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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
Marina K. Barinova, Vyacheslav Z. Grines, Olga V. Pochinka, Evgeny V. Zhuzhoma, “Hyperbolic Attractors Which are Anosov Tori”, Regul. Chaotic Dyn., 29:2 (2024), 369–375 |
2. |
Vyacheslav Z. Grines, Olga V. Pochinka, Ekaterina E. Chilina, “On Homeomorphisms of Three-Dimensional Manifolds with Pseudo-Anosov Attractors and Repellers” |
1
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3. |
Vyacheslav Z. Grines, Vladislav S. Medvedev, Evgeny V. Zhuzhoma, “Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers” |
1
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2023 |
4. |
V. Z. Grines, L. M. Lerman, “Gradient-like diffeomorphisms and periodic vector fields”, Mosc. Math. J., 23:4 (2023), 533–544 |
5. |
V. Z. Grines, D. I. Mints, E. E. Chilina, “Perturbations of Nonhyperbolic Algebraic Automorphisms of the 2-Torus”, Mat. Zametki, 114:2 (2023), 229–243 ; Math. Notes, 114:2 (2023), 187–198 |
1
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6. |
V. Z. Grines, D. I. Mints, “On One-Dimensional Contracting Repellers of $A$-Endomorphisms of the 2-Torus”, Mat. Zametki, 113:4 (2023), 613–617 ; Math. Notes, 113:4 (2023), 593–597 |
7. |
D. A. Baranov, V. Z. Grines, O. V. Pochinka, E. E. Chilina, “On a Classification of Periodic Maps on the 2-Torus”, Rus. J. Nonlin. Dyn., 19:1 (2023), 91–110 |
8. |
Vyacheslav Z. Grines, Dmitrii I. Mints, “On Partially Hyperbolic Diffeomorphisms and Regular Denjoy Type Homeomorphisms”, Regul. Chaotic Dyn., 28:3 (2023), 295–308 |
9. |
V. Z. Grines, E. Ya. Gurevich, “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 ; Sb. Math., 214:5 (2023), 703–731 |
3
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10. |
M. K. Barinova, V. Z. Grines, O. V. Pochinka, “Criterion for the Existence of an Energy Function for a Regular Homeomorphism of the 3-Sphere”, Trudy Mat. Inst. Steklova, 321 (2023), 45–61 ; Proc. Steklov Inst. Math., 321 (2023), 37–53 |
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2022 |
11. |
V. Z. Grines, L. M. Lerman, “Nonautonomous dynamics: classification, invariants, and implementation”, CMFD, 68:4 (2022), 596–620 |
2
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12. |
V. Z. Grines, D. I. Mints, “On topological classification of regular Denjoy type homeomorphisms”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 66–70 ; Dokl. Math., 106:1 (2022), 268–271 |
13. |
V. Z. Grines, E. Ya. Gurevich, “On classification of Morse–Smale flows on projective-like manifolds”, Izv. RAN. Ser. Mat., 86:5 (2022), 43–72 ; Izv. Math., 86:5 (2022), 876–902 |
2
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14. |
V. Z. Grines, E. Ya. Gurevich, “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 ; Math. Notes, 111:4 (2022), 624–627 |
3
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15. |
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 |
2
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16. |
V. Z. Grines, E. Ya. Gurevich, “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 ; Russian Math. Surveys, 77:4 (2022), 759–761 |
2
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17. |
V. Z. Grines, D. I. Mints, E. E. Chilina, “On perturbations of algebraic periodic automorphisms of a two-dimensional torus”, Zhurnal SVMO, 24:2 (2022), 141–150 |
1
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18. |
V. Z. Grines, L. M. Lerman, “Nonautonomous vector fields on $S^3$: Simple dynamics and wild embedding of separatrices”, TMF, 212:1 (2022), 15–32 ; Theoret. and Math. Phys., 212:1 (2022), 903–917 |
3
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2021 |
19. |
V. Z. Grines, E. V. Zhuzhoma, “Cantor Type Basic Sets of Surface $A$-endomorphisms”, Rus. J. Nonlin. Dyn., 17:3 (2021), 335–345 |
20. |
V. Z. Grines, E. V. Zhuzhoma, E. D. Kurenkov, “On $DA$-endomorphisms of the two-dimensional torus”, Mat. Sb., 212:5 (2021), 102–132 ; Sb. Math., 212:5 (2021), 698–725 |
2
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21. |
V. Z. Grines, E. Ya. Gurevich, E. I. Yakovlev, “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 |
22. |
V. Z. Grines, A. I. Morozov, O. V. Pochinka, “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 ; Proc. Steklov Inst. Math., 315 (2021), 85–97 |
3
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2020 |
23. |
