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Pilyugin, Sergei Yu.

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Author ID: pilyugin.sergei-yu Recent zbMATH articles by "Pilyugin, Sergei Yu."
Published as: Pilyugin, S. Y.; Pilyugin, S. Ya.; Pilyugin, S. Yu; Pilyugin, S. Yu.; Pilyugin, Sergei; Pilyugin, Sergei Yu; Pilyugin, Sergei Yu.; Pilyugin, Sergej Yu.
External Links: ORCID
Documents Indexed: 98 Publications since 1979, including 6 Books
Reviewing Activity: 363 Reviews
all top 5

Serials

12 Differential Equations
7 Differentsial’nye Uravneniya
6 Vestnik St. Petersburg University. Mathematics
4 Vestnik Leningrad University. Mathematics
4 Journal of Dynamics and Differential Equations
3 Journal of Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Doklady Mathematics
3 Lecture Notes in Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Matematicheskie Zametki
2 Random & Computational Dynamics
2 Topological Methods in Nonlinear Analysis
2 Zapiski Nauchnykh Seminarov POMI
2 Journal of Mathematical Sciences (New York)
2 Regular and Chaotic Dynamics
2 Differential Equations
1 Nonlinearity
1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
1 Functional Analysis and its Applications
1 Fundamenta Mathematicae
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Journal of Soviet Mathematics
1 Numerical Functional Analysis and Optimization
1 Topology and its Applications
1 Tatra Mountains Mathematical Publications
1 St. Petersburg Mathematical Journal
1 Journal of Difference Equations and Applications
1 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Discrete and Continuous Dynamical Systems. Series B
1 Proceedings of the Steklov Institute of Mathematics
1 Translations. Series 2. American Mathematical Society
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 De Gruyter Studies in Mathematical Physics

