Grines Vyacheslav Zigmuntovich

Publications in Math-Net.Ru

1. Hyperbolic Attractors Which are Anosov Tori
   
   Regul. Chaotic Dyn., 29:2 (2024),  369–375
2. On Homeomorphisms of Three-Dimensional Manifolds with Pseudo-Anosov Attractors and Repellers
   
   Regul. Chaotic Dyn., 29:1 (2024),  156–173
3. Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers
   
   Regul. Chaotic Dyn., 29:1 (2024),  143–155
4. On Diffeomorphisms with Orientable Codimension 1 Basic Sets and an Isolated Saddle
   
   Trudy Mat. Inst. Steklova, 327 (2024),  63–78
5. Gradient-like diffeomorphisms and periodic vector fields
   
   Mosc. Math. J., 23:4 (2023),  533–544
6. Perturbations of Nonhyperbolic Algebraic Automorphisms of the 2-Torus
   
   Mat. Zametki, 114:2 (2023),  229–243
7. On One-Dimensional Contracting Repellers of $A$-Endomorphisms of the 2-Torus
   
   Mat. Zametki, 113:4 (2023),  613–617
8. On a Classification of Periodic Maps on the 2-Torus
   
   Rus. J. Nonlin. Dyn., 19:1 (2023),  91–110
9. On Partially Hyperbolic Diffeomorphisms and Regular Denjoy Type Homeomorphisms
   
   Regul. Chaotic Dyn., 28:3 (2023),  295–308
10. A combinatorial invariant of gradient-like flows on a connected sum of $\mathbb{S}^{n-1}\times\mathbb{S}^1$
    
    Mat. Sb., 214:5 (2023),  97–127
11. Criterion for the Existence of an Energy Function for a Regular Homeomorphism of the 3-Sphere
    
    Trudy Mat. Inst. Steklova, 321 (2023),  45–61
12. Nonautonomous dynamics: classification, invariants, and implementation
    
    CMFD, 68:4 (2022),  596–620
13. On topological classification of regular Denjoy type homeomorphisms
    
    Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022),  66–70
14. On classification of Morse–Smale flows on projective-like manifolds
    
    Izv. RAN. Ser. Mat., 86:5 (2022),  43–72
15. Morse Index of Saddle Equilibria of Gradient-Like Flows on Connected Sums of $\mathbb S^{n-1}\times \mathbb S^1$
    
    Mat. Zametki, 111:4 (2022),  616–619
16. On the Topological Structure of Manifolds Supporting Axiom A Systems
    
    Regul. Chaotic Dyn., 27:6 (2022),  613–628
17. Topological classification of flows without heteroclinic intersections on a connected sum of manifolds $\mathbb{S}^{n-1}\times\mathbb{S}^{1}$
    
    Uspekhi Mat. Nauk, 77:4(466) (2022),  201–202
18. On perturbations of algebraic periodic automorphisms of a two-dimensional torus
    
    Zhurnal SVMO, 24:2 (2022),  141–150
19. Nonautonomous vector fields on $S^3$: Simple dynamics and wild embedding of separatrices
    
    TMF, 212:1 (2022),  15–32
20. Cantor Type Basic Sets of Surface $A$-endomorphisms
    
    Rus. J. Nonlin. Dyn., 17:3 (2021),  335–345
21. On $DA$-endomorphisms of the two-dimensional torus
    
    Mat. Sb., 212:5 (2021),  102–132
22. On topology of manifolds admitting gradient-like calscades with surface dynamics and on growth of the number of non-compact heteroclinic curves
    
    Zhurnal SVMO, 23:4 (2021),  379–393
23. Realization of Homeomorphisms of Surfaces of Algebraically Finite Order by Morse–Smale Diffeomorphisms with Orientable Heteroclinic Intersection
    
    Trudy Mat. Inst. Steklova, 315 (2021),  95–107
24. On embedding of the Morse–Smale diffeomorphisms in a topological flow
    
    CMFD, 66:2 (2020),  160–181
25. Diffeomorphisms of 2-manifolds with one-dimensional spaciously situated basic sets
    
    Izv. RAN. Ser. Mat., 84:5 (2020),  40–97
26. Topological Classification of Gradient-Like Flows with Surface Dynamics on $3$-Manifolds
    