V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “On embedding of the Morse–Smale diffeomorphisms in a topological flow”, CMFD, 66:2 (2020), 160–181 |
1
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24. |
V. Z. Grines, E. D. Kurenkov, “Diffeomorphisms of 2-manifolds with one-dimensional spaciously situated basic sets”, Izv. RAN. Ser. Mat., 84:5 (2020), 40–97 ; Izv. Math., 84:5 (2020), 862–909 |
5
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25. |
V. Z. Grines, E. Ya. Gurevich, E. D. Kurenkov, “Topological Classification of Gradient-Like Flows with Surface Dynamics on $3$-Manifolds”, Mat. Zametki, 107:1 (2020), 145–148 ; Math. Notes, 107:1 (2020), 173–176 |
4
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26. |
V. Z. Grines, E. V. Kruglov, O. V. Pochinka, “The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor”, Rus. J. Nonlin. Dyn., 16:4 (2020), 595–606 |
27. |
V. Z. Grines, E. V. Zhuzhoma, “On local structure of one-dimensional basic sets of non-reversible A-endomorphisms of surfaces”, Zhurnal SVMO, 22:4 (2020), 424–433 |
28. |
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 ; Proc. Steklov Inst. Math., 310 (2020), 108–123 |
3
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29. |
V. Z. Grines, E. V. Kruglov, O. V. Pochinka, “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 ; Proc. Steklov Inst. Math., 308 (2020), 141–154 |
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2019 |
30. |
V. Grines, E. Gurevich, O. Pochinka, “On embedding of multidimensional Morse–Smale diffeomorphisms into topological flows”, Mosc. Math. J., 19:4 (2019), 739–760 |
5
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31. |
V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “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 ; Math. Notes, 105:1 (2019), 132–136 |
7
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32. |
V. Z. Grines, E. Ya. Gurevich, E. V. Zhuzhoma, O. V. Pochinka, “Classification of Morse–Smale systems and topological structure of the underlying manifolds”, Uspekhi Mat. Nauk, 74:1(445) (2019), 41–116 ; Russian Math. Surveys, 74:1 (2019), 37–110 |
27
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2018 |
33. |
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 ; Siberian Adv. Math., 29:2 (2019), 116–127 |
4
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34. |
V. Z. Grines, E. D. Kurenkov, “Representation of spaciously situated perfect attractors of diffeomorphisms by geodesic laminations”, Zhurnal SVMO, 20:2 (2018), 159–174 |
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2017 |
35. |
V. Z. Grines, E. V. Zhuzhoma, O. V. Pochinka, “Dynamical systems and topology of magnetic fields in conducting medium”, CMFD, 63:3 (2017), 455–474 |
3
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36. |
V. Z. Grines, O. V. Pochinka, “Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds”, CMFD, 63:2 (2017), 191–222 |
3
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37. |
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 ; Math. Notes, 102:4 (2017), 569–574 |
4
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38. |
V. Z. Grines, E. D. Kurenkov, “On hyperbolic attractors and repellers of endomorphisms”, Nelin. Dinam., 13:4 (2017), 557–571 |
3
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39. |
Vyacheslav Z. Grines, Elena Ya. Gurevich, Olga V. Pochinka, “On the Number of Heteroclinic Curves of Diffeomorphisms with Surface Dynamics”, Regul. Chaotic Dyn., 22:2 (2017), 122–135 |
7
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40. |
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 ; Proc. Steklov Inst. Math., 297 (2017), 179–187 |
6
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41. |
Ch. Bonatti, V. Z. Grines, O. V. Pochinka, “Realization of Morse–Smale diffeomorphisms on $3$-manifolds”, Trudy Mat. Inst. Steklova, 297 (2017), 46–61 ; Proc. Steklov Inst. Math., 297 (2017), 35–49 |
7
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2016 |
42. |
V. Z. Grines, Ye. V. Zhuzhoma, O. V. Pochinka, “Morse–Smale systems and topological structure of supporting manifolds”, CMFD, 61 (2016), 5–40 |
3
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43. |
V. Z. Grines, O. V. Pochinka, S. van Strien, “On $2$-diffeomorphisms with one-dimensional basic sets and a finite number of moduli”, Mosc. Math. J., 16:4 (2016), 727–749 |
10
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44. |
