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On the topological equivalence of Morse-Smale diffeomorphisms with a finite set of heteroclinic trajectories on irreducible 3-manifolds

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References

  1. A. N. Bezdenezhnykh and V. Z. Grines, “Dynamical properties and topological classification of gradient-like diffeomorphisms on 2-manifolds,”Methods of the Qualitative Theory of Differential Equations. Mezhvuz. Temat. Sb. Nauchn. Trudov [in Russian], Part 1, Gorkii (1985), pp. 22–38, Part 2, Gorkii (1987), pp. 24–32; English translation in:Selecta Math. Sovetica, Vol. 11, No 1 (1992), pp. 1–17.

  2. A. N. Bezdenezhnykh and V. Z. Grines, “Realization of gradient-like diffeomorphisms of two-dimensional manifolds,”Differential and Integral Equations. Sb. Nauchn. Trudov [in Russian], Gorkii University, Gorkii (1985), pp. 33–37; English translation in:Selecta Math. Sovetica, Vol. 11, No 1 (1992), pp. 19–23.

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Authors and Affiliations

  1. Nizhnii Novgorod State Agriculture Academy, USSR

    V. Z. Grines

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  1. V. Z. Grines
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Translated fromMatematicheskie Zametki, Vol. 58, No. 5, pp. 782–785, November, 1995.

This research was partially supported by the Russian Foundation for Basic Research under grant No. 93-01-01-407, by the International Science Foundation under grant R99000, and by the Foundation “Cultural Initiative.”

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Grines, V.Z. On the topological equivalence of Morse-Smale diffeomorphisms with a finite set of heteroclinic trajectories on irreducible 3-manifolds. Math Notes 58, 1231–1233 (1995). https://doi.org/10.1007/BF02305008

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