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Pilyugin, Sergei Yur'evich
Statistics Math-Net.Ru
Total publications: 41
Scientific articles: 35
Presentations: 11

Number of views:
This page:2614
Abstract pages:6572
Full texts:2577
References:222
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person19861
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/225373
https://orcid.org/0000-0002-0711-3062

Publications in Math-Net.Ru Citations
2009
1. S. Yu. Pilyugin, J. Rieger, “General hyperbolicity conditions for set-valued mappings”, Zap. Nauchn. Sem. POMI, 372 (2009),  172–186  mathnet; J. Math. Sci. (N. Y.), 175:5 (2011), 600–608  scopus 1
2007
2. S. Yu. Pilyugin, K. Sakai, “$C^0$ Transversality and Shadowing Properties”, Trudy Mat. Inst. Steklova, 256 (2007),  305–319  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 290–305  elib  scopus 15
2006
3. S. Yu. Pilyugin, “Transversality and local inverse shadowing”, Regul. Chaotic Dyn., 11:2 (2006),  311–318  mathnet  mathscinet  zmath 1
4. V. S. Kolezhuk, S. Yu. Pilyugin, “Rates of convergence of approximate attractors for parabolic equations”, Zap. Nauchn. Sem. POMI, 336 (2006),  67–111  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:2 (2007), 2883–2910  scopus 1
2005
5. M. N. Malets, S. Yu. Pilyugin, “The Typical Dynamics of Some Mappings Determined by Piecewise Linear Functions”, Differ. Uravn., 41:2 (2005),  225–232  mathnet  mathscinet; Differ. Equ., 41:2 (2005), 238–245
2004
6. W.-J. Beyn, V. S. Kolezhuk, S. Yu. Pilyugin, “Convergence of discretized attractors for parabolic equations on the line”, Zap. Nauchn. Sem. POMI, 318 (2004),  14–41  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:2 (2006), 3655–3671 1
2000
7. S. Yu. Pilyugin, “Shadowing in the Chafee–Infante problem”, Algebra i Analiz, 12:4 (2000),  231–272  mathnet  mathscinet  zmath; St. Petersburg Math. J., 12:4 (2000), 681–711 2
1999
8. V. A. Pliss, S. Yu. Pilyugin, “Existence of preserved structures for diffeomorphisms with an ergodic invariant measure”, Differ. Uravn., 35:1 (1999),  116–120  mathnet  mathscinet; Differ. Equ., 35:1 (1999), 117–121
1997
9. E. V. Vasil'eva, S. Yu. Pilyugin, V. A. Pliss, “Local properties of plane homoclinic structures, and Hausdorff dimension”, Differ. Uravn., 33:5 (1997),  595–601  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 599–605
1995
10. V. A. Pliss, S. Yu. Pilyugin, “Persistent structures for diffeomorphisms with ergodic invariant measure”, Dokl. Akad. Nauk, 343:3 (1995),  312–313  mathnet  mathscinet  zmath
11. A. V. Babin, S. Yu. Pilyugin, “Continuous dependence of attractors on the shape of domain”, Zap. Nauchn. Sem. POMI, 221 (1995),  58–66  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3304–3310 20
1990
12. N. B. Ampilova, S. Yu. Pilyugin, “A lower bound on the Hausdorff dimension of homoclinic structures on the plane”, Differ. Uravn., 26:11 (1990),  1999–2000  mathnet  mathscinet  zmath
13. S. Yu. Pilyugin, “The space of dynamical systems with $C^0$-topology”, Differ. Uravn., 26:10 (1990),  1659–1670  mathnet  mathscinet; Differ. Equ., 26:10 (1990), 1219–1229
14. S. Yu. Pilyugin, “Chain prolongations in typical dynamical systems”, Differ. Uravn., 26:8 (1990),  1334–1337  mathnet  mathscinet  zmath; Differ. Equ., 26:8 (1990), 976–978
1989