Vyacheslav Z. Grines, Dmitry S. Malyshev, Olga V. Pochinka, Svetlana Kh. Zinina, “Efficient Algorithms for the Recognition of Topologically Conjugate Gradient-like Diffeomorhisms”, Regul. Chaotic Dyn., 21:2 (2016), 189–203 |
7
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45. |
V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “On embedding Morse–Smale diffeomorphisms on the sphere in topological flows”, Uspekhi Mat. Nauk, 71:6(432) (2016), 163–164 ; Russian Math. Surveys, 71:6 (2016), 1146–1148 |
4
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46. |
V. Z. Grines, E. D. Kurenkov, “On structure of one dimensional basic sets of endomorphisms of surfaces”, Zhurnal SVMO, 18:2 (2016), 16–24 |
47. |
V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “Heteroclinic Curves of Gradient-like Diffeomorphsms and the Topology of Ambient Manifolds”, Zhurnal SVMO, 18:2 (2016), 11–15 |
48. |
V. Z. Grines, O. V. Pochinka, A. A. Shilovskaya, “Diffeomorphisms of 3-manifolds with 1-dimensional basic sets exteriorly situated on 2-tori”, Zhurnal SVMO, 18:1 (2016), 17–26 |
49. |
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 |
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2015 |
50. |
V. Z. Grines, Ye. V. Zhuzhoma, O. V. Pochinka, “Rough diffeomorphisms with basic sets of codimension one”, CMFD, 57 (2015), 5–30 ; Journal of Mathematical Sciences, 225:2 (2017), 195–219 |
3
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51. |
V. Z. Grines, M. K. Noskova, O. V. Pochinka, “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 ; Trans. Moscow Math. Soc., 76:2 (2015), 237–249 |
6
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52. |
V. Z. Grines, Yu. A. Levchenko, O. V. Pochinka, “Topological Classification of Structurally Stable 3-Diffeomorphisms with Two-Dimensional Basis Sets”, Mat. Zametki, 97:2 (2015), 318–320 ; Math. Notes, 97:2 (2015), 304–306 |
2
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53. |
V. Z. Grines, M. K. Noskova, O. V. Pochinka, “Construction of an energy function for A-diffeomorphisms of two-dimensional non-wandering sets on 3-manifolds”, Zhurnal SVMO, 17:3 (2015), 12–17 |
2
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54. |
V. Z. Grines, O. V. Pochinka, A. A. Shilovskaya, “Topogically pseudocoherent diffeomorphisms of 3-manifolds”, Zhurnal SVMO, 17:2 (2015), 27–33 |
55. |
V. Z. Grines, Yu. A. Levchenko, O. V. Pochinka, “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 |
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2014 |
56. |
V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “The Energy Function of Gradient-Like Flows and the Topological Classification Problem”, Mat. Zametki, 96:6 (2014), 856–863 ; Math. Notes, 96:6 (2014), 921–927 |
4
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57. |
VyacheslavZ. Grines, Elena Ya. Gurevich, Evgenii V. Zhuzhoma, Svetlana Kh. Zinina, “Heteroclinic curves of Morse–Smale cascades and separators in magnetic field of plasma”, Nelin. Dinam., 10:4 (2014), 427–438 |
9
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58. |
Vyacheslav Z. Grines, Yulia A. Levchenko, Olga V. Pochinka, “On topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers”, Nelin. Dinam., 10:1 (2014), 17–33 |
7
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59. |
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 |
6
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60. |
V. Z. Grines, S. H. Kapkaeva, O. V. Pochinka, “A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces”, Mat. Sb., 205:10 (2014), 19–46 ; Sb. Math., 205:10 (2014), 1387–1412 |
15
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61. |
V. Z. Grines, M. K. Noskova, O. V. Pochinka, “Energy function for structurally stable 3-diffeomorphisms with two-dimensional expanding attractor”, Zhurnal SVMO, 16:2 (2014), 20–25 |
62. |
V. Z. Grines, A. A. Shilovskaya, “Three-dimensional mapping with two-dimensional expansive attractors and repellers.”, Zhurnal SVMO, 16:1 (2014), 55–60 |
63. |
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 |
2
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2013 |
64. |
V. Z. Grines, O. V. Pochinka, “On the Simple Isotopy Class of a Source–Sink Diffeomorphism on the $3$-Sphere”, Mat. Zametki, 94:6 (2013), 828–845 ; Math. Notes, 94:6 (2013), 862–875 |
9
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65. |
V. Z. Grines, O. V. Pochinka, “Morse–Smale cascades on 3-manifolds”, Uspekhi Mat. Nauk, 68:1(409) (2013), 129–188 ; Russian Math. Surveys, 68:1 (2013), 117–173 |