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 665 times in 358 Documents Cited by Year
Shadowing in dynamical systems. Zbl 0954.37014
Pilyugin, S. Yu.
162
1999
Attractors of reaction diffusion systems on infinite lattices. Zbl 1041.37040
Beyn, W.-J.; Pilyugin, S. Yu
45
2003
Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036
Corless, Robert M.; Pilyugin, S. Yu.
45
1995
Orbital and weak shadowing properties. Zbl 1015.37020
Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K.
42
2003
Limit shadowing property. Zbl 0881.58049
Eirola, Timo; Nevanlinna, Olavi; Pilyugin, Sergei Yu.
37
1997
Shadowing is generic. Zbl 0973.54035
Pilyugin, S. Yu.; Plamenevskaya, O. B.
35
1999
Lipschitz shadowing implies structural stability. Zbl 1206.37012
Pilyugin, Sergei Yu; Tikhomirov, Sergey
28
2010
Sets of dynamical systems with various limit shadowing properties. Zbl 1128.37018
Pilyugin, Sergei Yu.
26
2007
Shadowing in structurally stable flows. Zbl 0965.37024
Pilyugin, S. Yu.
23
1997
Inverse shadowing by continuous methods. Zbl 0998.37006
Pilyugin, Sergei Yu.
18
2002
The space of dynamical systems with the \(C^ 0\)-topology. Zbl 0812.54043
Pilyugin, Sergei Yu.
18
1994
Theory of pseudo-orbit shadowing in dynamical systems. Zbl 1252.37019
Pilyugin, S. Yu.
15
2011
\(C^{0}\) transversality and shadowing properties. Zbl 1153.37343
Pilyugin, S. Yu.; Sakai, K.
13
2007
Shadowing in actions of some Abelian groups. Zbl 1047.37014
Pilyugin, Sergei Yu.; Tikhomirov, Sergei B.
13
2003
Introduction to structurally stable systems of differential equations. Translated from the Russian by the author. Zbl 0747.34031
Pilyugin, Sergei Yu.
13
1992
Periodic shadowing and \(\Omega \)-stability. Zbl 1203.37039
Osipov, A. V.; Pilyugin, S. Yu.; Tikhomirov, S. B.
11
2010
Introduction to structurally stable systems of differential equations. Zbl 0698.58032
Pilyugin, S. Yu.
11
1988
Lipschitz shadowing and structural stability of flows. Zbl 1246.37044
Palmer, Kenneth J.; Pilyugin, Sergei Yu.; Tikhomirov, Sergey B.
10
2012
Vector fields with the oriented shadowing property. Zbl 1190.37019
Pilyugin, Sergei Yu.; Tikhomirov, Sergey B.
10
2010
Transversality properties and \(C^1\) open sets of diffeomorphisms with weak shadowing. Zbl 1185.37053
Pilyugin, S. Yu.; Sakai, Kazuhiro; Tarakanov, O. A.
10
2006
Variational shadowing. Zbl 1205.37042
Pilyugin, Sergei Yu.
9
2010
Spaces of dynamical systems. Zbl 1294.37002
Pilyugin, Sergei Yu.
7
2012
Complete families of pseudotrajectories and shape of attractors. Zbl 0809.58027
Pilyugin, S. Yu.
6
1994
Shadowing and hyperbolicity. Zbl 1426.37004
Pilyugin, Sergei Yu.; Sakai, Kazuhiro
5
2017
Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case. Zbl 1172.54014
Pilyugin, Sergei Yu; Rieger, Janosch
5
2008
Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case. Zbl 1171.54017
Pilyugin, Sergei Yu; Rieger, Janosch
5
2008
Generalizations of the notion of hyperbolicity. Zbl 1136.37322
Pilyugin, S. Y.
5
2006
Continuous dependence of attractors on the shape of domain. Zbl 0927.37012
Babin, A. V.; Pilyugin, S. Yu.
5
1995
Inverse shadowing in group actions. Zbl 1378.37051
Pilyugin, Sergei Yu.
3
2017
General hyperbolicity conditions for set-valued mappings. Zbl 1293.37019
Pilyugin, S. Yu; Rieger, J.
3
2011
Dynamical systems with Lipschitz inverse shadowing properties. Zbl 1256.37009
Pilyugin, S. Yu.; Vol’fson, G. I.; Todorov, D. I.
3
2011
Multidimensional \(C^0\) transversality. Zbl 1345.37028
Petrov, Aleksey A.; Pilyugin, Sergei Yu.
2
2015
Lyapunov functions, shadowing and topological stability. Zbl 1368.54016
Petrov, Alexey A.; Pilyugin, Sergei Yu.
2
2014
Sets of vector fields with various shadowing properties of pseudotrajectories. Zbl 1196.37049
Pilyugin, S. Yu.; Tikhomirov, S. B.
2
2008
Pseudotrajectories generated by a discretization of a parabolic equation. Zbl 0857.34046
Eirola, Timo; Pilyugin, Sergej Yu.
2
1996
Local identifiability of linear systems via two-point observation. Zbl 0894.93015
Bodunov, N. A.; Pilyugin, S. Yu.; Postnikov, E. V.
2
1994
Limit sets of trajectories of domains in dynamical systems. Zbl 0695.34046
Pilyugin, S. Yu.
2
1989
Attracting sets and systems without uniqueness. Zbl 0647.58026
Pilyugin, S. Yu.
2
1987
Locally parameter identifiable systems are generic. Zbl 1338.93120
Bodunov, N. A.; Kolbina, S. A.; Pilyugin, S. Yu.
1
2012
Analogues of Takens theorems for generalized actions of the group \(\mathbb{Z}^\infty\). Zbl 1251.37020
Begun, N. A.; Pilyugin, S. Yu.
1
2010
A biographical sketch of Victor A. Pliss. Zbl 1043.01515
Pilyugin, Sergei Yu.; Sell, George R.
1
2003
Shadowing in the Chafee-Infante problem. Zbl 1183.37041
Pilyugin, S. Yu.
1
2001
Uniform exponential stability of the attractors of perturbed evolution equations. Zbl 1039.37070
Kostin, I. N.; Pilyugin, S. Yu.
1
1999
Continuous dependence of attractors on the shape of domain. Zbl 0885.58042
Babin, A. V.; Pilyugin, S. Yu.
1
1995
Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028
Corless, Robert M.; Pilyugin, S. Yu.
1
1995
The space of dynamical systems with \(C^ 0\)-topology. Zbl 0717.58052
Pilyugin, S. Yu.
1
1990
Chain prolongations in typical dynamical systems. Zbl 0713.58021
Pilyugin, S. Yu.
1
1990
Limit sets of trajectories of regions in dynamical systems. Zbl 0705.34051