    Mat. Zametki, 107:1 (2020),  145–148
27. The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor
    
    Rus. J. Nonlin. Dyn., 16:4 (2020),  595–606
28. On local structure of one-dimensional basic sets of non-reversible A-endomorphisms of surfaces
    
    Zhurnal SVMO, 22:4 (2020),  424–433
29. On Realization of Topological Conjugacy Classes of Morse–Smale Cascades on the Sphere $S^n$
    
    Trudy Mat. Inst. Steklova, 310 (2020),  119–134
30. Scenario of a Simple Transition from a Structurally Stable 3-Diffeomorphism with a Two-Dimensional Expanding Attractor to a DA Diffeomorphism
    
    Trudy Mat. Inst. Steklova, 308 (2020),  152–166
31. On embedding of multidimensional Morse–Smale diffeomorphisms into topological flows
    
    Mosc. Math. J., 19:4 (2019),  739–760
32. A Combinatorial Invariant of Morse–Smale Diffeomorphisms without Heteroclinic Intersections on the Sphere $S^n$, $n\ge 4$
    
    Mat. Zametki, 105:1 (2019),  136–141
33. Classification of Morse–Smale systems and topological structure of the underlying manifolds
    
    Uspekhi Mat. Nauk, 74:1(445) (2019),  41–116
34. On topology of manifolds admitting a gradient-like flow with a prescribed non-wandering set
    
    Mat. Tr., 21:2 (2018),  163–180
35. Representation of spaciously situated perfect attractors of diffeomorphisms by geodesic laminations
    
    Zhurnal SVMO, 20:2 (2018),  159–174
36. Dynamical systems and topology of magnetic fields in conducting medium
    
    CMFD, 63:3 (2017),  455–474
37. Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds
    
    CMFD, 63:2 (2017),  191–222
38. An Analog of Smale's Theorem for Homeomorphisms with Regular Dynamics
    
    Mat. Zametki, 102:4 (2017),  613–618
39. On hyperbolic attractors and repellers of endomorphisms
    
    Nelin. Dinam., 13:4 (2017),  557–571
40. On the Number of Heteroclinic Curves of Diffeomorphisms with Surface Dynamics
    
    Regul. Chaotic Dyn., 22:2 (2017),  122–135
41. On the structure of the ambient manifold for Morse–Smale systems without heteroclinic intersections
    
    Trudy Mat. Inst. Steklova, 297 (2017),  201–210
42. Realization of Morse–Smale diffeomorphisms on $3$-manifolds
    
    Trudy Mat. Inst. Steklova, 297 (2017),  46–61
43. Morse–Smale systems and topological structure of supporting manifolds
    
    CMFD, 61 (2016),  5–40
44. On $2$-diffeomorphisms with one-dimensional basic sets and a finite number of moduli
    
    Mosc. Math. J., 16:4 (2016),  727–749
45. Efficient Algorithms for the Recognition of Topologically Conjugate Gradient-like Diffeomorhisms
    
    Regul. Chaotic Dyn., 21:2 (2016),  189–203
46. On embedding Morse–Smale diffeomorphisms on the sphere in topological flows
    
    Uspekhi Mat. Nauk, 71:6(432) (2016),  163–164
47. On structure of one dimensional basic sets of endomorphisms of surfaces
    
    Zhurnal SVMO, 18:2 (2016),  16–24
48. Heteroclinic Curves of Gradient-like Diffeomorphsms and the Topology of Ambient Manifolds
    
    Zhurnal SVMO, 18:2 (2016),  11–15
49. Diffeomorphisms of 3-manifolds with 1-dimensional basic sets exteriorly situated on 2-tori
    
    Zhurnal SVMO, 18:1 (2016),  17–26
50. On the existence of periodic orbits for continuous Morse-Smale flows
    
    Zhurnal SVMO, 18:1 (2016),  12–16
51. Rough diffeomorphisms with basic sets of codimension one
    
    CMFD, 57 (2015),  5–30
52. The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor
    
    Tr. Mosk. Mat. Obs., 76:2 (2015),  271–286
53. Topological Classification of Structurally Stable 3-Diffeomorphisms with Two-Dimensional Basis Sets
    
