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Medvedev Vladislav Sergeevich

Publications in Math-Net.Ru

  1. On the Existence of Expanding Attractors with Different Dimensions

    Regul. Chaotic Dyn., 30:1 (2025),  93–102
  2. On expanding attractors of arbitrary codimension

    CMFD, 70:3 (2024),  389–402
  3. Underlying manifolds of high-dimensional Morse–Smale diffeomorphisms with saddles of codimension 1

    Mat. Zametki, 116:5 (2024),  814–818
  4. Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers

    Regul. Chaotic Dyn., 29:1 (2024),  143–155
  5. On Diffeomorphisms with Orientable Codimension 1 Basic Sets and an Isolated Saddle

    Trudy Mat. Inst. Steklova, 327 (2024),  63–78
  6. On a Classification of Chaotic Laminations which are Nontrivial Basic Sets of Axiom A Flows

    Rus. J. Nonlin. Dyn., 19:2 (2023),  227–237
  7. Smale Regular and Chaotic A-Homeomorphisms and A-Diffeomorphisms

    Regul. Chaotic Dyn., 28:2 (2023),  131–147
  8. Many-Dimensional Morse–Smale Diffeomeophisms with a Dominant Saddle

    Mat. Zametki, 111:6 (2022),  835–845
  9. On the Topological Structure of Manifolds Supporting Axiom A Systems

    Regul. Chaotic Dyn., 27:6 (2022),  613–628
  10. Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Two Saddle Periodic Points

    Mat. Zametki, 109:3 (2021),  361–369
  11. Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms

    Mat. Sb., 212:1 (2021),  63–77
  12. Polar Morse-Smale systems with two saddles on $n$-sphere

    Taurida Journal of Computer Science Theory and Mathematics, 2021, no. 4,  40–51
  13. On Two-Dimensional Expanding Attractors of A-Flows

    Mat. Zametki, 107:5 (2020),  787–790
  14. On Realization of Topological Conjugacy Classes of Morse–Smale Cascades on the Sphere $S^n$

    Trudy Mat. Inst. Steklova, 310 (2020),  119–134
  15. On topology of manifolds admitting a gradient-like flow with a prescribed non-wandering set

    Mat. Tr., 21:2 (2018),  163–180
  16. Conjugacy of Morse–Smale Diffeomorphisms with Three Nonwandering Points

    Mat. Zametki, 104:5 (2018),  775–780
  17. Many-dimensional solenoid invariant saddle-type sets

    Zhurnal SVMO, 20:1 (2018),  23–29
  18. An Analog of Smale's Theorem for Homeomorphisms with Regular Dynamics

    Mat. Zametki, 102:4 (2017),  613–618
  19. Saddle-Type Solenoidal Basis Sets

    Mat. Zametki, 101:6 (2017),  843–853
  20. On the topological structure of the magnetic field of regions of the photosphere

    Nelin. Dinam., 13:3 (2017),  399–412
  21. Nondissipativ kinematic dynamics on lenses

    Zhurnal SVMO, 19:2 (2017),  53–61
  22. On the structure of the ambient manifold for Morse–Smale systems without heteroclinic intersections

    Trudy Mat. Inst. Steklova, 297 (2017),  201–210
  23. Continuous Morse-Smale flows with three equilibrium positions

    Mat. Sb., 207:5 (2016),  69–92
  24. On the existence of periodic orbits for continuous Morse-Smale flows

    Zhurnal SVMO, 18:1 (2016),  12–16
  25. Continuous Morse-Smale flows on projective-like manifolds

    Zhurnal SVMO, 17:1 (2015),  55–64
  26. On the Dynamical Coherence of Structurally Stable 3-diffeomorphisms

    Regul. Chaotic Dyn., 19:4 (2014),  506–512
  27. On existence of magnetic lines joining zero points

    Zhurnal SVMO, 16:1 (2014),  8–15
  28. On existence of separators of magnetic fields in a spherical layer of plasma

    Zhurnal SVMO, 15:3 (2013),  21–28
  29. A model of fast kinematic dynamo

    Zhurnal SVMO, 15:2 (2013),  23–26
  30. Morse–Smale Diffeomorphisms with Three Fixed Points

    Mat. Zametki, 92:4 (2012),  541–558
  31. Embedding in a Flow of Morse–Smale Diffeomorphisms on Manifolds of Dimension Higher than Two

    Mat. Zametki, 91:5 (2012),  791–794
  32. On embedding a Morse-Smale diffeomorphism on a 3-manifold in a topological flow

    Mat. Sb., 203:12 (2012),  81–104
  33. Equivalence of Morse-Smale flows on 4-manifolds

    Zhurnal SVMO, 14:4 (2012),  7–13
  34. On the inner and the neighbor classification of the attractors

    Zhurnal SVMO, 14:2 (2012),  57–66
  35. On bifurcation in models of hyperbolic noise

    Zhurnal SVMO, 13:4 (2011),  51–60
  36. On the Morse-Smale diffeomorphisms with three fixed points

    Zhurnal SVMO, 13:3 (2011),  40–46
  37. On structure of 3-manifold which allow A-diffeomorphism with two-dimensional surface nonwandering set

    Zhurnal SVMO, 12:2 (2010),  7–13
  38. În topologicaly non-conjugated Morse-Smale diffeomorphisms with trivial frame of separatrixes

    Zhurnal SVMO, 12:1 (2010),  24–32
  39. Global attractor and repeller of Morse–Smale diffeomorphisms

    Trudy Mat. Inst. Steklova, 271 (2010),  111–133
  40. Gradient flows with wildly embedded closures of separatrices

