Medvedev, Vladislav S.; Zhuzhoma, E. V. On a classification of chaotic laminations which are nontrivial basic sets of axiom a flows. (English) Zbl 1528.37023 Russ. J. Nonlinear Dyn. 19, No. 2, 227-237 (2023). MSC: 37C15 37E35 37D05 37D20 37C86 PDFBibTeX XMLCite \textit{V. S. Medvedev} and \textit{E. V. Zhuzhoma}, Russ. J. Nonlinear Dyn. 19, No. 2, 227--237 (2023; Zbl 1528.37023) Full Text: DOI MNR
Grines, Vyacheslav Z.; Medvedev, Vladislav S.; Zhuzhoma, Evgeny V. On the topological structure of manifolds supporting axiom a systems. (English) Zbl 1517.37034 Regul. Chaotic Dyn. 27, No. 6, 613-628 (2022). MSC: 37D15 37C20 37C15 37C25 37C27 37C29 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Regul. Chaotic Dyn. 27, No. 6, 613--628 (2022; Zbl 1517.37034) Full Text: DOI
Zhuzhoma, E. V.; Medvedev, V. S. Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms. (English. Russian original) Zbl 1475.37016 Sb. Math. 212, No. 1, 57-69 (2021); translation from Mat. Sb. 212, No. 1, 63-77 (2021). Reviewer: David E. Hurtubise (Altoona) MSC: 37B02 37D05 37B25 37C75 37D15 37C25 37C15 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Sb. Math. 212, No. 1, 57--69 (2021; Zbl 1475.37016); translation from Mat. Sb. 212, No. 1, 63--77 (2021) Full Text: DOI
Medvedev, V.; Zhuzhoma, E. Any closed 3-manifold supports A-flows with 2-dimensional expanding attractors. (English) Zbl 1524.37032 Appl. Math. Nonlinear Sci. 5, No. 2, 307-310 (2020). MSC: 37D05 37B35 37C70 PDFBibTeX XMLCite \textit{V. Medvedev} and \textit{E. Zhuzhoma}, Appl. Math. Nonlinear Sci. 5, No. 2, 307--310 (2020; Zbl 1524.37032) Full Text: DOI
Grines, V. Z.; Gurevich, E. Ya.; Medvedev, V. S. 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). MSC: 37C15 37C20 37C05 37D15 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Proc. Steklov Inst. Math. 310, 108--123 (2020; Zbl 1456.37027); translation from Tr. Mat. Inst. Steklova 310, 119--134 (2020) Full Text: DOI
Zhuzhoma, E. V.; Medvedev, V. S. On two-dimensional expanding attractors of A-flows. (English. Russian original) Zbl 1446.37031 Math. Notes 107, No. 5, 854-857 (2020); translation from Mat. Zametki 107, No. 5, 787-790 (2020). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C70 37D15 37C05 37C15 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Math. Notes 107, No. 5, 854--857 (2020; Zbl 1446.37031); translation from Mat. Zametki 107, No. 5, 787--790 (2020) Full Text: DOI arXiv
Zhuzhoma, E. V.; Medvedev, V. S. Conjugacy of Morse-Smale diffeomorphisms with three nonwandering points. (English. Russian original) Zbl 1412.37025 Math. Notes 104, No. 5, 753-757 (2018); translation from Mat. Zametki 104, No. 5, 775-780 (2018). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 37C15 37D15 37C05 37D05 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Math. Notes 104, No. 5, 753--757 (2018; Zbl 1412.37025); translation from Mat. Zametki 104, No. 5, 775--780 (2018) Full Text: DOI
Grines, V. Z.; Zhuzhoma, E. V.; Medvedev, V. S. On the structure of the ambient manifold for Morse-Smale systems without heteroclinic intersections. (English. Russian original) Zbl 1377.37045 Proc. Steklov Inst. Math. 297, 179-187 (2017); translation from Tr. Mat. Inst. Steklova 297, 201-210 (2017). MSC: 37D15 37C05 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Proc. Steklov Inst. Math. 297, 179--187 (2017; Zbl 1377.37045); translation from Tr. Mat. Inst. Steklova 297, 201--210 (2017) Full Text: DOI