    Mat. Zametki, 97:2 (2015),  318–320
54. Construction of an energy function for A-diffeomorphisms of two-dimensional non-wandering sets on 3-manifolds
    
    Zhurnal SVMO, 17:3 (2015),  12–17
55. Topogically pseudocoherent diffeomorphisms of 3-manifolds
    
    Zhurnal SVMO, 17:2 (2015),  27–33
56. The topological classification of locally direct product of DA-diffeomorphism of a 2-torus and rough diffeomorphism of the circle
    
    Zhurnal SVMO, 17:1 (2015),  30–36
57. The Energy Function of Gradient-Like Flows and the Topological Classification Problem
    
    Mat. Zametki, 96:6 (2014),  856–863
58. Heteroclinic curves of Morse–Smale cascades and separators in magnetic field of plasma
    
    Nelin. Dinam., 10:4 (2014),  427–438
59. On topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers
    
    Nelin. Dinam., 10:1 (2014),  17–33
60. On the Dynamical Coherence of Structurally Stable 3-diffeomorphisms
    
    Regul. Chaotic Dyn., 19:4 (2014),  506–512
61. A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces
    
    Mat. Sb., 205:10 (2014),  19–46
62. Energy function for structurally stable 3-diffeomorphisms with two-dimensional expanding attractor
    
    Zhurnal SVMO, 16:2 (2014),  20–25
63. Three-dimensional mapping with two-dimensional expansive attractors and repellers.
    
    Zhurnal SVMO, 16:1 (2014),  55–60
64. On existence of magnetic lines joining zero points
    
    Zhurnal SVMO, 16:1 (2014),  8–15
65. On the Simple Isotopy Class of a Source–Sink Diffeomorphism on the $3$-Sphere
    
    Mat. Zametki, 94:6 (2013),  828–845
66. Morse–Smale cascades on 3-manifolds
    
    Uspekhi Mat. Nauk, 68:1(409) (2013),  129–188
67. Energy function for rough cascades on surfaces with nontrivial one-dimensional basic sets
    
    Zhurnal SVMO, 15:4 (2013),  9–14
68. On existence of separators of magnetic fields in a spherical layer of plasma
    
    Zhurnal SVMO, 15:3 (2013),  21–28
69. On classification of gradient-like diffeomorphisms on surfaces by means automorphisms of three-color graphs
    
    Zhurnal SVMO, 15:2 (2013),  12–22
70. Energy function as complete topological invariant for the gradient-like flows with the saddle points of the same Morse index on 3-manifolds
    
    Zhurnal SVMO, 15:1 (2013),  16–22
71. Embedding in a Flow of Morse–Smale Diffeomorphisms on Manifolds of Dimension Higher than Two
    
    Mat. Zametki, 91:5 (2012),  791–794
72. On embedding a Morse-Smale diffeomorphism on a 3-manifold in a topological flow
    
    Mat. Sb., 203:12 (2012),  81–104
73. On the realization of structurally stable diffeomorphisms with 2-dimensional surface basic sets
    
    Zhurnal SVMO, 14:2 (2012),  48–56
74. Complete topological invariant of Morse-Smale Diffeomorphism without heteroclinical intersections on Sphere $S^n$ of dimensional greater than three
    
    Zhurnal SVMO, 14:1 (2012),  16–24
75. Dynamically ordered energy function for Morse–Smale diffeomorphisms on $3$-manifolds
    
    Trudy Mat. Inst. Steklova, 278 (2012),  34–48
76. On a topological classification of diffeomorphisms on 3-manifolds with two-dimensional nonwandering set
    
    Zhurnal SVMO, 13:4 (2011),  7–13
77. On classification of A-diffeomorphisms of 3-manifolds with two-dimensional surface attractors and repellers
    
    Zhurnal SVMO, 13:1 (2011),  29–31
78. On structure of 3-manifold which allow A-diffeomorphism with two-dimensional surface nonwandering set
    
    Zhurnal SVMO, 12:2 (2010),  7–13
79. Оn topologicaly non-conjugated Morse-Smale diffeomorphisms with trivial frame of separatrixes
    