15. S. Yu. Pilyugin, “Limit sets of trajectories of regions in dynamical systems”, Funktsional. Anal. i Prilozhen., 23:3 (1989),  82–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:3 (1989), 242–243  isi
1988
16. O. A. Ivanov, S. Yu. Pilyugin, “Lipschitz $R$-stability of attracting sets”, Differ. Uravn., 24:5 (1988),  776–784  mathnet  mathscinet  zmath; Differ. Equ., 24:5 (1988), 504–510
1987
17. S. Yu. Pilyugin, “Attracting sets and systems without uniqueness”, Mat. Zametki, 42:5 (1987),  703–711  mathnet  mathscinet  zmath; Math. Notes, 42:5 (1987), 887–891  isi 1
1986
18. S. Yu. Pilyugin, “$C^0$-perturbations of attracting sets and stability of the boundary”, Differ. Uravn., 22:10 (1986),  1712–1719  mathnet  mathscinet 1
19. S. Yu. Pilyugin, “Attracting sets with a strong transversality condition on the boundary”, Differ. Uravn., 22:9 (1986),  1532–1539  mathnet  mathscinet
1985
20. S. Yu. Pilyugin, “Density of the set of attractive compacta”, Zap. Nauchn. Sem. LOMI, 143 (1985),  170–175  mathnet  mathscinet  zmath; J. Soviet Math., 37:3 (1987), 1149–1153
1981
21. S. Yu. Pilyugin, “Boundary of the attracting set of a periodic Axiom $A$-system”, Differ. Uravn., 17:9 (1981),  1621–1629  mathnet  mathscinet
1980
22. S. Yu. Pilyugin, “A manifold that determines the type of asymptotically stable invariant set”, Differ. Uravn., 16:12 (1980),  2140–2147  mathnet  mathscinet
1979
23. S. Yu. Pilyugin, “Periodic trajectories and the structure of phase diagrams”, Differ. Uravn., 15:6 (1979),  1000–1006  mathnet  mathscinet  zmath
24. S. Yu. Pilyugin, “Simple connectedness with preservation of the phase diagram”, Differ. Uravn., 15:3 (1979),  408–416  mathnet  mathscinet  zmath 1
25. S. Yu. Pilyugin, “Number of the periodic points of a diffeomorphism”, Mat. Zametki, 25:6 (1979),  933–938  mathnet  mathscinet  zmath; Math. Notes, 25:6 (1979), 481–484  isi
1978
26. S. Yu. Pilyugin, V. A. Pliss, “The boundary of a stable invariant set of the Morse–Smale system”, Differ. Uravn., 14:11 (1978),  1997–2001  mathnet  mathscinet
27. S. Yu. Pilyugin, “Phase diagrams that determine Morse–Smale systems without periodic trajectories on spheres”, Differ. Uravn., 14:2 (1978),  245–254  mathnet  mathscinet  zmath 16
1977
28. S. Yu. Pilyugin, “Cycles in phase portraits of Morse–Smale systems”, Differ. Uravn., 13:5 (1977),  874–882  mathnet  mathscinet  zmath
1975
29. S. Yu. Pilyugin, “The topological equivalence of structurally stable three-dimensional systems without periodic trajectories”, Differ. Uravn., 11:8 (1975),  1375–1387  mathnet  mathscinet  zmath
1974
30. S. Yu. Pilyugin, “Systems of Morse–Smale type with identical phase diagrams”, Differ. Uravn., 10:5 (1974),  816–821  mathnet  mathscinet
31. S. Yu. Pilyugin, “The realizability of the phase diagrams of structurally stable three-dimensional dissipative systems”, Differ. Uravn., 10:3 (1974),  553–554  mathnet  mathscinet
1973
32. S. Yu. Pilyugin, “The structure of the boundary of the characteristic set of a structurally stable three-dimensional dissipative system”, Differ. Uravn., 9:12 (1973),  2152–2161  mathnet  mathscinet
33. S. Yu. Pilyugin, “The phase diagrams of three-dimensional systems of differential equations of Morse–Smale type”, Differ. Uravn., 9:7 (1973),  1256–1261  mathnet  mathscinet