Pilyugin, S. Yu.
1
1989
Shadowing and hyperbolicity. Zbl 1426.37004
Pilyugin, Sergei Yu.; Sakai, Kazuhiro
5
2017
Inverse shadowing in group actions. Zbl 1378.37051
Pilyugin, Sergei Yu.
3
2017
Multidimensional \(C^0\) transversality. Zbl 1345.37028
Petrov, Aleksey A.; Pilyugin, Sergei Yu.
2
2015
Lyapunov functions, shadowing and topological stability. Zbl 1368.54016
Petrov, Alexey A.; Pilyugin, Sergei Yu.
2
2014
Lipschitz shadowing and structural stability of flows. Zbl 1246.37044
Palmer, Kenneth J.; Pilyugin, Sergei Yu.; Tikhomirov, Sergey B.
10
2012
Spaces of dynamical systems. Zbl 1294.37002
Pilyugin, Sergei Yu.
7
2012
Locally parameter identifiable systems are generic. Zbl 1338.93120
Bodunov, N. A.; Kolbina, S. A.; Pilyugin, S. Yu.
1
2012
Theory of pseudo-orbit shadowing in dynamical systems. Zbl 1252.37019
Pilyugin, S. Yu.
15
2011
General hyperbolicity conditions for set-valued mappings. Zbl 1293.37019
Pilyugin, S. Yu; Rieger, J.
3
2011
Dynamical systems with Lipschitz inverse shadowing properties. Zbl 1256.37009
Pilyugin, S. Yu.; Vol’fson, G. I.; Todorov, D. I.
3
2011
Lipschitz shadowing implies structural stability. Zbl 1206.37012
Pilyugin, Sergei Yu; Tikhomirov, Sergey
28
2010
Periodic shadowing and \(\Omega \)-stability. Zbl 1203.37039
Osipov, A. V.; Pilyugin, S. Yu.; Tikhomirov, S. B.
11
2010
Vector fields with the oriented shadowing property. Zbl 1190.37019
Pilyugin, Sergei Yu.; Tikhomirov, Sergey B.
10
2010
Variational shadowing. Zbl 1205.37042
Pilyugin, Sergei Yu.
9
2010
Analogues of Takens theorems for generalized actions of the group \(\mathbb{Z}^\infty\). Zbl 1251.37020
Begun, N. A.; Pilyugin, S. Yu.
1
2010
Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case. Zbl 1172.54014
Pilyugin, Sergei Yu; Rieger, Janosch
5
2008
Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case. Zbl 1171.54017
Pilyugin, Sergei Yu; Rieger, Janosch
5
2008
Sets of vector fields with various shadowing properties of pseudotrajectories. Zbl 1196.37049
Pilyugin, S. Yu.; Tikhomirov, S. B.
2
2008
Sets of dynamical systems with various limit shadowing properties. Zbl 1128.37018
Pilyugin, Sergei Yu.
26
2007
\(C^{0}\) transversality and shadowing properties. Zbl 1153.37343
Pilyugin, S. Yu.; Sakai, K.
13
2007
Transversality properties and \(C^1\) open sets of diffeomorphisms with weak shadowing. Zbl 1185.37053
Pilyugin, S. Yu.; Sakai, Kazuhiro; Tarakanov, O. A.
10
2006
Generalizations of the notion of hyperbolicity. Zbl 1136.37322
Pilyugin, S. Y.
5
2006
Attractors of reaction diffusion systems on infinite lattices. Zbl 1041.37040
Beyn, W.-J.; Pilyugin, S. Yu
45
2003
Orbital and weak shadowing properties. Zbl 1015.37020
Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K.
42
2003
Shadowing in actions of some Abelian groups. Zbl 1047.37014
Pilyugin, Sergei Yu.; Tikhomirov, Sergei B.
13
2003
A biographical sketch of Victor A. Pliss. Zbl 1043.01515
Pilyugin, Sergei Yu.; Sell, George R.
1
2003
Inverse shadowing by continuous methods. Zbl 0998.37006
Pilyugin, Sergei Yu.
18
2002
Shadowing in the Chafee-Infante problem. Zbl 1183.37041
Pilyugin, S. Yu.
1
2001
Shadowing in dynamical systems. Zbl 0954.37014
Pilyugin, S. Yu.
162
1999
Shadowing is generic. Zbl 0973.54035
Pilyugin, S. Yu.; Plamenevskaya, O. B.
35
1999
Uniform exponential stability of the attractors of perturbed evolution equations. Zbl 1039.37070
Kostin, I. N.; Pilyugin, S. Yu.
1
1999
Limit shadowing property. Zbl 0881.58049
Eirola, Timo; Nevanlinna, Olavi; Pilyugin, Sergei Yu.
37
1997
Shadowing in structurally stable flows. Zbl 0965.37024
Pilyugin, S. Yu.
23
1997
Pseudotrajectories generated by a discretization of a parabolic equation. Zbl 0857.34046
Eirola, Timo; Pilyugin, Sergej Yu.
2
1996
Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036
Corless, Robert M.; Pilyugin, S. Yu.
45
1995
Continuous dependence of attractors on the shape of domain. Zbl 0927.37012
Babin, A. V.; Pilyugin, S. Yu.
5
1995
Continuous dependence of attractors on the shape of domain. Zbl 0885.58042
Babin, A. V.; Pilyugin, S. Yu.
1
1995
Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028
Corless, Robert M.; Pilyugin, S. Yu.
1
1995
The space of dynamical systems with the \(C^ 0\)-topology. Zbl 0812.54043
Pilyugin, Sergei Yu.
18
1994
Complete families of pseudotrajectories and shape of attractors. Zbl 0809.58027
Pilyugin, S. Yu.
6
1994
Local identifiability of linear systems via two-point observation. Zbl 0894.93015
Bodunov, N. A.; Pilyugin, S. Yu.; Postnikov, E. V.
2
1994
Introduction to structurally stable systems of differential equations. Translated from the Russian by the author. Zbl 0747.34031
Pilyugin, Sergei Yu.
13
1992
The space of dynamical systems with \(C^ 0\)-topology. Zbl 0717.58052
Pilyugin, S. Yu.
1
1990
Chain prolongations in typical dynamical systems. Zbl 0713.58021
Pilyugin, S. Yu.
1
1990
Limit sets of trajectories of domains in dynamical systems. Zbl 0695.34046
Pilyugin, S. Yu.
2
1989
Limit sets of trajectories of regions in dynamical systems. Zbl 0705.34051
Pilyugin, S. Yu.
1
1989
Introduction to structurally stable systems of differential equations. Zbl 0698.58032
Pilyugin, S. Yu.
11
1988
Attracting sets and systems without uniqueness. Zbl 0647.58026
Pilyugin, S. Yu.
2
1987
all top 5