21
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66. |
V. Z. Grines, T. M. Mitryakova, O. V. Pochinka, “Energy function for rough cascades on surfaces with nontrivial one-dimensional basic sets”, Zhurnal SVMO, 15:4 (2013), 9–14 |
67. |
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 |
68. |
V. Z. Grines, S. H. Kapkaeva, “On classification of gradient-like diffeomorphisms on surfaces by means automorphisms of three-color graphs”, Zhurnal SVMO, 15:2 (2013), 12–22 |
69. |
V. Z. Grines, O. V. Pochinka, A. V. Ruzaev, A. N. Saharov, “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 |
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2012 |
70. |
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 ; Math. Notes, 91:5 (2012), 742–745 |
7
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71. |
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 ; Sb. Math., 203:12 (2012), 1761–1784 |
17
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72. |
V. Z. Grines, Yu. A. Levchenko, “On the realization of structurally stable diffeomorphisms with 2-dimensional surface basic sets”, Zhurnal SVMO, 14:2 (2012), 48–56 |
73. |
V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “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 |
74. |
V. Z. Grines, F. Laudenbach, O. V. Pochinka, “Dynamically ordered energy function for Morse–Smale diffeomorphisms on $3$-manifolds”, Trudy Mat. Inst. Steklova, 278 (2012), 34–48 ; Proc. Steklov Inst. Math., 278 (2012), 27–40 |
14
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2011 |
75. |
V. Z. Grines, Yu. A. Levchenko, “On a topological classification of diffeomorphisms on
3-manifolds with two-dimensional nonwandering set”, Zhurnal SVMO, 13:4 (2011), 7–13 |
76. |
V. Z. Grines, Yu. A. Levchenko, “On classification of A-diffeomorphisms of 3-manifolds with two-dimensional surface attractors and repellers”, Zhurnal SVMO, 13:1 (2011), 29–31 |
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2010 |
77. |
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 |
2
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78. |
V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “Оn topologicaly non-conjugated Morse-Smale diffeomorphisms with trivial frame of separatrixes”, Zhurnal SVMO, 12:1 (2010), 24–32 |
79. |
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 ; Proc. Steklov Inst. Math., 271 (2010), 103–124 |
50
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80. |
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 ; Proc. Steklov Inst. Math., 270 (2010), 57–79 |
18
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2009 |
81. |
V. Grines, F. Laudenbach, O. Pochinka, “Self-indexing energy function for Morse–Smale diffeomorphisms on 3-manifolds”, Mosc. Math. J., 9:4 (2009), 801–821 |
15
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82. |
V. Z. Grines, F. Laudenbach, O. V. Pochinka, “Quasi-Energy Function for Diffeomorphisms with Wild Separatrices”, Mat. Zametki, 86:2 (2009), 175–183 ; Math. Notes, 86:2 (2009), 163–170 |
6
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83. |
V. Z. Grines, O. V. Pochinka, A. E. Shishenkova, L. A. Kuprina, “$f$-adapted filtration for Morse-Smale diffeomorphisms”, Trudy SVMO, 11:2 (2009), 26–34 |
84. |
V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, A. E. Shishenkova, “Оn classification of Morse-Smale diffeomorphisms with trivial embedded separatrices on $3$-manofolds”, Trudy SVMO, 11:1 (2009), 50–63 |
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2008 |
85. |
V. Z. Grines, O. V. Pochinka, A. E. Shishenkova, “Lyapunov functions for dynamical systems”, Trudy SVMO, 10:2 (2008), 11–20 |
86. |
V. Z. Grines, O. V. Pochinka, A. E. Shishenkova, “Diffeomorphisms of 3-sphere with wild frame of separatrices”, Trudy SVMO, 10:1 (2008), 132–137 |
87. |
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 |
88. |
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 ; Proc. Steklov Inst. Math., 261 (2008), 59–83 |
19
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2007 |
89. |
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 ; Proc. Steklov Inst. Math., 256 (2007), 47–61 |
15
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2006 |
90. |
V. Z. Grines, E. V. Zhuzhoma, “Expanding attractors”, Regul. Chaotic Dyn., 11:2 (2006), 225–246 |
4
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2005 |
91. |
