Pilyugin Sergei Yur'evich

Publications in Math-Net.Ru

1. Limit shadowing in nonhyperbolic nonautonomous dynamics
   
   Mat. Zametki, 119:3 (2026),  454–457
2. Conditions of local parameter identifiability for systems of differential equations with an infinite-dimensional parameter
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:4 (2023),  749–761
3. General hyperbolicity conditions for set-valued mappings
   
   Zap. Nauchn. Sem. POMI, 372 (2009),  172–186
4. $C^0$ Transversality and Shadowing Properties
   
   Trudy Mat. Inst. Steklova, 256 (2007),  305–319
5. Transversality and local inverse shadowing
   
   Regul. Chaotic Dyn., 11:2 (2006),  311–318
6. Rates of convergence of approximate attractors for parabolic equations
   
   Zap. Nauchn. Sem. POMI, 336 (2006),  67–111
7. The Typical Dynamics of Some Mappings Determined by Piecewise Linear Functions
   
   Differ. Uravn., 41:2 (2005),  225–232
8. Convergence of discretized attractors for parabolic equations on the line
   
   Zap. Nauchn. Sem. POMI, 318 (2004),  14–41
9. Shadowing in the Chafee–Infante problem
   
   Algebra i Analiz, 12:4 (2000),  231–272
10. Existence of preserved structures for diffeomorphisms with an ergodic invariant measure
    
    Differ. Uravn., 35:1 (1999),  116–120
11. Local properties of plane homoclinic structures, and Hausdorff dimension
    
    Differ. Uravn., 33:5 (1997),  595–601
12. Persistent structures for diffeomorphisms with ergodic invariant measure
    
    Dokl. Akad. Nauk, 343:3 (1995),  312–313
13. Continuous dependence of attractors on the shape of domain
    
    Zap. Nauchn. Sem. POMI, 221 (1995),  58–66
14. A lower bound on the Hausdorff dimension of homoclinic structures on the plane
    
    Differ. Uravn., 26:11 (1990),  1999–2000
15. The space of dynamical systems with $C^0$-topology
    
    Differ. Uravn., 26:10 (1990),  1659–1670
16. Chain prolongations in typical dynamical systems
    
    Differ. Uravn., 26:8 (1990),  1334–1337
17. Limit sets of trajectories of regions in dynamical systems
    
    Funktsional. Anal. i Prilozhen., 23:3 (1989),  82–83
18. Lipschitz $R$-stability of attracting sets
    
    Differ. Uravn., 24:5 (1988),  776–784
19. Attracting sets and systems without uniqueness
    
    Mat. Zametki, 42:5 (1987),  703–711
20. $C^0$-perturbations of attracting sets and stability of the boundary
    
    Differ. Uravn., 22:10 (1986),  1712–1719
21. Attracting sets with a strong transversality condition on the boundary
    
    Differ. Uravn., 22:9 (1986),  1532–1539
22. Density of the set of attractive compacta
    
    Zap. Nauchn. Sem. LOMI, 143 (1985),  170–175
23. Boundary of the attracting set of a periodic Axiom $A$-system
    
    Differ. Uravn., 17:9 (1981),  1621–1629
24. A manifold that determines the type of asymptotically stable invariant set
    
    Differ. Uravn., 16:12 (1980),  2140–2147
25. Periodic trajectories and the structure of phase diagrams
    
    Differ. Uravn., 15:6 (1979),  1000–1006
26. Simple connectedness with preservation of the phase diagram
    
    Differ. Uravn., 15:3 (1979),  408–416
27. Number of the periodic points of a diffeomorphism
    
    Mat. Zametki, 25:6 (1979),  933–938
28. The boundary of a stable invariant set of the Morse–Smale system
    
    Differ. Uravn., 14:11 (1978),  1997–2001
29. Phase diagrams that determine Morse–Smale systems without periodic trajectories on spheres
    
    Differ. Uravn., 14:2 (1978),  245–254
30. Cycles in phase portraits of Morse–Smale systems
    
    Differ. Uravn., 13:5 (1977),  874–882
31. The topological equivalence of structurally stable three-dimensional systems without periodic trajectories
    
    Differ. Uravn., 11:8 (1975),  1375–1387
32. Systems of Morse–Smale type with identical phase diagrams
    
    Differ. Uravn., 10:5 (1974),  816–821
33. The realizability of the phase diagrams of structurally stable three-dimensional dissipative systems
    
    Differ. Uravn., 10:3 (1974),  553–554
34. The structure of the boundary of the characteristic set of a structurally stable three-dimensional dissipative system
    
    Differ. Uravn., 9:12 (1973),  2152–2161
35. The phase diagrams of three-dimensional systems of differential equations of Morse–Smale type
    
    Differ. Uravn., 9:7 (1973),  1256–1261
36. The limit sets of two-dimensional unstable manifolds in three-dimensional systems of differential equations
    
    Differ. Uravn., 9:6 (1973),  1068–1072
37. The phase diagrams of systems of differential equations that satisfy axiom $A$
    
    Differ. Uravn., 9:4 (1973),  647–649


38. On the 80th birthday of Yulij Sergeevich Ilyashenko
    
    Uspekhi Mat. Nauk, 80:2(482) (2025),  171–183
39. Nikolai Aleksandrovich Vavilov
    
    Zap. Nauchn. Sem. POMI, 531 (2024),  7–40
40. To the 75th anniversary of Vyacheslav Zigmundovich Grines
    
    Zhurnal SVMO, 23:4 (2021),  472–476
41. Periodic shadowing and $\Omega$-stability
    
    Regul. Chaotic Dyn., 15:2-3 (2010),  404–417
42. Viktor Aleksandrovich Pliss (A tribute in honor of his seventieth birthday)
    
    Differ. Uravn., 38:2 (2002),  147–154
43. Nikolaǐ Maksimovich Günter (on the occasion of the 120th anniversary of his birth)
    
    Differ. Uravn., 28:6 (1992),  1096–1099
44. Viktor Aleksandrovich Pliss (on the occasion of his sixtieth birthday)
    
    Differ. Uravn., 27:12 (1991),  2186–2189
45. 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