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Medvedev, Vladislav Sergeevich
Candidate of physico-mathematical sciences (1975)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 1.09.1942
E-mail:
Keywords: dynamical systems on manifolds, topology of foliations, attractors and repellors, structural stability, Morse–Smale flows and diffeomorphisms.
   
Main publications:
  • Bonatti C., Grines V. Z., Medvedev V., Pecou E. Three–manifolds admitting Morse–Smale diffeomorphisms without heteroclinic curves // Topology and its Applications 117, (2002), 335–344.
  • Bonatti C., Grines V. Z., Medvedev V., Pecou E. On the topological classification of gradient–like diffeomorphisms without heteroclinic curves on three–dimensional manifolds (Russian) // Dokl. Akad. Nauk 377 (2001), no. 2, 151–155.

https://www.mathnet.ru/eng/person8525
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/221881
https://orcid.org/0000-0001-6369-0000

Publications in Math-Net.Ru Citations
2024
1. E. V. Zhuzhoma, V. S. Medvedev, “On expanding attractors of arbitrary codimension”, CMFD, 70:3 (2024),  389–402  mathnet
2. E. V. Zhuzhoma, V. S. Medvedev, “Underlying manifolds of high-dimensional Morse–Smale diffeomorphisms with saddles of codimension 1”, Mat. Zametki, 116:5 (2024),  814–818  mathnet; Math. Notes, 116:5 (2024), 1149–1153
3. Vyacheslav Z. Grines, Vladislav S. Medvedev, Evgeny V. Zhuzhoma, “Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers”  mathnet 1
2023
4. V. S. Medvedev, E. V. Zhuzhoma, “On a Classification of Chaotic Laminations which are Nontrivial Basic Sets of Axiom A Flows”, Rus. J. Nonlin. Dyn., 19:2 (2023),  227–237  mathnet
5. Vladislav S. Medvedev, Evgeny V. Zhuzhoma, “Smale Regular and Chaotic A-Homeomorphisms and A-Diffeomorphisms”, Regul. Chaotic Dyn., 28:2 (2023),  131–147  mathnet  mathscinet 1
2022
6. E. V. Zhuzhoma, V. S. Medvedev, “Many-Dimensional Morse–Smale Diffeomeophisms with a Dominant Saddle”, Mat. Zametki, 111:6 (2022),  835–845  mathnet  mathscinet; Math. Notes, 111:6 (2022), 870–878  scopus
7. Vyacheslav Z. Grines, Vladislav S. Medvedev, Evgeny V. Zhuzhoma, “On the Topological Structure of Manifolds Supporting Axiom A Systems”, Regul. Chaotic Dyn., 27:6 (2022),  613–628  mathnet  mathscinet 2
2021
8. E. V. Zhuzhoma, V. S. Medvedev, “Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Two Saddle Periodic Points”, Mat. Zametki, 109:3 (2021),  361–369  mathnet  mathscinet; Math. Notes, 109:3 (2021), 398–404  isi 2
9. E. V. Zhuzhoma, V. S. Medvedev, “Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms”, Mat. Sb., 212:1 (2021),  63–77  mathnet  mathscinet  zmath  elib; Sb. Math., 212:1 (2021), 57–69  isi  scopus 3
10. E. V. Zhuzhoma, V. S. Medvedev, “Polar Morse-Smale systems with two saddles on $n$-sphere”, Taurida Journal of Computer Science Theory and Mathematics, 2021, no. 4,  40–51  mathnet
2020
11. E. V. Zhuzhoma, V. S. Medvedev, “On Two-Dimensional Expanding Attractors of A-Flows”, Mat. Zametki, 107:5 (2020),  787–790  mathnet  mathscinet  elib; Math. Notes, 107:5 (2020), 854–857  isi  scopus 3
12. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “On Realization of Topological Conjugacy Classes of Morse–Smale Cascades on the Sphere $S^n$”, Trudy Mat. Inst. Steklova, 310 (2020),  119–134  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 310 (2020), 108–123  isi  scopus 3
2018
13. V. Z. Grines, E. Ya. Gurevich, E. V. Zhuzhoma, V. S. Medvedev, “On topology of manifolds admitting a gradient-like flow with a prescribed non-wandering set”, Mat. Tr., 21:2 (2018),  163–180  mathnet; Siberian Adv. Math., 29:2 (2019), 116–127  scopus 4
