Edit Profile (opens in new tab) Pilyugin, Sergeĭ Yur’evich Co-Author Distance Author ID: pilyugin.sergei-yu Published as: Pilyugin, S. Yu.; Piljugin, S. Ju.; Pilyugin, Sergei Yu.; Pilyugin, Sergei Yurievich; Pilyugin, Sergei Yu; Pilyugin, Sergej Yu.; Pilyugin, S. Yu; Pilyugin, Sergeĭ Yur’evich; Pilyugin, Sergey Yu.; Pilyugin, Sergei; Pilyugin, S. Ya.; Pilygin, S. Yu.; Pilyugin, S. Y. more...less Further Spellings: Пилюгин Сергей Юрьевич External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 133 Publications since 1972, including 7 Books and 2 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 366 Reviews Biographic References: 1 Publication Co-Authors: 132 Co-Authors with 58 Joint Publications 2,602 Co-Co-Authors all top 5 Co-Authors 74 single-authored 8 Tikhomirov, Sergey B. 5 Bodunov, Nikolai A. 5 Rodionova, Anastasia Aleksandrovna 4 Pliss, Viktor Aleksandrovich 4 Sakai, Kazuhiro 3 Ivanov, Oleg A. 3 Kolbina, S. A. 3 Rieger, Janosch 2 Ampilova, Natal’ya Borisovna 2 Babin, Anatoli V. 2 Begun, Nikita Andreevich 2 Beyn, Wolf-Jürgen 2 Bibikov, Yuriĭ Nikolaevich 2 Corless, Robert Malcolm 2 Eirola, Timo 2 Kolezhuk, V. S. 2 Osipov, Aleksey V. 2 Petrov, Alexey A. 1 Afraimovich, Valentin S. 1 Akhmet’ev, Pëtr Mikhaĭlovich 1 Anashkin, Oleg V. 1 Anitova, E. S. 1 Astashova, Irina Viktorovna 1 Balandin, Dmitriĭ Vladimirovich 1 Barinova, Marina Konstantinovna 1 Basov, Vladimir Vladmirovich 1 Begun, E. N. 1 Belykh, Vladimir Nikitich 1 Bezdenezhnykh, A. N. 1 Borevich, Zenon Ivanovich 1 Borodin, Andreĭ Nikolaevich 1 Campi, Marco Claudio 1 Chebochko, N. G. 1 Chilina, Ekaterina Evgen’evna 1 Churin, Yuriĭ Vasil’evich 1 Davydov, Alekseĭ Aleksandrovich 1 Ermakov, Mikhaĭl Sergeevich 1 Galkin, Oleg Evgen’evich 1 Galkina, Svetlana Yur’evna 1 Glysin, S. D. 1 Golubev, Yuriĭ K. 1 Gonchenko, Sergey V. 1 Gorodetskii, Anton Semenovich 1 Gubina, Elena V. 1 Gurevich, Elena Ya. 1 Ibragimov, Il’dar Abdullovich 1 Il’yashenko, Yuliĭ Sergeevich 1 Isaenkova, Natal’ya Viktorovna 1 Ivanov, Boris Filippovich 1 Izobov, Nikolaĭ Alekseevich 1 Kazakov, Alexey O. 1 Kiguradze, V. T. 1 Klimenko, Alexey V. 1 Komech, S. A. 1 Kordyukov, Yuri A. 1 Kostin, Ilya-Nikolaï 1 Krachun, V. N. 1 Krasovskii, S. G. 1 Krasovskiĭ, Nikolaĭ Nikolaevich 1 Kruglov, Evgeniĭ Valentinovich 1 Kruglov, Vladislav Evgen’evich 1 Kryzhevich, Sergeĭ Gennad’evich 1 Kudryavtsev, Lev Dmitrievich 1 Kurzhanskiĭ, Aleksandr Borisovich 1 Kutoyants, Yury A. 1 Kuznetsov, Nikolay Vladimirovich 1 Lando, Sergei K. 1 Leonov, Gennadiĭ Alekseevich 1 Lepskiĭ, Oleg Vital’evich 1 Lerman, Lev 1 Levchenko, Yulia A. 1 Lëzina, T. A. 1 Lifshits, Mikhail A. 1 Maksymenko, Sergiĭ Ivanovych 1 Malets, M. N. 1 Malkin, Mikhail Iosifovich 1 Malyshev, Dmitriĭ Sergeevich 1 Mamaev, V. K. 1 Mamedova, T. F. 1 Mazanik, Sergeĭ Alekseevich 1 Medvedev, Timur V. 1 Medvedev, Vladislav Sergeevich 1 Mints, Dmitriĭ Il’ich 1 Mitryakova, T. M. 1 Monakov, Grigorii V. 1 Morosov, A. D. 1 Morosov, A. I. 1 Morozov, Nikita Fedorovich 1 Nevanlinna, Olavi 1 Nikitin, Yakov Yur’evich 1 Nozdrinova, Elena V. 1 Orlov, A. K. 1 