    Zhurnal SVMO, 12:1 (2010),  24–32
80. Global attractor and repeller of Morse–Smale diffeomorphisms
    
    Trudy Mat. Inst. Steklova, 271 (2010),  111–133
81. Classification of Morse–Smale diffeomorphisms with one-dimensional set of unstable separatrices
    
    Trudy Mat. Inst. Steklova, 270 (2010),  62–85
82. Self-indexing energy function for Morse–Smale diffeomorphisms on 3-manifolds
    
    Mosc. Math. J., 9:4 (2009),  801–821
83. Quasi-Energy Function for Diffeomorphisms with Wild Separatrices
    
    Mat. Zametki, 86:2 (2009),  175–183
84. $f$-adapted filtration for Morse-Smale diffeomorphisms
    
    Trudy SVMO, 11:2 (2009),  26–34
85. Оn classification of Morse-Smale diffeomorphisms with trivial embedded separatrices on $3$-manofolds
    
    Trudy SVMO, 11:1 (2009),  50–63
86. Lyapunov functions for dynamical systems
    
    Trudy SVMO, 10:2 (2008),  11–20
87. Diffeomorphisms of 3-sphere with wild frame of separatrices
    
    Trudy SVMO, 10:1 (2008),  132–137
88. The realization Peixoto's graphs by Morse-Smale diffeomorphisms with sadle periodic points of index one
    
    Trudy SVMO, 10:1 (2008),  55–65
89. Peixoto Graph of Morse–Smale Diffeomorphisms on Manifolds of Dimension Greater than Three
    
    Trudy Mat. Inst. Steklova, 261 (2008),  61–86
90. Bifurcations of Morse–Smale Diffeomorphisms with Wildly Embedded Separatrices
    
    Trudy Mat. Inst. Steklova, 256 (2007),  54–69
91. Expanding attractors
    
    Regul. Chaotic Dyn., 11:2 (2006),  225–246
92. On Surface Attractors and Repellers in 3-Manifolds
    
    Mat. Zametki, 78:6 (2005),  813–826
93. Classification of Morse–Smale Diffeomorphisms with a Finite Set of Heteroclinic Orbits on 3-Manifolds
    
    Trudy Mat. Inst. Steklova, 250 (2005),  5–53
94. On Morse–Smale Diffeomorphisms with Four Periodic Points on Closed Orientable Manifolds
    
    Mat. Zametki, 74:3 (2003),  369–386
95. New relations for Morse–Smale systems with trivially embedded one-dimensional separatrices
    
    Mat. Sb., 194:7 (2003),  25–56
96. Structurally stable diffeomorphisms with basis sets of codimension one
    
    Izv. RAN. Ser. Mat., 66:2 (2002),  3–66
97. On Morse–Smale Diffeomorphisms without Heteroclinic Intersections on Three-Manifolds
    
    Trudy Mat. Inst. Steklova, 236 (2002),  66–78
98. 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
99. Асимптотическое поведение многообразий структурно устойчивых диффеоморфизмов поверхностей и геодезические линии
    
    Mat. Model., 9:10 (1997),  25–26
100. A representation of one-dimensional attractors of $A$-diffeomorphisms by hyperbolic homeomorphisms
     
     Mat. Zametki, 62:1 (1997),  76–87
101. On the topological classification of structurally stable diffeomorphisms of surfaces with one-dimensional attractors and repellers
     
     Mat. Sb., 188:4 (1997),  57–94
102. Conditions of topological conjugacy of gradient-like diffeomorphisms on irreducible 3-manifolds
     
     Mat. Zametki, 59:1 (1996),  73–80
103. Topological classification of structurally stable diffeomorphisms with one-dimensional attractors and repellers on surfaces
     
     Mat. Model., 7:5 (1995),  46–47
104. On the topological equivalence of Morse–Smale diffeomorphisms with a finite set of heteroclinic trajectories on irreducible 3-manifolds
     
     Mat. Zametki, 58:5 (1995),  782–784
105. On the geometry and topology of flows and foliations on surfaces and the Anosov problem
     
     Mat. Sb., 186:8 (1995),  25–66
106. On the topological classification of gradient-like diffeomorphisms on irreducible three-dimensional manifolds
     
