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Found 39 Documents (Results 1–39)

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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Criterion for the existence of an energy function for a regular homeomorphism of the 3-sphere. (English. Russian original) Zbl 1527.37019

Proc. Steklov Inst. Math. 321, 37-53 (2023); translation from Tr. Mat. Inst. Steklova 321, 45-61 (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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On topological classification of regular Denjoy type homeomorphisms. (English. Russian original) Zbl 1523.37050

Dokl. Math. 106, No. 1, 268-271 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 66-70 (2022).
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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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Morse index of saddle equilibria of gradient-like flows on connected sums of \(\mathbb{S}^{n-1}\times \mathbb{S}^1\). (English. Russian original) Zbl 1497.37027

Math. Notes 111, No. 4, 624-627 (2022); translation from Mat. Zametki 111, No. 4, 616-619 (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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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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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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Structurally stable diffeomorphisms with basis sets of codimension one. (English. Russian original) Zbl 1017.37010

Izv. Math. 66, No. 2, 223-284 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 2, 3-66 (2002).
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On structurally stable diffeomorphisms with expanding attractors or contracting repellers of codimension one. (English. Russian original) Zbl 1041.37009

Dokl. Math. 62, No. 2, 274-276 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 6, 735-737 (2000).
MSC:  37C70 37C20 37D20
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Topological classification of flows on closed two-dimensional manifolds. (English. Russian original) Zbl 0615.58015

Russ. Math. Surv. 41, No. 1, 183-208 (1986); translation from Usp. Mat. Nauk 41, No. 1, 149-169 (1986).
Reviewer: C.Pastur
MSC:  37C10 34C05 34D30
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