Osipenko, Georgii Sergeevich 1 Osipov, Yuriĭ Sergeevich 1 Palmer, Kenneth James 1 Pelinovsky, Efim 1 Pesin, Yakov Borisovich 1 Petrov, Alekseĭ Alekseevich 1 Petrov, Nikolaĭ Nikandrovich 1 Petrov, Nikolai Nikolaevich ...and 44 more Co-Authors all top 5 Serials 21 Differential Equations 16 Differentsial’nye Uravneniya 8 Vestnik St. Petersburg University. Mathematics 7 Differentsial’nye Uravneniya i Protsessy Upravleniya 5 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 5 Journal of Dynamics and Differential Equations 4 Vestnik Leningrad University. Mathematics 4 Discrete and Continuous Dynamical Systems 4 Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 Doklady Mathematics 3 Lecture Notes in Mathematics 2 Mathematical Notes 2 Matematicheskie Zametki 2 Random & Computational Dynamics 2 Zapiski Nauchnykh Seminarov POMI 2 Regular and Chaotic Dynamics 2 Journal of Dynamical and Control Systems 2 Lobachevskii Journal of Mathematics 2 Networks and Heterogeneous Media 2 De Gruyter Studies in Mathematical Physics 1 Nonlinearity 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 Dynamical Systems 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 Science China. Mathematics 1 Russian Journal of Nonlinear Dynamics all top 5 Fields 99 Dynamical systems and ergodic theory (37-XX) 45 Ordinary differential equations (34-XX) 9 General topology (54-XX) 8 History and biography (01-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Partial differential equations (35-XX) 7 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Topological groups, Lie groups (22-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 59 Publications have been cited 922 times in 511 Documents Cited by ▼ Year ▼ Shadowing in dynamical systems. Zbl 0954.37014 Pilyugin, S. Yu. 237 1999 Attractors of reaction diffusion systems on infinite lattices. Zbl 1041.37040 Beyn, W.-J.; Pilyugin, S. Yu 57 2003 Approximate and real trajectories for generic dynamical systems. Zbl 0821.58036 Corless, Robert M.; Pilyugin, S. Yu. 52 1995 Orbital and weak shadowing properties. Zbl 1015.37020 Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K. 52 2003 Shadowing is generic. Zbl 0973.54035 Pilyugin, S. Yu.; Plamenevskaya, O. B. 47 1999 Limit shadowing property. Zbl 0881.58049 Eirola, Timo; Nevanlinna, Olavi; Pilyugin, Sergei Yu. 46 1997 Lipschitz shadowing implies structural stability. Zbl 1206.37012 Pilyugin, Sergei Yu; Tikhomirov, Sergey 36 2010 Sets of dynamical systems with various limit shadowing properties. Zbl 1128.37018 Pilyugin, Sergei Yu. 33 2007 Shadowing in structurally stable flows. Zbl 0965.37024 Pilyugin, S. Yu. 29 1997 The space of dynamical systems with the \(C^ 0\)-topology. Zbl 0812.54043 Pilyugin, Sergei Yu. 27 1994 Shadowing and hyperbolicity. Zbl 1426.37004 Pilyugin, Sergei Yu.; Sakai, Kazuhiro 27 2017 Inverse shadowing by continuous methods. Zbl 0998.37006 Pilyugin, Sergei Yu. 21 2002 Theory of pseudo-orbit shadowing in dynamical systems. Zbl 1252.37019 Pilyugin, S. Yu. 19 2011 Shadowing in actions of some Abelian groups. Zbl 