14. E. V. Zhuzhoma, V. S. Medvedev, “Conjugacy of Morse–Smale Diffeomorphisms with Three Nonwandering Points”, Mat. Zametki, 104:5 (2018),  775–780  mathnet  mathscinet  elib; Math. Notes, 104:5 (2018), 753–757  isi  scopus 1
15. E. V. Zhuzhoma, N. V. Isaenkova, V. S. Medvedev, “Many-dimensional solenoid invariant saddle-type sets”, Zhurnal SVMO, 20:1 (2018),  23–29  mathnet  elib
2017
16. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, O. V. Pochinka, “An Analog of Smale's Theorem for Homeomorphisms with Regular Dynamics”, Mat. Zametki, 102:4 (2017),  613–618  mathnet  mathscinet  elib; Math. Notes, 102:4 (2017), 569–574  isi  scopus 4
17. E. V. Zhuzhoma, V. S. Medvedev, “Saddle-Type Solenoidal Basis Sets”, Mat. Zametki, 101:6 (2017),  843–853  mathnet  mathscinet  elib; Math. Notes, 101:6 (2017), 960–968  isi  scopus
18. E. V. Zhuzhoma, V. S. Medvedev, N. V. Isaenkova, “On the topological structure of the magnetic field of regions of the photosphere”, Nelin. Dinam., 13:3 (2017),  399–412  mathnet  elib 5
19. E. V. Zhuzhoma, V. S. Medvedev, “Nondissipativ kinematic dynamics on lenses”, Zhurnal SVMO, 19:2 (2017),  53–61  mathnet  elib 1
20. V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, “On the structure of the ambient manifold for Morse–Smale systems without heteroclinic intersections”, Trudy Mat. Inst. Steklova, 297 (2017),  201–210  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 297 (2017), 179–187  isi  scopus 7
2016
21. E. V. Zhuzhoma, V. S. Medvedev, “Continuous Morse-Smale flows with three equilibrium positions”, Mat. Sb., 207:5 (2016),  69–92  mathnet  mathscinet  zmath  elib; Sb. Math., 207:5 (2016), 702–723  isi  scopus 17
22. V. Z. Grines, E. V. Zhuzhoma, S. V. Medvedev, N. A. Tarasova, “On the existence of periodic orbits for continuous Morse-Smale flows”, Zhurnal SVMO, 18:1 (2016),  12–16  mathnet  elib
2015
23. E. V. Zhuzhoma, V. S. Medvedev, N. A. Tarasova, “Continuous Morse-Smale flows on projective-like manifolds”, Zhurnal SVMO, 17:1 (2015),  55–64  mathnet  elib
2014
24. Vyacheslav Z. Grines, Yulia A. Levchenko, Vladislav S. Medvedev, Olga V. Pochinka, “On the Dynamical Coherence of Structurally Stable 3-diffeomorphisms”, Regul. Chaotic Dyn., 19:4 (2014),  506–512  mathnet  mathscinet  zmath  isi 6
25. V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, O. V. Pochinka, “On existence of magnetic lines joining zero points”, Zhurnal SVMO, 16:1 (2014),  8–15  mathnet 2
2013
26. V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, “On existence of separators of magnetic fields in a spherical layer of plasma”, Zhurnal SVMO, 15:3 (2013),  21–28  mathnet
27. E. V. Zhuzhoma, V. S. Medvedev, “A model of fast kinematic dynamo”, Zhurnal SVMO, 15:2 (2013),  23–26  mathnet 1
2012
28. E. V. Zhuzhoma, V. S. Medvedev, “Morse–Smale Diffeomorphisms with Three Fixed Points”, Mat. Zametki, 92:4 (2012),  541–558  mathnet  mathscinet  zmath  elib; Math. Notes, 92:4 (2012), 497–512  isi  elib  scopus 2
29. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, O. V. Pochinka, “Embedding in a Flow of Morse–Smale Diffeomorphisms on Manifolds of Dimension Higher than Two”, Mat. Zametki, 91:5 (2012),  791–794  mathnet  mathscinet  elib; Math. Notes, 91:5 (2012), 742–745  isi  elib  scopus 7
30. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, O. V. Pochinka, “On embedding a Morse-Smale diffeomorphism on a 3-manifold in a topological flow”, Mat. Sb., 203:12 (2012),  81–104  mathnet  mathscinet  zmath  elib; Sb. Math., 203:12 (2012), 1761–1784  isi  scopus 17
31. E. V. Zhuzhoma, V. S. Medvedev, “Equivalence of Morse-Smale flows on 4-manifolds”, Zhurnal SVMO, 14:4 (2012),  7–13  mathnet
32. E. V. Zhuzhoma, N. V. Isaenkova, L. A. Kuprina, V. S. Medvedev, “On the inner and the neighbor classification of the attractors”, Zhurnal SVMO, 14:2 (2012),  57–66  mathnet
2011
33. E. V. Zhuzhoma, N. V. Isaenkova, V. S. Medvedev, “On bifurcation in models of hyperbolic noise”, Zhurnal SVMO, 13:4 (2011),  51–60  mathnet
34. E. V. Zhuzhoma, L. A. Kuprina, V. S. Medvedev, “On the Morse-Smale diffeomorphisms with three fixed points”, Zhurnal SVMO, 13:3 (2011),  40–46  mathnet
2010
35. V. Z. Grines, Yu. A. Levchenko, V. S. Medvedev, “On structure of 3-manifold which allow A-diffeomorphism with two-dimensional surface nonwandering set”, Zhurnal SVMO, 12:2 (2010),  7–13  mathnet 2
36. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “În topologicaly non-conjugated Morse-Smale diffeomorphisms with trivial frame of separatrixes”, Zhurnal SVMO, 12:1 (2010),  24–32  mathnet
37. V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, O. V. Pochinka, “Global attractor and repeller of Morse–Smale diffeomorphisms”, Trudy Mat. Inst. Steklova, 271 (2010),  111–133  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 103–124  isi  scopus 54
38. E. V. Zhuzhoma, V. S. Medvedev, “Gradient flows with wildly embedded closures of separatrices”, Trudy Mat. Inst. Steklova, 270 (2010),  138–146  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 270 (2010), 132–140  isi  scopus 2
39. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “Classification of Morse–Smale diffeomorphisms with one-dimensional set of unstable separatrices”, Trudy Mat. Inst. Steklova, 270 (2010),  62–85  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 270 (2010), 57–79  isi  scopus 18
2009
40. E. V. Zhuzhoma, V. S. Medvedev, “Surface Basic Sets with Wildly Embedded Supporting Surfaces”, Mat. Zametki, 85:3 (2009),  356–372  mathnet  mathscinet  zmath  elib; Math. Notes, 85:3 (2009), 353–365  isi  scopus 1
41. E. V. Zhuzhoma, N. V. Isaenkova, L. A. Kuprina, V. S. Medvedev, “Ñarrier manifolds of Smale-Vietoris diffeomorphisms”, Trudy SVMO, 11:1 (2009),  71–77  mathnet 1
42. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, A. E. Shishenkova, “În classification of Morse-Smale diffeomorphisms with trivial embedded separatrices on $3$-manofolds”, Trudy SVMO, 11:1 (2009),  50–63  mathnet
2008
43. E. V. Zhuzhoma, V. S. Medvedev, “On Foliations Defined by Harmonic Functions”, Mat. Zametki, 84:1 (2008),  132–135  mathnet  mathscinet; Math. Notes, 84:1 (2008), 130–133  isi  scopus
44. E. V. Zhuzhoma, V. S. Medvedev, “On some problem of Kaplan”, Trudy SVMO, 10:2 (2008),  88–91  mathnet
45. E. V. Zhuzhoma, L. A. Kuprina, V. S. Medvedev, “On embedding of surface basic sets”, Trudy SVMO, 10:1 (2008),  147–158  mathnet
46. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “The realization Peixoto's graphs by Morse-Smale diffeomorphisms with sadle periodic points of index one”, Trudy SVMO, 10:1 (2008),  55–65  mathnet
47. E. V. Zhuzhoma, V. S. Medvedev, “Global Dynamics of Morse–Smale Systems”, Trudy Mat. Inst. Steklova, 261 (2008),  115–139  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 112–135  isi  elib  scopus 18