     Uspekhi Mat. Nauk, 49:2(296) (1994),  149–150
107. Topological classification of Morse–Smale diffeomorphisms with finite set of heteroclinic trajectories on surfaces
     
     Mat. Zametki, 54:3 (1993),  3–17
108. Dynamical systems with hyperbolic behavior
     
     Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 66 (1991),  5–242
109. The topological classification of cascades on closed two-dimensional manifolds
     
     Uspekhi Mat. Nauk, 45:1(271) (1990),  3–32
110. Topological classification of flows on closed two-dimensional manifolds
     
     Uspekhi Mat. Nauk, 41:1(247) (1986),  149–169
111. Smooth dynamical systems. Chapter 4
     
     Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1 (1985),  229–237
112. Diffeomorphisms of two-dimensional manifolds with spatially situated basic sets
     
     Uspekhi Mat. Nauk, 40:1(241) (1985),  189–190
113. Homeomorphisms with minimal entropy on two-dimensional manifolds
     
     Uspekhi Mat. Nauk, 36:2(218) (1981),  175–176
114. The topological classification of orientable attractors on an $n$-dimensional torus
     
     Uspekhi Mat. Nauk, 34:4(208) (1979),  185–186
115. On the representation of minimal sets of currents on two-dimensional manifolds by geodesics
     
     Izv. Akad. Nauk SSSR Ser. Mat., 42:1 (1978),  104–129
116. The topological conjugacy of diffeomorphisms of a two-dimensional manifold on one-dimensional orientable basic sets. II
     
     Tr. Mosk. Mat. Obs., 34 (1977),  243–252
117. The topological conjugacy of diffeomorphisms of a two-dimensional manifold on one-dimensional orientable basic sets. I
     
     Tr. Mosk. Mat. Obs., 32 (1975),  35–60
118. The topological equivalence of one-dimensional basic sets of diffeomorphisms on two-dimensional manifolds
     
     Uspekhi Mat. Nauk, 29:6(180) (1974),  163–164
119. The topological equivalence of minimal sets of dynamical systems on two-dimensional manifolds
     
     Uspekhi Mat. Nauk, 28:4(172) (1973),  205–206
120. On some invariants of dynamical systems on two-dimensional manifolds (necessary and sufficient conditions for the topological equivalence of transitive dynamical systems)
     
     Mat. Sb. (N.S.), 90(132):3 (1973),  372–402


121. Anatolii Mikhailovich Stepin (obituary)
     
     Uspekhi Mat. Nauk, 77:2(464) (2022),  189–194
122. To the 80th anniverssry of Ilya Vladimirovich Boykov
     
     Zhurnal SVMO, 23:3 (2021),  318–321
123. To the 80th anniversary of Vladimir Konstantinovich Gorbunov
     
     Zhurnal SVMO, 23:2 (2021),  207–210
124. In memory of Spivak Semen Izrailevich
     
     Zhurnal SVMO, 22:4 (2020),  463–466
125. In memory of Vladimir Nikolaevich Shchennikov
     
     Zhurnal SVMO, 21:2 (2019),  269–273
126. To the seventieth anniversary of Vladimir Fedorovich Tishkin
     
     Zhurnal SVMO, 21:1 (2019),  111–113
127. Velmisov Petr Aleksandrovich (on his seventieth birthday)
     
     Zhurnal SVMO, 20:3 (2018),  338–340
128. In memory of Boris Vladimirovich Loginov
     
     Zhurnal SVMO, 20:1 (2018),  103–106
129. On the 80th anniversary of professor E.V. Voskresensky's birthday
     
     Zhurnal SVMO, 19:4 (2017),  95–99
130. Dmitrii Viktorovich Anosov (obituary)
     
     Uspekhi Mat. Nauk, 70:2(422) (2015),  181–191
131. Leonid Pavlovich Shil'nikov (obituary)
     
     Uspekhi Mat. Nauk, 67:3(405) (2012),  175–178
132. Romen Vasil'evich Plykin (obituary)
     
     Uspekhi Mat. Nauk, 66:3(399) (2011),  199–202
133. Energy functions for dynamical systems
     
     Regul. Chaotic Dyn., 15:2-3 (2010),  185–193