1047.37014 Pilyugin, Sergei Yu.; Tikhomirov, Sergei B. 19 2003 Continuous dependence of attractors on the shape of domain. Zbl 0927.37012 Babin, A. V.; Pilyugin, S. Yu. 17 1995 Lipschitz shadowing and structural stability of flows. Zbl 1246.37044 Palmer, Kenneth J.; Pilyugin, Sergei Yu.; Tikhomirov, Sergey B. 15 2012 Periodic shadowing and \(\Omega \)-stability. Zbl 1203.37039 Osipov, A. V.; Pilyugin, S. Yu.; Tikhomirov, S. B. 15 2010 \(C^{0}\) transversality and shadowing properties. Zbl 1153.37343 Pilyugin, S. Yu.; Sakai, K. 14 2007 Introduction to structurally stable systems of differential equations. Translated from the Russian by the author. Zbl 0747.34031 Pilyugin, Sergei Yu. 14 1992 Vector fields with the oriented shadowing property. Zbl 1190.37019 Pilyugin, Sergei Yu.; Tikhomirov, Sergey B. 13 2010 Introduction to structurally stable systems of differential equations. (Введение в грубые системы дифференциальных уравнений.) Zbl 0698.58032 Pilyugin, S. Yu. 11 1988 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. 10 2010 Spaces of dynamical systems. Zbl 1294.37002 Pilyugin, Sergei Yu. 9 2012 Phase diagrams, defining Morse-Smale systems without periodic trajectories on spheres. Zbl 0394.34040 Piljugin, S. Ju. 7 1978 Complete families of pseudotrajectories and shape of attractors. Zbl 0809.58027 Pilyugin, S. Yu. 6 1994 Generalizations of the notion of hyperbolicity. Zbl 1136.37322 Pilyugin, S. Y. 6 2006 Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case. Zbl 1171.54017 Pilyugin, Sergei Yu; Rieger, Janosch 6 2008 Opinion formation in voting processes under bounded confidence. Zbl 1423.90035 Pilyugin, Sergei Yu.; Campi, M. C. 6 2019 Inverse shadowing in group actions. Zbl 1378.37051 Pilyugin, Sergei Yu. 6 2017 Phase diagrams determining Morse-Smale systems without periodic trajectories on spheres. Zbl 0409.34041 Piljugin, S. Ju. 5 1978 Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case. Zbl 1172.54014 Pilyugin, Sergei Yu; Rieger, Janosch 5 2008 Theory of shadowing of pseudotrajectories in dynamical systems. Zbl 1412.37034 Pilyugin, Sergeĭ Yur’evich 3 2011 Shadowing near nonhyperbolic fixed points. Zbl 1351.37093 Petrov, Alexey A.; Pilyugin, Sergei 3 2014 Lyapunov functions, shadowing and topological stability. Zbl 1368.54016 Petrov, Alexey A.; Pilyugin, Sergei Yu. 3 2014 Dynamical systems with Lipschitz inverse shadowing properties. Zbl 1256.37009 Pilyugin, S. Yu.; Vol’fson, G. I.; Todorov, D. I. 3 2011 General hyperbolicity conditions for set-valued mappings. Zbl 1293.37019 Pilyugin, S. Yu; Rieger, J. 3 2011 Attracting sets and systems without uniqueness. Zbl 0647.58026 Pilyugin, S. Yu. 2 1987 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 Uniform exponential stability of the attractors of perturbed evolution equations. Zbl 1039.37070 Kostin, I. N.; Pilyugin, S. Yu. 2 1999 Convergence to fixed points in one model of opinion dynamics. Zbl 1476.90071 Bodunov, Nikolai A.; Pilyugin, Sergei Yu. 2 2021 Multidimensional \(C^0\) transversality. Zbl 1345.37028 Petrov, Aleksey