Cited by 362 Authors

27 Lee, Manseob
16 Pilyugin, Sergei Yu.
13 Lee, Keonhee
13 Zhao, Caidi
12 Tikhomirov, Sergey B.
9 Pilyugin, Sergeĭ Yur’evich
9 Sakai, Kazuhiro
9 Zhou, Shengfan
8 Carvalho, Bernardo
8 Oprocha, Piotr
8 Valero, José
8 Wang, Bixiang
7 Brzdęk, Janusz
7 Han, Xiaoying
7 Kościelniak, Piotr
7 Mazur, Marcin
7 Morillas, Francisco G.
6 Cordeiro, Welington
6 Good, Chris
6 Kryzhevich, Sergeĭ Gennad’evich
6 Morales, Carlos Arnoldo
5 Bernardes, Nilson C. jun.
5 Meddaugh, Jonathan
5 Van Vleck, Erik S.
4 Bahabadi, Alireza Zamani
4 Bessa, Mário
4 Blonigan, Patrick J.
4 Caraballo Garrido, Tomás
4 Dragičević, Davor
4 Fakhari, Abbas
4 Gan, Shaobo
4 Leonov, Gennadiĭ Alekseevich
4 Li, Xiaojun
4 Mitchell, Joel
4 Park, Junmi
4 Petrov, Alekseĭ Alekseevich
4 Pliss, Viktor Aleksandrovich
4 Popa, Dorian
4 Ribeiro, Raquel
4 Varandas, Paulo
4 Wang, Qiqi
4 Wen, Xiao
4 Zhou, Yunhua
3 Arbieto, Alexander
3 Artigue, Alfonso
3 Bielecki, Andrzej
3 Bodunov, N. A.
3 Das, Ruchi
3 Dieci, Luca
3 Gu, Rongbao
3 Jung, Soon-Mo
3 Kawaguchi, Noriaki
3 Kloeden, Peter Eris
3 Koo, Namjip
3 Kulczycki, Marcin
3 Lu, Kening
3 Ni, Angxiu
3 Osipov, Aleksey V
3 Sell, George Roger
3 Wang, Xiaohu
3 Wu, Xinxing
3 Zhan, Qingyi
3 Zhu, Yujun
2 Backes, Lucas H.
2 Beyn, Wolf-Jürgen
2 Brygin, Sergeĭ Andreevich
2 Cao, Juan
2 Castro, Armando
2 Chung, Nhan-Phu
2 Crovisier, Sylvain
2 Darji, Udayan B.
2 Diamond, Phil
2 Dong, Meihua
2 Eirola, Timo
2 Elia, Cinzia
2 Fisher, Todd L.
2 Florinskiĭ, Aleksandr Alekseevich
2 Garg, Mukta
2 Guihéneuf, Pierre-Antoine
2 Han, Yinghao
2 Hoang, Luan Thach
2 Jia, Xiaolin
2 Jung, Woochul
2 Kiriki, Shin
2 Kozyakin, Viktor Sergeevich
2 Kuznetsov, Nikolay Vladimirovich
2 Kwietniak, Dominik
2 Lee, Jihoon
2 Li, Chunqiu
2 Li, Dingshi
2 Li, Ming
2 Li, Ming
2 Li, Risong
2 Li, Zhiping
2 Longo, Giuseppe
2 Lu, Tianxiu
2 Ma, Xin
2 Messaoudi, Ali
2 Morales Rojas, Carlos Arnoldo
2 Moriyasu, Kazumine
...and 262 more Authors
all top 5