V. Z. Grines, V. S. Medvedev, E. V. Zhuzhoma, “On Surface Attractors and Repellers in 3-Manifolds”, Mat. Zametki, 78:6 (2005), 813–826 ; Math. Notes, 78:6 (2005), 757–767 |
22
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92. |
Ch. Bonatti, V. Z. Grines, O. V. Pochinka, “Classification of Morse–Smale Diffeomorphisms with a Finite Set of Heteroclinic Orbits on 3-Manifolds”, Trudy Mat. Inst. Steklova, 250 (2005), 5–53 ; Proc. Steklov Inst. Math., 250 (2005), 1–46 |
28
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2003 |
93. |
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 ; Math. Notes, 74:3 (2003), 352–366 |
24
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94. |
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 ; Sb. Math., 194:7 (2003), 979–1007 |
40
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2002 |
95. |
V. Z. Grines, E. V. Zhuzhoma, “Structurally stable diffeomorphisms with basis sets of codimension one”, Izv. RAN. Ser. Mat., 66:2 (2002), 3–66 ; Izv. Math., 66:2 (2002), 223–284 |
16
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96. |
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 ; Proc. Steklov Inst. Math., 236 (2002), 58–69 |
10
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1999 |
97. |
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 ; Math. Notes, 66:6 (1999), 781–784 |
3
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1997 |
98. |
V. Z. Grines, “Асимптотическое поведение многообразий структурно устойчивых диффеоморфизмов поверхностей и геодезические линии”, Matem. Mod., 9:10 (1997), 25–26 |
99. |
V. Z. Grines, “A representation of one-dimensional attractors of $A$-diffeomorphisms by hyperbolic homeomorphisms”, Mat. Zametki, 62:1 (1997), 76–87 ; Math. Notes, 62:1 (1997), 64–73 |
5
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100. |
V. Z. Grines, “On the topological classification of structurally stable diffeomorphisms of surfaces with one-dimensional attractors and repellers”, Mat. Sb., 188:4 (1997), 57–94 ; Sb. Math., 188:4 (1997), 537–569 |
32
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1996 |
101. |
V. Z. Grines, Kh. Kh. Kalai, “Conditions of topological conjugacy of gradient-like diffeomorphisms on irreducible 3-manifolds”, Mat. Zametki, 59:1 (1996), 73–80 ; Math. Notes, 59:1 (1996), 52–57 |
1
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1995 |
102. |
V. Z. Grines, “Topological classification of structurally stable diffeomorphisms with one-dimensional attractors and repellers on surfaces”, Matem. Mod., 7:5 (1995), 46–47 |
103. |
V. Z. Grines, “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 ; Math. Notes, 58:5 (1995), 1231–1233 |
104. |
S. Kh. Aranson, V. Z. Grines, E. V. Zhuzhoma, “On the geometry and topology of flows and foliations on surfaces and the Anosov problem”, Mat. Sb., 186:8 (1995), 25–66 ; Sb. Math., 186:8 (1995), 1107–1146 |
5
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1994 |
105. |
V. Z. Grines, Kh. Kh. Kalai, “On the topological classification of gradient-like diffeomorphisms on irreducible three-dimensional manifolds”, Uspekhi Mat. Nauk, 49:2(296) (1994), 149–150 ; Russian Math. Surveys, 49:2 (1994), 157–158 |
2
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1993 |
106. |
V. Z. Grines, “Topological classification of Morse–Smale diffeomorphisms with finite set of heteroclinic trajectories on surfaces”, Mat. Zametki, 54:3 (1993), 3–17 ; Math. Notes, 54:3 (1993), 881–889 |
32
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1991 |
107. |
D. V. Anosov, S. Kh. Aranson, V. Z. Grines, R. V. Plykin, E. A. Sataev, A. V. Safonov, V. V. Solodov, A. N. Starkov, A. M. Stepin, S. V. Shlyachkov, “Dynamical systems with hyperbolic behavior”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 66 (1991), 5–242 |
51
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1990 |
108. |
S. Kh. Aranson, V. Z. Grines, “The topological classification of cascades on closed two-dimensional manifolds”, Uspekhi Mat. Nauk, 45:1(271) (1990), 3–32 ; Russian Math. Surveys, 45:1 (1990), 1–35 |
26
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1986 |
109. |
S. Kh. Aranson, V. Z. Grines, “Topological classification of flows on closed two-dimensional manifolds”, Uspekhi Mat. Nauk, 41:1(247) (1986), 149–169 ; Russian Math. Surveys, 41:1 (1986), 183–208 |
23
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1985 |
110. |
S. Kh. Aranson, V. Z. Grines, “Smooth dynamical systems. Chapter 4”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1 (1985), 229–237 |