A.; Pilyugin, Sergei Yu. 2 2015 Limit sets of trajectories of domains in dynamical systems. Zbl 0695.34046 Pilyugin, S. Yu. 2 1989 Sets of vector fields with various shadowing properties of pseudotrajectories. Zbl 1196.37049 Pilyugin, S. Yu.; Tikhomirov, S. B. 2 2008 Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028 Corless, Robert M.; Pilyugin, S. Yu. 1 1995 A biographical sketch of Victor A. Pliss. Zbl 1043.01515 Pilyugin, Sergei Yu.; Sell, George R. 1 2003 Spaces of dynamical systems. 2nd revised and extended edition. Zbl 1431.37002 Pilyugin, Sergey Yu. 1 2019 Über einen einfachen Zusammenhang mit der Erhaltung eines Phasendiagrammes. Zbl 0412.58021 Pilyugin, S. Yu. 1 1979 Transversality and local inverse shadowing. Zbl 1164.37311 Pilyugin, S. Yu. 1 2006 Shadowing in the Chafee-Infante problem. Zbl 1183.37041 Pilyugin, S. Yu. 1 2001 Perturbations of dynamical systems on simple time scales. Zbl 1521.34084 Pilyugin, S. Yu. 1 2023 Locally parameter identifiable systems are generic. Zbl 1338.93120 Bodunov, N. A.; Kolbina, S. A.; Pilyugin, S. Yu. 1 2012 Limit sets of trajectories of regions in dynamical systems. Zbl 0705.34051 Pilyugin, S. Yu. 1 1989 Chain prolongations in typical dynamical systems. Zbl 0713.58021 Pilyugin, S. Yu. 1 1990 The space of dynamical systems with \(C^ 0\)-topology. Zbl 0717.58052 Pilyugin, S. Yu. 1 1990 Analogues of Takens theorems for generalized actions of the group \(\mathbb{Z}^\infty\). Zbl 1251.37020 Begun, N. A.; Pilyugin, S. Yu. 1 2010 Continuous dependence of attractors on the shape of domain. Zbl 0885.58042 Babin, A. V.; Pilyugin, S. Yu. 1 1995 Dynamics of a continual sociological model. Zbl 1472.37090 Pilyugin, S. Yu.; Sabirova, D. Z. 1 2021 Perturbations of dynamical systems on simple time scales. Zbl 1521.34084 Pilyugin, S. Yu. 1 2023 Convergence to fixed points in one model of opinion dynamics. Zbl 1476.90071 Bodunov, Nikolai A.; Pilyugin, Sergei Yu. 2 2021 Dynamics of a continual sociological model. Zbl 1472.37090 Pilyugin, S. Yu.; Sabirova, D. Z. 1 2021 Opinion formation in voting processes under bounded confidence. Zbl 1423.90035 Pilyugin, Sergei Yu.; Campi, M. C. 6 2019 Spaces of dynamical systems. 2nd revised and extended edition. Zbl 1431.37002 Pilyugin, Sergey Yu. 1 2019 Shadowing and hyperbolicity. Zbl 1426.37004 Pilyugin, Sergei Yu.; Sakai, Kazuhiro 27 2017 Inverse shadowing in group actions. Zbl 1378.37051 Pilyugin, Sergei Yu. 6 2017 Multidimensional \(C^0\) transversality. Zbl 1345.37028 Petrov, Aleksey A.; Pilyugin, Sergei Yu. 2 2015 Shadowing near nonhyperbolic fixed points. Zbl 1351.37093 Petrov, Alexey A.; Pilyugin, Sergei 3 2014 Lyapunov functions, shadowing and topological stability. Zbl 1368.54016 Petrov, Alexey A.; Pilyugin, Sergei Yu. 3 2014 Lipschitz shadowing and structural stability of flows. Zbl 1246.37044 Palmer, Kenneth J.; Pilyugin, Sergei Yu.; Tikhomirov, Sergey B. 15 2012 Spaces of dynamical systems. Zbl 1294.37002 Pilyugin, Sergei Yu. 9 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. 