Cited in 110 Serials

27 Journal of Mathematical Analysis and Applications
27 Journal of Differential Equations
19 Dynamical Systems
17 Discrete and Continuous Dynamical Systems
12 Topology and its Applications
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Proceedings of the American Mathematical Society
9 Vestnik St. Petersburg University. Mathematics
9 Journal of Difference Equations and Applications
9 Differential Equations
8 Ergodic Theory and Dynamical Systems
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Advances in Difference Equations
7 Journal of Computational Physics
7 Chaos, Solitons and Fractals
7 Acta Mathematica Sinica. English Series
6 Applied Mathematics and Computation
6 Journal of Dynamics and Differential Equations
6 Differentsial’nye Uravneniya i Protsessy Upravleniya
5 Abstract and Applied Analysis
4 Transactions of the American Mathematical Society
4 Journal of Mathematical Sciences (New York)
4 Journal of Inequalities and Applications
4 Communications of the Korean Mathematical Society
3 Bulletin of the Australian Mathematical Society
3 Journal of Computational and Applied Mathematics
3 Journal of Nonlinear Science
3 Journal of Dynamical and Control Systems
3 Qualitative Theory of Dynamical Systems
3 Discrete and Continuous Dynamical Systems. Series B
3 Asian-European Journal of Mathematics
3 Axioms
2 Computers & Mathematics with Applications
2 Nonlinearity
2 Prikladnaya Matematika i Mekhanika
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Monatshefte für Mathematik
2 Acta Applicandae Mathematicae
2 Physica D
2 Automation and Remote Control
2 Set-Valued Analysis
2 Applied Mathematics. Series B (English Edition)
2 St. Petersburg Mathematical Journal
2 Differential Equations and Dynamical Systems
2 Regular and Chaotic Dynamics
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Communications on Pure and Applied Analysis
2 Journal of Dynamical Systems and Geometric Theories
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Nonlinear Science and Applications
2 Journal of Applied Analysis and Computation
1 Archive for Rational Mechanics and Analysis
1 International Journal of General Systems
1 Journal of Applied Mathematics and Mechanics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Mathematical Notes
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 The Annals of Probability
1 Applied Mathematics and Optimization
1 BIT
1 Fasciculi Mathematici
1 Fundamenta Mathematicae
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of Mathematical Economics
1 Manuscripta Mathematica
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Programming and Computer Software
1 Theoretical Computer Science
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Stochastic Analysis and Applications
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Dynamics and Stability of Systems
1 Journal of Applied Mathematics and Stochastic Analysis
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 SIAM Journal on Applied Mathematics
1 Celestial Mechanics and Dynamical Astronomy
1 Topological Methods in Nonlinear Analysis
1 Doklady Mathematics
1 Nonlinear Dynamics
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Annals of Mathematics. Second Series
1 Journal of Applied Mathematics
1 Advanced Nonlinear Studies
1 Stochastics and Dynamics
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Discrete and Continuous Dynamical Systems. Series S
1 Acta Universitatis Sapientiae. Mathematica
...and 10 more Serials

Citations by Year