48. V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “Peixoto Graph of Morse–Smale Diffeomorphisms on Manifolds of Dimension Greater than Three”, Trudy Mat. Inst. Steklova, 261 (2008),  61–86  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 59–83  isi  elib  scopus 19
2007
49. C. Bonatti, V. Z. Grines, V. S. Medvedev, O. V. Pochinka, “Bifurcations of Morse–Smale Diffeomorphisms with Wildly Embedded Separatrices”, Trudy Mat. Inst. Steklova, 256 (2007),  54–69  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 47–61  elib  scopus 16
2005
50. V. Z. Grines, V. S. Medvedev, E. V. Zhuzhoma, “On Surface Attractors and Repellers in 3-Manifolds”, Mat. Zametki, 78:6 (2005),  813–826  mathnet  mathscinet  zmath  elib; Math. Notes, 78:6 (2005), 757–767  isi  elib  scopus 22
2003
51. E. V. Zhuzhoma, V. S. Medvedev, “On Typical Diffeotopy of Rough Diffeomorphisms with Expanding Attractor of Codimension One”, Mat. Zametki, 74:3 (2003),  478–480  mathnet  mathscinet  zmath; Math. Notes, 74:3 (2003), 453–456  isi  scopus 2
52. V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, “On Morse–Smale Diffeomorphisms with Four Periodic Points on Closed Orientable Manifolds”, Mat. Zametki, 74:3 (2003),  369–386  mathnet  mathscinet  zmath; Math. Notes, 74:3 (2003), 352–366  isi  scopus 25
53. V. Z. Grines, E. V. Zhuzhoma, V. S. Medvedev, “New relations for Morse–Smale systems with trivially embedded one-dimensional separatrices”, Mat. Sb., 194:7 (2003),  25–56  mathnet  mathscinet  zmath  elib; Sb. Math., 194:7 (2003), 979–1007  isi  scopus 40
2002
54. E. V. Zhuzhoma, V. S. Medvedev, “On non-orientable two-dimensional basic sets on 3-manifolds”, Mat. Sb., 193:6 (2002),  83–104  mathnet  mathscinet  zmath; Sb. Math., 193:6 (2002), 869–888  isi  scopus 16
55. Ch. Bonatti, V. Z. Grines, V. S. Medvedev, E. Peku, “On Morse–Smale Diffeomorphisms without Heteroclinic Intersections on Three-Manifolds”, Trudy Mat. Inst. Steklova, 236 (2002),  66–78  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 236 (2002), 58–69 10
2001
56. E. V. Zhuzhoma, V. S. Medvedev, “The Closure Lemma for Piecewise Diffeomorphic Maps of the Circle”, Mat. Zametki, 69:2 (2001),  310–313  mathnet  mathscinet  zmath  elib; Math. Notes, 69:2 (2001), 277–280  isi 1
57. S. Kh. Aranson, E. V. Zhuzhoma, V. S. Medvedev, I. A. Tel'nykh, “Two-dimensional basic sets of structurally stable diffeomorphisms of three-dimensional manifolds”, Uspekhi Mat. Nauk, 56:3(339) (2001),  153–154  mathnet  mathscinet
2000
58. S. Kh. Aranson, E. V. Zhuzhoma, V. S. Medvedev, I. A. Tel'nykh, “Two-dimensional basic sets of structurally stable diffeomorphisms of three-dimensional manifolds”, Uspekhi Mat. Nauk, 55:6(336) (2000),  123–124  mathnet  mathscinet  zmath; Russian Math. Surveys, 55:6 (2000), 1135–1136  isi  scopus
1999
59. V. Z. Grines, V. S. Medvedev, “On the topological conjugacy of three-dimensional gradient-like diffeomorphisms with a trivially embedded set of separatrices of saddle fixed points”, Mat. Zametki, 66:6 (1999),  945–948  mathnet  mathscinet  zmath; Math. Notes, 66:6 (1999), 781–784  isi 3
1997
60. S. Kh. Aranson, E. V. Zhuzhoma, V. S. Medvedev, “Strengthening the $C^r$-closing lemma for dynamical systems and foliations on the torus”, Mat. Zametki, 61:3 (1997),  323–331  mathnet  mathscinet  zmath; Math. Notes, 61:3 (1997), 265–271  isi 2
61. S. Kh. Aranson, E. V. Zhuzhoma, V. S. Medvedev, “On continuity of geodesic frameworks of flows on surfaces”, Mat. Sb., 188:7 (1997),  3–22  mathnet  mathscinet  zmath; Sb. Math., 188:7 (1997), 955–972  isi  scopus 4
1996