19 2011 Theory of shadowing of pseudotrajectories in dynamical systems. Zbl 1412.37034 Pilyugin, Sergeĭ Yur’evich 3 2011 Dynamical systems with Lipschitz inverse shadowing properties. Zbl 1256.37009 Pilyugin, S. Yu.; Vol’fson, G. I.; Todorov, D. I. 3 2011 General hyperbolicity conditions for set-valued mappings. Zbl 1293.37019 Pilyugin, S. Yu; Rieger, J. 3 2011 Lipschitz shadowing implies structural stability. Zbl 1206.37012 Pilyugin, Sergei Yu; Tikhomirov, Sergey 36 2010 Periodic shadowing and \(\Omega \)-stability. Zbl 1203.37039 Osipov, A. V.; Pilyugin, S. Yu.; Tikhomirov, S. B. 15 2010 Vector fields with the oriented shadowing property. Zbl 1190.37019 Pilyugin, Sergei Yu.; Tikhomirov, Sergey B. 13 2010 Variational shadowing. Zbl 1205.37042 Pilyugin, Sergei Yu. 10 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. Contractive case. Zbl 1171.54017 Pilyugin, Sergei Yu; Rieger, Janosch 6 2008 Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case. Zbl 1172.54014 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. 33 2007 \(C^{0}\) transversality and shadowing properties. Zbl 1153.37343 Pilyugin, S. Yu.; Sakai, K. 14 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. 6 2006 Transversality and local inverse shadowing. Zbl 1164.37311 Pilyugin, S. Yu. 1 2006 Attractors of reaction diffusion systems on infinite lattices. Zbl 1041.37040 Beyn, W.-J.; Pilyugin, S. Yu 57 2003 Orbital and weak shadowing properties. Zbl 1015.37020 Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K. 52 2003 Shadowing in actions of some Abelian groups. Zbl 1047.37014 Pilyugin, Sergei Yu.; Tikhomirov, Sergei B. 19 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. 21 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. 237 1999 Shadowing is generic. Zbl 0973.54035 Pilyugin, S. Yu.; Plamenevskaya, O. B. 47 1999 Uniform exponential stability of the attractors of perturbed evolution equations. Zbl 1039.37070 Kostin, I. N.; Pilyugin, S. Yu. 2 1999 Limit shadowing property. Zbl 0881.58049 Eirola, Timo; Nevanlinna, Olavi; Pilyugin, Sergei Yu. 46 1997 Shadowing in structurally stable flows. Zbl 0965.37024 Pilyugin, S. Yu. 29 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. 52 1995 Continuous dependence of attractors on the shape of domain. Zbl 0927.37012 Babin, A. V.; Pilyugin, S. Yu. 17 1995 Evaluation of upper Lyapunov exponents on hyperbolic sets. Zbl 0821.58028 Corless, Robert M.; Pilyugin, S. Yu. 1 1995 Continuous dependence of attractors on the shape of domain. Zbl 0885.58042 Babin, A. V.; Pilyugin, S. Yu. 1 1995 The space of dynamical systems with the \(C^ 0\)-topology. Zbl 0812.54043 Pilyugin, Sergei Yu. 27 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. 