 29-37 Request permission
Abstract:
For orientation-reversing 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.References
- Steve Batterson, The dynamics of Morse-Smale diffeomorphisms on the torus, Trans. Amer. Math. Soc. 256 (1979), 395–403. MR 546925, DOI 10.1090/S0002-9947-1979-0546925-1
- Paul Blanchard and John Franks, The dynamical complexity of orientation-reversing homeomorphisms of surfaces, Invent. Math. 62 (1980/81), no. 2, 333–339. MR 595592, DOI 10.1007/BF01389164
- John M. Franks, Some smooth maps with infinitely many hyperbolic periodic points, Trans. Amer. Math. Soc. 226 (1977), 175–179. MR 436221, DOI 10.1090/S0002-9947-1977-0436221-3
- Michael Handel, The entropy of orientation reversing homeomorphisms of surfaces, Topology 21 (1982), no. 3, 291–296. MR 649760, DOI 10.1016/0040-9383(82)90011-8
- William S. Massey, Algebraic topology: An introduction, Harcourt, Brace & World, Inc., New York, 1967. MR 0211390
- Carolyn C. Narasimhan, The periodic behavior of Morse-Smale diffeomorphisms on compact surfaces, Trans. Amer. Math. Soc. 248 (1979), no. 1, 145–169. MR 521698, DOI 10.1090/S0002-9947-1979-0521698-7
- Zbigniew Nitecki, Differentiable dynamics. An introduction to the orbit structure of diffeomorphisms, The M.I.T. Press, Cambridge, Mass.-London, 1971. MR 0649788
- J. Palis, On Morse-Smale dynamical systems, Topology 8 (1968), 385–404. MR 246316, DOI 10.1016/0040-9383(69)90024-X
- J. Palis and S. Smale, Structural stability theorems, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 223–231. MR 0267603
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 264 (1981), 29-37
- MSC: Primary 58F09
- DOI: https://doi.org/10.1090/S0002-9947-1981-0597864-0
- MathSciNet review: 597864