62. V. S. Medvedev, E. L. Fedorov, “The number of limit cycles in dynamical systems close to Hamiltonian systems”, Differ. Uravn., 32:8 (1996),  1140–1141  mathnet  zmath; Differ. Equ., 32:8 (1996), 1146–1148
63. V. S. Medvedev, E. L. Fedorov, “Generalization of Mel'nikov's theorem to separatrix contours in the autonomous case”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 6,  63–67  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:6 (1996), 59–63
1994
64. V. S. Medvedev, E. L. Fedorov, “Calculation of the second Mel’nikov parameter (autonomous case)”, Differ. Uravn., 30:3 (1994),  533  mathnet  zmath; Differ. Equ., 30:3 (1994), 494–495
65. G. V. Korolyov, V. I. Kucherenko, V. S. Medvedev, E. L. Fedorov, A. E. Eppel, “Mathematical modelling of electrode processes in parallel laminar flow of electrolyte”, Matem. Mod., 6:9 (1994),  41–52  mathnet  zmath
66. V. S. Medvedev, E. L. Fedorov, “On dynamical systems close to Hamiltonian with separatrix loops of a saddle”, Mat. Sb., 185:9 (1994),  95–108  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 83:1 (1995), 79–91  isi
1992
67. V. S. Medvedev, “The bifurcation of the “blue sky catastrophe” on two-dimensional manifolds”, Mat. Zametki, 51:1 (1992),  118–125  mathnet  mathscinet  zmath; Math. Notes, 51:1 (1992), 76–81  isi 4
1991
68. V. S. Medvedev, E. L. Fedorov, “On the structure of the bifurcation set of bifurcating separatrices”, Differ. Uravn., 27:8 (1991),  1357–1363  mathnet  mathscinet; Differ. Equ., 27:8 (1991), 957–963
1989
69. V. S. Medvedev, “On the bifurcation of the separatrix connecting two equilibrium states”, Differ. Uravn., 25:2 (1989),  332–335  mathnet  mathscinet  zmath
1987
70. V. S. Medvedev, “On the index of invariant domains of homeomorphisms of two-dimensional manifolds”, Mat. Sb. (N.S.), 134(176):2(10) (1987),  207–222  mathnet  mathscinet  zmath; Math. USSR-Sb., 62:1 (1989), 207–221 1
1980
71. V. S. Medvedev, “On a new type of bifurcations on manifolds”, Mat. Sb. (N.S.), 113(155):3(11) (1980),  487–492  mathnet  mathscinet  zmath; Math. USSR-Sb., 41:3 (1982), 403–407 12
1979
72. V. S. Medvedev, Ya. L. Umanskii, “Decomposition of $n$-dimensional manifolds into simple manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 1,  46–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 23:1 (1979), 36–39 6
1977
73. V. S. Medvedev, “A study of the behavior of cascade trajectories in the neighborhood of an invariant set”, Differ. Uravn., 13:7 (1977),  1192–1201  mathnet  mathscinet  zmath 2
1974
74. V. S. Medvedev, Ya. L. Umanskii, “Regular components of homeomorphisms on $n$-dimensional manifolds”, Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974),  1324–1342  mathnet  mathscinet  zmath; Math. USSR-Izv., 8:6 (1974), 1305–1322 5
1971
75. S. Kh. Aranson, V. S. Medvedev, “Regular components of homeomorphisms of the $n$-dimensional sphere”, Mat. Sb. (N.S.), 85(127):1(5) (1971),  3–17  mathnet  mathscinet  zmath; Math. USSR-Sb., 14:1 (1971), 1–14 4
1970
76. V. S. Medvedev, “Sufficient conditions for the absence of integral cycles of Pfaffian systems of manifolds”, Differ. Uravn., 6:10 (1970),  1896–1900  mathnet  mathscinet  zmath
77. V. S. Medvedev, “Sufficient conditions for the absence of integral cycles for dynamical systems on manifolds”, Differ. Uravn., 6:3 (1970),  454–466  mathnet  mathscinet
2021
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1. Topological structure of manifolds supporting axiom A systems
E. V. Zhuzhoma, V. Z. Grines, V. S. Medvedev
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