14 1992 Chain prolongations in typical dynamical systems. Zbl 0713.58021 Pilyugin, S. Yu. 1 1990 The space of dynamical systems with \(C^ 0\)-topology. Zbl 0717.58052 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. (Введение в грубые системы дифференциальных уравнений.) Zbl 0698.58032 Pilyugin, S. Yu. 11 1988 Attracting sets and systems without uniqueness. Zbl 0647.58026 Pilyugin, S. Yu. 2 1987 Über einen einfachen Zusammenhang mit der Erhaltung eines Phasendiagrammes. Zbl 0412.58021 Pilyugin, S. Yu. 1 1979 Phase diagrams, defining Morse-Smale systems without periodic trajectories on spheres. Zbl 0394.34040 Piljugin, S. Ju. 7 1978 Phase diagrams determining Morse-Smale systems without periodic trajectories on spheres. Zbl 0409.34041 Piljugin, S. Ju. 5 1978 all cited Publications top 5 cited Publications all top 5 Cited by 488 Authors 35 Lee, Manseob 31 Pilyugin, Sergeĭ Yur’evich 16 Lee, Keonhee 14 Wang, Bixiang 14 Zhao, Caidi 12 Dragičević, Davor 12 Tikhomirov, Sergey B. 11 Oprocha, Piotr 9 Carvalho, Bernardo 9 Good, Chris 9 Morales Rojas, Carlos Arnoldo 9 Zhou, Shengfan 8 Backes, Lucas H. 8 Bernardes, Nilson C. jun. 8 Han, Xiaoying 8 Meddaugh, Jonathan 8 Pochinka, Ol’ga Vital’evna 8 Sakai, Kazuhiro 8 Valero, José 7 Brzdęk, Janusz 7 Grines, Vyacheslav Zigmundovich 7 Kościelniak, Piotr 7 Mazur, Marcin 7 Morillas, Francisco G. 6 Cordeiro, Welington 6 Gurevich, Elena Ya. 6 Kawaguchi, Noriaki 6 Kryzhevich, Sergeĭ Gennad’evich 6 Lee, Jihoon 6 Li, Ming 6 Mitchell, Joel 6 Ni, Angxiu 5 Bahabadi, Alireza Zamani 5 Caraballo Garrido, Tomás 5 Chen, Zhang 5 Darabi, Ali 5 Das, Ruchi 5 Fakhari, Abbas 5 Gan, Shaobo 5 Kloeden, Peter Eris 5 Koo, Namjip 5 Li, Dingshi 5 Park, Junmi 5 Pires, Leonardo 5 Van Vleck, Erik S. 5 Varandas, Paulo 5 Wang, Qiqi 5 Zhan, Qingyi 4 Artigue, Alfonso 4 Barge Yáñez, Héctor 4 Bessa, Mário 4 Blonigan, Patrick J. 4 Bodunov, Nikolai A. 4 Darji, Udayan B. 4 Freitas, Mirelson M. 4 Kuznetsov, Nikolay Vladimirovich 4 Li, Xiaojun 4 Messaoudi, Ali 4 Pliss, Viktor Aleksandrovich 4 Popa, Dorian 4 Ribeiro, Raquel 4 Sanjurjo, José Manuel Rodríguez 4 Sumi, Naoya 4 Tian, Xueting 4 Troubetzkoy, Serge Eugene 4 Wang, Lin 4 Wang, Xiaohu 4 Wen, Xiao 4 Wu, Xinxing 4 Zhang, Jinlian 4 Zhou, Yunhua 3 Arbieto, Alexander 3 Barzanouni, Ali 3 Bielecki, Andrzej 3 Bobok, Jozef 3 Dieci, Luca 3 Dong, Meihua 3 Garg, Mukta 3 Gu, Rongbao 3 Jung, Soon-Mo 3 Kruglov, Vladislav Evgen’evich 3 Kulczycki, Marcin 3 Lee, Hyunhee 3 Leonov, Gennadiĭ Alekseevich 3 Li, Chunqiu 3 Li, Yuhong 3 Lu, Kening 3 Lu, Tianxiu 3 Moriyasu, Kazumine 3 Nguyễn Ngọc Thạch 3 Pujals, Enrique Ramiro 3 Ramos, Anderson J. A. 3 Sell, George Roger 3 Thomas, Joe 3 Tsegmid, Nyamdavaa 3 Yang, Zhijian 3 Zhang, Zhifang 3 Zhu, Yujun 2 Al-Nayef, Anwar A. 2 Brygin, Sergeĭ Andreevich ...and 388 more Authors all top 5 Cited in 151 Serials 36 Journal of Mathematical Analysis and Applications 33 Journal of Differential Equations 24 Dynamical Systems 22 Discrete and Continuous Dynamical Systems 20 Topology and its Applications 12 Ergodic Theory and Dynamical Systems 11 Proceedings of the American Mathematical Society 11 Journal of Difference Equations and Applications 11 Journal of Dynamical and Control Systems 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Vestnik St. Petersburg University. Mathematics 10 Advances in Difference Equations 9 Chaos, Solitons and Fractals 9 Journal of Dynamics and Differential Equations 9 Differential Equations 8 