    Trudy Mat. Inst. Steklova, 270 (2010),  138–146
  41. Classification of Morse–Smale diffeomorphisms with one-dimensional set of unstable separatrices

    Trudy Mat. Inst. Steklova, 270 (2010),  62–85
  42. Surface Basic Sets with Wildly Embedded Supporting Surfaces

    Mat. Zametki, 85:3 (2009),  356–372
  43. Ñarrier manifolds of Smale-Vietoris diffeomorphisms

    Trudy SVMO, 11:1 (2009),  71–77
  44. În classification of Morse-Smale diffeomorphisms with trivial embedded separatrices on $3$-manofolds

    Trudy SVMO, 11:1 (2009),  50–63
  45. On Foliations Defined by Harmonic Functions

    Mat. Zametki, 84:1 (2008),  132–135
  46. On some problem of Kaplan

    Trudy SVMO, 10:2 (2008),  88–91
  47. On embedding of surface basic sets

    Trudy SVMO, 10:1 (2008),  147–158
  48. The realization Peixoto's graphs by Morse-Smale diffeomorphisms with sadle periodic points of index one

    Trudy SVMO, 10:1 (2008),  55–65
  49. Global Dynamics of Morse–Smale Systems

    Trudy Mat. Inst. Steklova, 261 (2008),  115–139
  50. Peixoto Graph of Morse–Smale Diffeomorphisms on Manifolds of Dimension Greater than Three

    Trudy Mat. Inst. Steklova, 261 (2008),  61–86
  51. Bifurcations of Morse–Smale Diffeomorphisms with Wildly Embedded Separatrices

    Trudy Mat. Inst. Steklova, 256 (2007),  54–69
  52. On Surface Attractors and Repellers in 3-Manifolds

    Mat. Zametki, 78:6 (2005),  813–826
  53. On Typical Diffeotopy of Rough Diffeomorphisms with Expanding Attractor of Codimension One

    Mat. Zametki, 74:3 (2003),  478–480
  54. On Morse–Smale Diffeomorphisms with Four Periodic Points on Closed Orientable Manifolds

    Mat. Zametki, 74:3 (2003),  369–386
  55. New relations for Morse–Smale systems with trivially embedded one-dimensional separatrices

    Mat. Sb., 194:7 (2003),  25–56
  56. On non-orientable two-dimensional basic sets on 3-manifolds

    Mat. Sb., 193:6 (2002),  83–104
  57. On Morse–Smale Diffeomorphisms without Heteroclinic Intersections on Three-Manifolds

    Trudy Mat. Inst. Steklova, 236 (2002),  66–78
  58. The Closure Lemma for Piecewise Diffeomorphic Maps of the Circle

    Mat. Zametki, 69:2 (2001),  310–313
  59. Two-dimensional basic sets of structurally stable diffeomorphisms of three-dimensional manifolds

    Uspekhi Mat. Nauk, 56:3(339) (2001),  153–154
  60. Two-dimensional basic sets of structurally stable diffeomorphisms of three-dimensional manifolds

    Uspekhi Mat. Nauk, 55:6(336) (2000),  123–124
  61. 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
  62. Strengthening the $C^r$-closing lemma for dynamical systems and foliations on the torus

    Mat. Zametki, 61:3 (1997),  323–331
  63. On continuity of geodesic frameworks of flows on surfaces

    Mat. Sb., 188:7 (1997),  3–22
  64. The number of limit cycles in dynamical systems close to Hamiltonian systems

    Differ. Uravn., 32:8 (1996),  1140–1141
  65. Generalization of Mel'nikov's theorem to separatrix contours in the autonomous case

    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 6,  63–67
  66. Calculation of the second Mel’nikov parameter (autonomous case)

    Differ. Uravn., 30:3 (1994),  533
  67. Mathematical modelling of electrode processes in parallel laminar flow of electrolyte

    Mat. Model., 6:9 (1994),  41–52
  68. On dynamical systems close to Hamiltonian with separatrix loops of a saddle

    Mat. Sb., 185:9 (1994),  95–108
  69. The bifurcation of the “blue sky catastrophe” on two-dimensional manifolds

    Mat. Zametki, 51:1 (1992),  118–125
  70. On the structure of the bifurcation set of bifurcating separatrices

    Differ. Uravn., 27:8 (1991),  1357–1363
  71. On the bifurcation of the separatrix connecting two equilibrium states

    Differ. Uravn., 25:2 (1989),  332–335
  72. On the index of invariant domains of homeomorphisms of two-dimensional manifolds

    Mat. Sb. (N.S.), 134(176):2(10) (1987),  207–222
  73. On a new type of bifurcations on manifolds

    Mat. Sb. (N.S.), 113(155):3(11) (1980),  487–492
  74. Decomposition of $n$-dimensional manifolds into simple manifolds

    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 1,  46–50
  75. A study of the behavior of cascade trajectories in the neighborhood of an invariant set

    Differ. Uravn., 13:7 (1977),  1192–1201
  76. Regular components of homeomorphisms on $n$-dimensional manifolds

    Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974),  1324–1342
  77. Regular components of homeomorphisms of the $n$-dimensional sphere

    Mat. Sb. (N.S.), 85(127):1(5) (1971),  3–17
  78. Sufficient conditions for the absence of integral cycles of Pfaffian systems of manifolds

    Differ. Uravn., 6:10 (1970),  1896–1900
  79. Sufficient conditions for the absence of integral cycles for dynamical systems on manifolds

    Differ. Uravn., 6:3 (1970),  454–466

  80. To the 75th anniversary of Vyacheslav Zigmundovich Grines

    Zhurnal SVMO, 23:4 (2021),  472–476


© Steklov Math. Inst. of RAS, 2025