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Found 42 Documents (Results 1–42)

A combinatorial invariant of gradient-like flows on a connected sum of \(\mathbb{S}^{n-1}\times\mathbb{S}^1\). (English. Russian original) Zbl 07787327

Sb. Math. 214, No. 5, 703-731 (2023); translation from Mat. Sb. 214, No. 5, 97-127 (2023).
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On embedding of the Morse-Smale diffeomorphisms in a topological flow. (English. Russian original) Zbl 1507.37037

J. Math. Sci., New York 265, No. 6, 868-887 (2022); translation from Sovrem. Mat., Fundam. Napravl. 66, No. 2, 160-181 (2020).
MSC:  37D15 37C20 37C15
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Nonautonomous vector fields on \(S^3\): simple dynamics and wild embedding of separatrices. (English. Russian original) Zbl 1516.37030

Theor. Math. Phys. 212, No. 1, 903-917 (2022); translation from Teor. Mat. Fiz. 212, No. 1, 15-32 (2022).
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Realization of homeomorphisms of surfaces of algebraically finite order by Morse-Smale diffeomorphisms with orientable heteroclinic intersection. (English. Russian original) Zbl 1487.37026

Proc. Steklov Inst. Math. 315, 85-97 (2021); translation from Tr. Mat. Inst. Steklova 315, 95-107 (2021).
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On realization of topological conjugacy classes of Morse-Smale cascades on the sphere \(S^n\). (English. Russian original) Zbl 1456.37027

Proc. Steklov Inst. Math. 310, 108-123 (2020); translation from Tr. Mat. Inst. Steklova 310, 119-134 (2020).
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Diffeomorphisms of 2-manifolds with one-dimensional spaciously situated basic sets. (English. Russian original) Zbl 1456.37033

Izv. Math. 84, No. 5, 862-909 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 5, 40-97 (2020).
MSC:  37D20 37C70 37C15
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The constructing of energy functions for \(\Omega \)-stable diffeomorphisms on 2- and 3-manifolds. (English. Russian original) Zbl 1452.37024

J. Math. Sci., New York 250, No. 4, 537-568 (2020); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 2, 191-222 (2017).
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Scenario of a simple transition from a structurally stable 3-diffeomorphism with a two-dimensional expanding attractor to a DA diffeomorphism. (English. Russian original) Zbl 1445.37018

Proc. Steklov Inst. Math. 308, 141-154 (2020); translation from Tr. Mat. Inst. Steklova 308, 152-166 (2020).
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Classification of Morse-Smale systems and topological structure of the underlying manifolds. (English. Russian original) Zbl 1444.37002

Russ. Math. Surv. 74, No. 1, 37-110 (2019); translation from Usp. Mat. Nauk 74, No. 1, 41-116 (2019).
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Morse-Smale systems and topological structure of carrier manifolds. (English. Russian original) Zbl 1426.37003

J. Math. Sci., New York 239, No. 5, 549-581 (2019); translation from Sovrem. Mat., Fundam. Napravl. 61, 5-40 (2016).
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Classification of one-dimensional attractors of diffeomorphisms of surfaces by means of pseudo-Anosov homeomorphisms. (English. Russian original) Zbl 1416.37032

Dokl. Math. 99, No. 2, 137-139 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 2, 135-138 (2019).
MSC:  37D20 37C70 37C15
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Around Anosov-Weil theory. (English) Zbl 1406.37037

Katok, Anatole (ed.) et al., Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2560-9/pbk; 978-1-4704-4119-7/ebook). Contemporary Mathematics 692, 123-154 (2017).
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The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor. (English. Russian original) Zbl 1359.37068

Trans. Mosc. Math. Soc. 2015, 237-249 (2015); translation from Tr. Mosk. Mat. O.-va 76, No. 2, 271-286 (2015).
MSC:  37D20 37C70
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Topological classification of Morse-Smale diffeomorphisms without heteroclinic intersections. (English. Russian original) Zbl 1378.37044

J. Math. Sci., New York 208, No. 1, 81-90 (2015); translation from Probl. Mat. Anal. 79, 73-81 (2015).
MSC:  37C15 37D05
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Morse-Smale cascades on 3-manifolds. (English. Russian original) Zbl 1277.37055

Russ. Math. Surv. 68, No. 1, 117-173 (2013); translation from Usp. Mat. Nauk 68, No. 1, 129-188 (2013).
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On a topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers. (English. Russian summary) Zbl 1283.37039

Dokl. Math. 86, No. 3, 747-749 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 2, 127-129 (2012).
MSC:  37D20 37C70
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On topological classification of Morse-Smale diffeomorphisms. (English) Zbl 1254.37025

Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science II. DYNA 2008, in honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8–12, 2008. Papers based on talks given at the international conference. Berlin: Springer (ISBN 978-3-642-14787-6/hbk; 978-3-642-14788-3/ebook). Springer Proceedings in Mathematics 2, 403-427 (2011).
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Dynamical systems with nontrivially recurrent invariant manifolds. (English) Zbl 1253.37037

Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science I. DYNA 2008, in honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8–12, 2008. Papers based on talks given at the international conference. Berlin: Springer (ISBN 978-3-642-11455-7/hbk; 978-3-642-11456-4/ebook). Springer Proceedings in Mathematics 1, 421-470 (2011).
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Classification of Morse-Smale diffeomorphisms with one-dimensional set of unstable separatrices. (English. Russian original) Zbl 1226.37012

Proc. Steklov Inst. Math. 270, 57-79 (2010); translation from Trudy Mat. Inst. Steklova 270, 62-85 (2010).
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Peixoto graph of Morse-Smale diffeomorphisms on manifolds of dimension greater than three. (English. Russian original) Zbl 1233.37016

Proc. Steklov Inst. Math. 261, 59-83 (2008); translation from Tr. Mat. Inst. Steklova 261, 61-86 (2008).
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Conditions of topological conjugacy of gradient-like diffeomorphisms on irreducible 3-manifolds. (English. Russian original) Zbl 0883.58017

Math. Notes 59, No. 1, 52-57 (1996); translation from Mat. Zametki 59, No. 1, 73-80 (1996).
Reviewer: A.Klíč (Praha)
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