References
V. Z. Grines, E. V. Zhuzhoma, and V. S. Medvedev, Mat. Sb. 194 (7), 25 (2003).
V. Z. Grines, E. V. Zhuzhoma, and V. S. Medvedev, Sb. Math. 194 (7), 979 (2003).
V. Grines, E. Gurevich, and O. Pochinka, Regul. Chaotic Dyn. 22 (2), 122 (2017).
V. Z. Grines, E. Ya. Gurevich, E. V. Zhuzhoma, and S. Kh. Zinina, Nonlinear Dinam. 10 (4), 427 (2014).
S. Smale, Bull. Amer. Math. Soc. 73 (6), 747 (1967).
A. A. Andronov, E. A. Leontovich, I. I. Gordon, and A. G. Maier, Qualitative Theory of Second-Order Dynamical Systems (Nauka, Moscow, 1966; Wiley, New York, 1973).
M. Peixoto, in Dynamical Systems (Academic Press, New York, 1973), pp. 389–419.
A. A. Oshemkov and V. V. Sharko, Mat. Sb. 189 (8), 93 (1998).
A. A. Oshemkov and V. V. Sharko, Sb. Math. 189 (8), 1205 (1998).
J. Nielsen, Danske Vid. Selsk. Math.-Fys. Medd. 15, 1 (1937).
Funding
This work was supported by the Russian Science Foundation under grant 17-11-01041, except the work on the proof of Theorem 3, which was performed in the framework of the 2019 Program for Basic Research at National Research University Higher School of Economics (project 100).
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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 1, pp. 145–148.
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Grines, V.Z., Gurevich, E.Y. & Kurenkov, E.D. Topological Classification of Gradient-Like Flows with Surface Dynamics on 3-Manifolds. Math Notes 107, 173–176 (2020). https://doi.org/10.1134/S0001434620010162
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DOI: https://doi.org/10.1134/S0001434620010162