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References
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Blanchard, P. R., “Invariants of the NPT Isotopy Classes of Morse – Smale Diffeomorphisms of Surfaces”, Duke Math. J., 47:1 (1980), 33–46 |
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Grines, V.Ż. and Pochinka, O. V., “On the Simple Isotopy Class of a Source-Sink Diffeomorphism on the $3$-Sphere”, Math. Notes, 94:5–6 (2013), 862–875 ; Mat. Zametki, 94:6 (2013), 828–845 (Russian) |
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Grines, V., Medvedev, T., and Pochinka, O., Dynamical Systems on $2$- and $3$-Manifolds, Dev. Math., 46, Springer, New York, 2016, xxvi, 295 pp. |
[5] |
Maier, A. G., “Rough Transform Circle into a Circle”, Uchen. Zap. Gorkov. Gos. Univ., 1939, no. 12, 215–229 (Russian) |
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Matsumoto, Sh., “There Are Two Isotopic Morse – Smale Diffeomorphisms Which Cannot Be Joined by Simple Arcs”, Invent. Math., 51:1 (1979), 1–7 |
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Newhouse, S. and Peixoto, M. M., “There Is a Simple Arc Joining Any Two Morse – Smale Flows”, Trois études en dynamique qualitative, Astérisque, 31, Soc. Math. France, Paris, 1976, 15–41 |
[9] |
Pochinka, O. V., Nozdrinova, E. V., and Kolobianina, A. E., “Classification of Rough Transformations of a Circle from a Modern Point of View”, Zh. Srednevolzhsk. Mat. Obshch., 19:1 (2017), 1–10 (Russian) |
[10] |
Pochinka, O., Nozdrinova, E., and Dolgonosova, A., “On the Obstructions to the Existence of a Simple Arc Joining the Multidimensional Morse – Smale Diffeomorphisms”, Dinam. Sist., 7(35):2 (2017), 103–111 |
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Palis, J. and Pugh, C. C., “Fifty Problems in Dynamical Systems”, Dynamical Systems: Proc. Sympos. Appl. Topology and Dynamical Systems:Presented to E. C. Zeeman on His Fiftieth Birthday (Univ. Warwick, Coventry, 1973/1974), Lecture Notes in Math., 468, ed. A. Manning, Springer, Berlin, 1975, 345–353 |