34. S. Yu. Pilyugin, “The limit sets of two-dimensional unstable manifolds in three-dimensional systems of differential equations”, Differ. Uravn., 9:6 (1973),  1068–1072  mathnet  mathscinet  zmath
35. S. Yu. Pilyugin, “The phase diagrams of systems of differential equations that satisfy axiom $A$”, Differ. Uravn., 9:4 (1973),  647–649  mathnet  mathscinet
2021
36. O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. V. Turaev, N. G. Chebochko, E. E. Chilina, P. A. Shamanaev, D. D. Shubin, E. I. Yakovlev, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021),  472–476  mathnet
2010
37. A. V. Osipov, S. Yu. Pilyugin, S. B. Tikhomirov, “Periodic shadowing and $\Omega$-stability”, Regul. Chaotic Dyn., 15:2-3 (2010),  404–417  mathnet 5
2002
38. Yu. N. Bibikov, N. A. Izobov, V. A. Il'in, V. A. Kondratiev, N. N. Krasovskii, L. D. Kudryavtsev, G. A. Leonov, V. M. Millionshchikov, Yu. S. Osipov, S. Yu. Pilyugin, N. Kh. Rozov, “Viktor Aleksandrovich Pliss (A tribute in honor of his seventieth birthday)”, Differ. Uravn., 38:2 (2002),  147–154  mathnet  mathscinet; Differ. Equ., 38:2 (2002), 155–163
1992
39. S. Yu. Pilyugin, V. A. Pliss, “Nikolaǐ Maksimovich Günter (on the occasion of the 120th anniversary of his birth)”, Differ. Uravn., 28:6 (1992),  1096–1099  mathnet  mathscinet
1991
40. N. N. Krasovskii, L. D. Kudryavtsev, G. A. Leonov, Yu. S. Osipov, S. Yu. Pilyugin, “Viktor Aleksandrovich Pliss (on the occasion of his sixtieth birthday)”, Differ. Uravn., 27:12 (1991),  2186–2189  mathnet  mathscinet  zmath
1983
41. S. Yu. Pilyugin, “Letter to the editors: “Boundary of the attracting set of a periodic Axiom A-system” [Differentsial'nye Uravneniya 17 (1981), no. 9, 1621–1629; MR 83d:58052]”, Differ. Uravn., 19:4 (1983),  729  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Методы отслеживания в негиперболических системах
S. Yu. Pilyugin
Traditional session of MIAN-PDMI "Differential Equations and Dynamical Systems"
May 14, 2023 10:00   
2. Dynamics of a voting process based on the bounded confidence principle
S. Yu. Pilyugin
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 11:30   
3. Conditional shadowing property
S. Yu. Pilyugin
Conference «Hyperbolic Dynamics and Structural Stability» Dedicated to the 85th Anniversary of D. V. Anosov
November 10, 2021 16:00   
4. Dynamical models of some sociological problems
S. Yu. Pilyugin
Joint Mathematical seminar of Saint Petersburg State University and Peking University
March 25, 2021 16:00
5. From regular dynamics to chaos
S. Yu. Pilyugin
Seminar on the History of Mathematics
May 3, 2018 18:00   
6. Shadowing and inverse shadowing in group actions
Sergei Yu. Pilyugin
International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov
December 20, 2016 15:00   
7. 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
8. Структурная устойчивость векторных полей со свойствами отслеживания
S. Tikhomirov, S. Pilyugin
Seminar "Optimal Control and Dynamical Systems"
February 24, 2010 12:00
9. Сложные структуры в динамике
S. Yu. Pilyugin
Meetings of the St. Petersburg Mathematical Society
May 13, 2006
10. Orbit shadowing
S. Yu. Pilyugin
Meetings of the St. Petersburg Mathematical Society
February 18, 2003
11. Shadowing of pseudotrajectories in dynamical systems
S. Yu. Pilyugin
Meetings of the St. Petersburg Mathematical Society
May 12, 1998

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