5
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111. |
V. Z. Grines, Kh. Kh. Kalai, “Diffeomorphisms of two-dimensional manifolds with spatially situated basic sets”, Uspekhi Mat. Nauk, 40:1(241) (1985), 189–190 ; Russian Math. Surveys, 40:1 (1985), 221–222 |
9
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1981 |
112. |
S. Kh. Aranson, V. Z. Grines, “Homeomorphisms with minimal entropy on two-dimensional manifolds”, Uspekhi Mat. Nauk, 36:2(218) (1981), 175–176 ; Russian Math. Surveys, 36:2 (1981), 163–164 |
5
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1979 |
113. |
V. Z. Grines, E. V. Zhuzhoma, “The topological classification of orientable attractors on an $n$-dimensional torus”, Uspekhi Mat. Nauk, 34:4(208) (1979), 185–186 ; Russian Math. Surveys, 34:4 (1979), 163–164 |
18
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1978 |
114. |
S. Kh. Aranson, V. Z. Grines, “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 ; Math. USSR-Izv., 12:1 (1978), 103–124 |
20
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1977 |
115. |
V. Z. Grines, “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 |
28
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1975 |
116. |
V. Z. Grines, “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 |
35
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1974 |
117. |
V. Z. Grines, “The topological equivalence of one-dimensional basic sets of diffeomorphisms on two-dimensional manifolds”, Uspekhi Mat. Nauk, 29:6(180) (1974), 163–164 |
18
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1973 |
118. |
S. Kh. Aranson, V. Z. Grines, “The topological equivalence of minimal sets of dynamical systems on two-dimensional manifolds”, Uspekhi Mat. Nauk, 28:4(172) (1973), 205–206 |
2
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119. |
S. Kh. Aranson, V. Z. Grines, “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 ; Math. USSR-Sb., 19:3 (1973), 365–393 |
41
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2022 |
120. |
O. N. Ageev, Ya. B. Vorobets, B. Weiss, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, L. S. Efremova, A. Yu. Zhirov, E. V. Zhuzhoma, B. S. Kashin, V. N. Kolokoltsov, A. V. Kochergin, L. M. Lerman, I. V. Mykytyuk, V. I. Oseledets, A. Yu. Plakhov, O. V. Pochinka, V. V. Ryzhikov, V. Zh. Sakbaev, A. G. Sergeev, Ya. G. Sinai, A. T. Tagi-Zade, S. V. Tikhonov, J.-P. Thouvenot, A. Ya. Helemskii, A. I. Shafarevich, “Anatolii Mikhailovich Stepin (obituary)”, Uspekhi Mat. Nauk, 77:2(464) (2022), 189–194 ; Russian Math. Surveys, 77:2 (2022), 361–367 |
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2021 |
121. |
P. A. Vel'misov, V. Z. Grines, R. V. Zhalnin, E. B. Kuznetsov, T. Ph. Mamedova, P. V. Senin, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, “To the 80th anniverssry of Ilya Vladimirovich Boykov”, Zhurnal SVMO, 23:3 (2021), 318–321 |
122. |
A. S. Andreev, I. V. Boykov, P. A. Vel'misov, V. Z. Grines, E. V. Desyaev, D. K. Egorova, R. V. Zhalnin, E. B. Kuznetsov, I. V. Lutoshkin, A. G. Lvov, T. Ph. Mamedova, S. M. Muryumin, I. P. Ryazantseva, P. V. Senin, D. N. Sidorov, N. A. Sidorov, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “To the 80th anniversary of Vladimir Konstantinovich Gorbunov”, Zhurnal SVMO, 23:2 (2021), 207–210 |
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2020 |
123. |
I. V. Boykov, P. A. Vel'misov, È. R. Gizzatova, V. K. Gorbunov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, E. V. Desyaev, D. K. Egorova, A. P. Zhabko, R. V. Zhalnin, A. S. Ismagilova, V. N. Krizsky, E. B. Kuznetsov, T. Ph. Mamedova, N. D. Morozkin, S. M. Muryumin, S. A. Mustafina, O. V. Pochinka, I. P. Ryazantseva, K. B. Sabitov, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “In memory of Spivak Semen Izrailevich”, Zhurnal SVMO, 22:4 (2020), 463–466 |
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2019 |
124. |
A. Yu. Aleksandrov, L. A. Antoshkina, E. V. Afinogentova, A. S. Andreev, I. G. Bashmakov, P. A. Vel'misov, V. Z. Grines, E. V. Desyaev, O. V. Druzhinina, D. K. Egorova, A. P. Zhabko, R. V. Zhalnin, E. A. Lizina, A. M. Kamachkin, A. A. Kosov, O. G. Kostrov, E. B. Kuznetsov, T. Ph. Mamedova, S. I. Martynov, S. M. Muryumin, V. I. Nikonov, S. I. Peregudin, E. E. Peskova, I. P. Ryazantseva, P. V. Senin, G. A. Smolkin, A. G. Smolyanov, L. A. Sukharev, A. O. Syromyasov, V. F. Tishkin, A. Yu. Uteshev, S. E. Kholodova, I. I. Chuchaev, P. A. Shamanaev, A. V. Shchennikov, E. V. Shchennikova, O. S. Yazovtseva, “In memory of Vladimir Nikolaevich Shchennikov”, Zhurnal SVMO, 21:2 (2019), 269–273 |