Grines, V.; Levchenko, Yu; Medvedev, V.; Pochinka, O. The topological classification of structurally stable 3-diffeomorphisms with two-dimensional basic sets. (English) Zbl 1357.37029 Nonlinearity 28, No. 11, 4081-4102 (2015). MSC: 37C15 37C05 PDFBibTeX XMLCite \textit{V. Grines} et al., Nonlinearity 28, No. 11, 4081--4102 (2015; Zbl 1357.37029) Full Text: DOI Link
Grines, Vyacheslav Z.; Levchenko, Yulia A.; Medvedev, Vladislav S.; Pochinka, Olga V. On the dynamical coherence of structurally stable 3-diffeomorphisms. (English) Zbl 1335.37010 Regul. Chaotic Dyn. 19, No. 4, 506-512 (2014). MSC: 37D20 37D30 37C75 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Regul. Chaotic Dyn. 19, No. 4, 506--512 (2014; Zbl 1335.37010) Full Text: DOI
Grines, V. Z.; Gurevich, E. Ya.; Medvedev, V. S.; Pochinka, O. V. Embedding in a flow of Morse-Smale diffeomorphisms on manifolds of dimension higher than two. (English. Russian original) Zbl 1327.37010 Math. Notes 91, No. 5, 742-745 (2012); translation from Math. Zametki 91, No. 5, 791-794 (2012). Reviewer: David E. Hurtubise (Altoona) MSC: 37D15 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Math. Notes 91, No. 5, 742--745 (2012; Zbl 1327.37010); translation from Math. Zametki 91, No. 5, 791--794 (2012) Full Text: DOI
Zhuzhoma, E. V.; Medvedev, V. S. Morse-Smale diffeomorphisms with three fixed points. (English. Russian original) Zbl 1280.37030 Math. Notes 92, No. 4, 497-512 (2012); translation from Mat. Zametki 92, No. 4, 541-558 (2012). Reviewer: José A. Langa (Sevilla) MSC: 37D15 57R50 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Math. Notes 92, No. 4, 497--512 (2012; Zbl 1280.37030); translation from Mat. Zametki 92, No. 4, 541--558 (2012) Full Text: DOI
Medvedev, V. S.; Zhuzhoma, E. V. Locally flat and wildly embedded separatrices in simplest Morse-Smale systems. (English) Zbl 1347.37054 J. Dyn. Control Syst. 18, No. 3, 433-448 (2012). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D15 37C15 37C29 PDFBibTeX XMLCite \textit{V. S. Medvedev} and \textit{E. V. Zhuzhoma}, J. Dyn. Control Syst. 18, No. 3, 433--448 (2012; Zbl 1347.37054) Full Text: DOI
Zhuzhoma, E. V.; Medvedev, V. S. Morse-Smale systems with three nonwandering points. (English. Russian original) Zbl 1279.37029 Dokl. Math. 84, No. 2, 604-606 (2011); translation from Dokl. Akad. Nauk 440, No. 1, 11-14 (2011). Reviewer: Xueting Tian (Shanghai) MSC: 37D15 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Dokl. Math. 84, No. 2, 604--606 (2011; Zbl 1279.37029); translation from Dokl. Akad. Nauk 440, No. 1, 11--14 (2011) Full Text: DOI
Grines, V. Z.; Zhuzhoma, E. V.; Medvedev, V. S.; Pochinka, O. V. Global attractor and repeller of Morse-Smale diffeomorphisms. (English. Russian original) Zbl 1302.37021 Proc. Steklov Inst. Math. 271, 103-124 (2010); translation from Tr. Mat. Inst. Steklova 271, 111-133 (2010). MSC: 37D15 37C70 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Proc. Steklov Inst. Math. 271, 103--124 (2010; Zbl 1302.37021); translation from Tr. Mat. Inst. Steklova 271, 111--133 (2010) Full Text: DOI
Zhuzhoma, E. V.; Medvedev, V. S. Gradient flows with wildly embedded closures of separatrices. (English. Russian original) Zbl 1225.37038 Proc. Steklov Inst. Math. 270, 132-140 (2010); translation from Trudy Mat. Inst. Steklova 270, 138-146 (2010). Reviewer: Tomas Persson (Lund) MSC: 37D15 37C27 54H20 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Proc. Steklov Inst. Math. 270, 132--140 (2010; Zbl 1225.37038); translation from Trudy Mat. Inst. Steklova 270, 138--146 (2010) Full Text: DOI
Grines, V. Z.; Gurevich, E. Ya.; Medvedev, V. S. 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). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37D15 37C15 37C29 37C05 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Proc. Steklov Inst. Math. 270, 57--79 (2010; Zbl 1226.37012); translation from Trudy Mat. Inst. Steklova 270, 62--85 (2010) Full Text: DOI