Journal of Computational Physics 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Acta Mathematica Sinica. English Series 7 Qualitative Theory of Dynamical Systems 7 Differentsial’nye Uravneniya i Protsessy Upravleniya 7 Discrete and Continuous Dynamical Systems. Series B 6 Advances in Mathematics 6 Applied Mathematics and Computation 6 Journal of Mathematical Sciences (New York) 6 Communications of the Korean Mathematical Society 5 Nonlinearity 5 Fundamenta Mathematicae 5 Journal of the Korean Mathematical Society 5 Abstract and Applied Analysis 4 Monatshefte für Mathematik 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Journal of Inequalities and Applications 4 Communications on Pure and Applied Analysis 4 Asian-European Journal of Mathematics 3 Bulletin of the Australian Mathematical Society 3 Mathematical Notes 3 Journal of Computational and Applied Mathematics 3 Physica D 3 Journal of Nonlinear Science 3 Regular and Chaotic Dynamics 3 Discrete and Continuous Dynamical Systems. Series S 3 Axioms 2 Computers & Mathematics with Applications 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Russian Mathematical Surveys 2 Prikladnaya Matematika i Mekhanika 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Stochastic Analysis and Applications 2 Applied Mathematics Letters 2 Automation and Remote Control 2 Celestial Mechanics and Dynamical Astronomy 2 SIAM Journal on Scientific Computing 2 Set-Valued Analysis 2 Applied Mathematics. Series B (English Edition) 2 St. Petersburg Mathematical Journal 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Dynamical Systems and Geometric Theories 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Hacettepe Journal of Mathematics and Statistics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Nonlinear Science and Applications 2 Science China. Mathematics 2 Journal of Applied Analysis and Computation 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Houston Journal of Mathematics 1 International Journal of General Systems 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 The Annals of Probability 1 Archiv der Mathematik 1 BIT 1 Fasciculi Mathematici 1 Fuzzy Sets and Systems 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Mathematika 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Programming and Computer Software 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Tokyo Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B ...and 51 more Serials all top 5 Cited in 38 Fields 432 Dynamical systems and ergodic theory (37-XX) 71 Ordinary differential equations (34-XX) 52 General topology (54-XX) 49 Partial differential equations (35-XX) 25 Numerical analysis (65-XX) 24 Probability theory and stochastic processes (60-XX) 19 Difference and functional equations (39-XX) 13 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 11 Systems theory; control (93-XX) 7 Measure and integration (28-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Biology and other natural sciences (92-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year