125. |
I. V. Boykov, D. I. Boyarkin, S. M. Vdovin, P. A. Vel'misov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, D. K. Egorova, R. V. Zhalnin, V. T. Zhukov, T. Sh. Kal'menov, L. V. Klochkova, M. M. Krasnov, V. N. Krizsky, E. B. Kuznetsov, M. E. Ladonkina, T. Ph. Mamedova, V. F. Masyagin, P. P. Matus, N. D. Morozkin, S. M. Muryumin, O. A. Neklyudova, Yu. N. Orlov, A. Yu. Pavlov, E. E. Peskova, Yu. A. Poveschenko, I. P. Ryazantseva, V. I. Safonkin, P. V. Senin, G. A. Smolkin, S. I. Spivak, D. V. Suzan, L. A. Sukharev, A. O. Syromyasov, O. B. Feodoritova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, “To the seventieth anniversary of Vladimir Fedorovich Tishkin”, Zhurnal SVMO, 21:1 (2019), 111–113 |
|
2018 |
126. |
A. S. Andreev, A. V. Ankilov, T. E. Badokina, D. I. Boyarkin, I. V. Boykov, D. K. Egorova, V. Z. Grines, S. A. Grishina, V. K. Gorbunov, Yu. N. Deryugin, E. V. Desyaev, R. V. Zhalnin, I. V. Konopleva, L. R. Kim-Tyan, V. N. Krizsky, S. I. Martynov, T. Ph. Mamedova, S. M. Muryumin, E. E. Peskova, Yu. V. Pokladova, O. V. Pochinka, V. P. Radchenko, I. P. Ryazantseva, S. I. Spivak, L. A. Sukharev, A. O. Syromyasov, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, A.-V. Ion, “Velmisov Petr Aleksandrovich (on his seventieth birthday)”, Zhurnal SVMO, 20:3 (2018), 338–340 |
127. |
A. S. Andreev, A. N. Andronov, T. E. Badokina, D. I. Boyarkin, I. V. Boykov, P. A. Vel'misov, V. Z. Grines, S. A. Grishina, V. K. Gorbunov, Yu. N. Deryugin, A. P. Zhabko, R. V. Zhalnin, I. V. Konopleva, L. R. Kim-Tyan, V. N. Krizsky, T. Ph. Mamedova, S. M. Muryumin, O. V. Pochinka, I. P. Ryazantseva, N. V. Savinov, A. R. Sibireva, L. A. Sukharev, V. F. Tishkin, E. V. Foliadova, I. I. Chuchaev, P. A. Shamanaev, N. G. Yarushkina, “In memory of Boris Vladimirovich Loginov”, Zhurnal SVMO, 20:1 (2018), 103–106 |
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2017 |
128. |
E. N. Artem'eva, I. V. Boykov, M. A. Borisov, D. I. Boyarkin, P. A. Vel'misov, V. K. Gorbunov, T. A. Gorshunova, V. Z. Grines, Yu. N. Deryugin, E. V. Desyaev, D. K. Egorova, R. V. Zhalnin, O. E. Kaledin, V. N. Krizsky, E. B. Kuznetsov, B. V. Loginov, T. Ph. Mamedova, S. I. Martynov, N. D. Morozkin, S. M. Muryumin, I. P. Nikitin, O. V. Pochinka, D. V. Pashutkin, A. Yu. Pavlov, E. E. Peskova, I. P. Ryazantseva, V. I. Safonkin, G. A. Smolkin, S. I. Spivak, L. A. Sukharev, A. O. Syromyasov, M. T. Terekhin, V. F. Tishkin, S. A. Firsova, E. A. Chernoivanova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, Z. Ya. Yakupov, “On the 80th anniversary of professor E.V. Voskresensky's birthday”, Zhurnal SVMO, 19:4 (2017), 95–99 |
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2015 |
129. |
S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Uspekhi Mat. Nauk, 70:2(422) (2015), 181–191 ; Russian Math. Surveys, 70:2 (2015), 369–381 |
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2012 |
130. |
D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Uspekhi Mat. Nauk, 67:3(405) (2012), 175–178 ; Russian Math. Surveys, 67:3 (2012), 573–577 |
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2011 |
131. |
D. V. Anosov, M. Ya. Antonovskii, V. M. Buchstaber, V. Z. Grines, A. Yu. Zhirov, E. V. Zhuzhoma, N. È. Klinshpont, A. A. Mal'tsev, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, L. P. Shil'nikov, “Romen Vasil'evich Plykin (obituary)”, Uspekhi Mat. Nauk, 66:3(399) (2011), 199–202 ; Russian Math. Surveys, 66:3 (2011), 627–631 |
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2010 |
132. |
V. Grines, O. Pochinka, “Energy functions for dynamical systems”, Regul. Chaotic Dyn., 15:2-3 (2010), 185–193 |
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Presentations in Math-Net.Ru |
1. |
Topological structure of manifolds supporting axiom A systems E. V. Zhuzhoma, V. Z. Grines, V. S. Medvedev
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 11, 2023 12:00
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2. |
On one-dimensional contracting repellers of $A$-endomorphisms of the torus V. Z. Grines, D. I. Mints
International conference “Ergodic Theory and Related Topics” November 24, 2022 15:25
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3. |