Zhuzhoma, E. V.; Medvedev, V. S. Surface basic sets with wildly embedded supporting surfaces. (English. Russian original) Zbl 1195.57048 Math. Notes 85, No. 3, 353-365 (2009); translation from Mat. Zametki 85, No. 3, 356-372 (2009). Reviewer: Bernd O. Stratmann (Bremen) MSC: 57N10 58K05 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Math. Notes 85, No. 3, 353--365 (2009; Zbl 1195.57048); translation from Mat. Zametki 85, No. 3, 356--372 (2009) Full Text: DOI
Zhuzhoma, E. V.; Medvedev, V. S. Global dynamics of Morse-Smale systems. (English. Russian original) Zbl 1233.37017 Proc. Steklov Inst. Math. 261, 112-135 (2008); translation from Tr. Mat. Inst. Steklova 261, 115-139 (2008). MSC: 37D15 37C15 37E99 PDFBibTeX XMLCite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Proc. Steklov Inst. Math. 261, 112--135 (2008; Zbl 1233.37017); translation from Tr. Mat. Inst. Steklova 261, 115--139 (2008) Full Text: DOI
Grines, V. Z.; Gurevich, E. Ya.; Medvedev, V. S. 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). MSC: 37D15 37B99 37C05 37C15 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Proc. Steklov Inst. Math. 261, 59--83 (2008; Zbl 1233.37016); translation from Tr. Mat. Inst. Steklova 261, 61--86 (2008) Full Text: DOI
Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pochinka, O. V. Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices. (English. Russian original) Zbl 1153.37340 Proc. Steklov Inst. Math. 256, 47-61 (2007); translation from Tr. Mat. Inst. Steklova 256, 54-69 (2007). MSC: 37D15 37G10 57M25 58E07 PDFBibTeX XMLCite \textit{C. Bonatti} et al., Proc. Steklov Inst. Math. 256, 47--61 (2007; Zbl 1153.37340); translation from Tr. Mat. Inst. Steklova 256, 54--69 (2007) Full Text: DOI
Grines, V. Z.; Medvedev, V. S.; Zhuzhoma, E. V. On surface attractors and repellers in 3-manifolds. (English. Russian original) Zbl 1107.37024 Math. Notes 78, No. 6, 757-767 (2005); translation from Mat. Zametki 78, No. 6, 813-826 (2005). MSC: 37D20 37C70 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Math. Notes 78, No. 6, 757--767 (2005; Zbl 1107.37024); translation from Mat. Zametki 78, No. 6, 813--826 (2005) Full Text: DOI arXiv
Grines, Viatcheslav; Medvedev, Vladislav; Zhuzhoma, Evgeny On existence of noncompact heteroclinic curves. (English) Zbl 1057.37022 Qual. Theory Dyn. Syst. 4, No. 1, 59-65 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37D15 37C15 37C29 37C70 PDFBibTeX XMLCite \textit{V. Grines} et al., Qual. Theory Dyn. Syst. 4, No. 1, 59--65 (2003; Zbl 1057.37022) Full Text: DOI
Bonatti, C.; Grines, V.; Medvedev, V.; Pécou, E. Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves. (English) Zbl 1157.37309 Topology Appl. 117, No. 3, 335-344 (2002). MSC: 37D15 57M30 PDFBibTeX XMLCite \textit{C. Bonatti} et al., Topology Appl. 117, No. 3, 335--344 (2002; Zbl 1157.37309) Full Text: DOI
Grines, V. Z.; Medvedev, V. S. Topological conjugacy of 3-dimensional gradientlike diffeomorphisms with trivially embedded set of separatrices of saddle fixed points. (English. Russian original) Zbl 1056.37501 Math. Notes 66, No. 6, 781-784 (1999); translation from Mat. Zametki 66, No. 6, 945-948 (1999). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37D15 37C15 37E99 PDFBibTeX XMLCite \textit{V. Z. Grines} and \textit{V. S. Medvedev}, Math. Notes 66, No. 6, 781--784 (1999; Zbl 1056.37501); translation from Mat. Zametki 66, No. 6, 945--948 (1999) Full Text: DOI