On the dynamics of 3-homeomorphisms with two-dimensional attractors and repellers E. E. Chilina, V. Z. Grines, O. V. Pochinka
International conference “Ergodic Theory and Related Topics” November 24, 2022 15:00
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4. |
On the dynamics of regular Denjoy type homeomorphisms V. Z. Grines, D. I. Mints
International conference “Ergodic Theory and Related Topics” November 23, 2022 12:20
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5. |
Perturbations of nonhyperbolic automorphisms of the two-dimensional torus V. Z. Grines, D. I. Mints, E. E. Chilina
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 15:30
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6. |
On the decomposition of ambient surfaces for $A$-diffeomorphisms with non-trivial attractors and repellers V. Z. Grines, D. I. Mints
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 8, 2022 12:50
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7. |
On topological classification of dynamical systems with hyperbolic nonwandering sets V. Z. Grines
Regular and Chaotic Dynamics November 29, 2021 14:00
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8. |
On the topology of manifolds admitting diffeomorphisms with orientable expanding attractors and contracting repellers V. Z. Grines
Conference «Hyperbolic Dynamics and Structural Stability» Dedicated to the 85th Anniversary of D. V. Anosov November 10, 2021 14:00
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9. |
О топологии многообразий, допускающих диффеоморфизмы с регулярной и хаотической динамикой V. Z. Grines
August 10, 2021 14:50
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10. |
О топологии несущих многообразий, допускающих $A$-диффеоморфизмы V. Z. Grines
Modern geometry methods April 14, 2021 19:00
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11. |
On topology of ambient manifolds admitting A diffeomorphisms V. Z. Grines
One-Parameter Semigroups of Operators (OPSO) 2021 April 8, 2021 12:15
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12. |
On the embedding of Morse Smale diffeomorphisms in a topological flow O. V. Pochinka, V. Z. Grines, E. Ya. Gurevich
One-Parameter Semigroups of Operators (OPSO) 2021 April 5, 2021 16:10
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13. |
On the topology of manifolds admitting cascades attractor-repeller of the same dimension V. Z. Grines
Dynamics in Siberia - 2019 February 28, 2019 12:00
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14. |
On hyperbolic attractors and topology of ambient manifolds V. Grines
International conference «Real and Complex Dynamical Systems», dedicated to the to the 75th anniversary of Yu. S. Il'yashenko November 29, 2018 09:00
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15. |
On dynamics of cascades with surface dynamics on 3-manifolds V. Z. Grines
Dynamics in Siberia - 2018 March 2, 2018 10:20
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16. |
On Anosov–Weil theory and classification of dynamical systems on surfaces Viacheslav Grines
International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov December 19, 2016 10:00
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17. |
Заседание посвящено памяти Дмитрия Викторовича Аносова A. M. Stepin, L. M. Lerman, V. Z. Grines, S. Yu. Pilyugin, M. I. Zelikin, V. P. Leksin, A. V. Klimenko, Yu. S. Ilyashenko
Meetings of the Moscow Mathematical Society April 7, 2015
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18. |
Classification of structurally stable diffeomorphisms with a two-dimensional non-wandering set V. Z. Grines
International Conference on Differential Equations and Dynamical Systems July 6, 2014 09:00
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19. |
О топологической классификации диффеоморфизмов Морса–Смейла и их вложимости в потоки V. Z. Grines, O. V. Pochinka
Seminar "Optimal Control and Dynamical Systems" April 18, 2012 13:00
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20. |
Топологическая классификация диффеоморфизмов Морса–Смейла на многообразиях размерности большей трех V. Z. Grines, E. Ya. Gurevich
Seminar "Optimal Control and Dynamical Systems" March 12, 2009 12:00
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21. |
Энергетическая функция для диффеоморфизмов Морса–Смейла на 3-многообразиях V. Z. Grines, O. V. Pochinka
Seminar "Optimal Control and Dynamical Systems" May 14, 2008 12:00
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