Edit Profile (opens in new tab) Plykin, Romen Vasil’evich Co-Author Distance Author ID: plykin.romen-vasilevich Published as: Plykin, R. V. Documents Indexed: 31 Publications since 1963 Biographic References: 1 Publication Co-Authors: 15 Co-Authors with 11 Joint Publications 346 Co-Co-Authors all top 5 Co-Authors 20 single-authored 6 Zhirov, Aleksei Yu. 3 Aranson, Samuil Khaĭmovich 3 Grines, Vyacheslav Zigmundovich 3 Sataev, Evgueni A. 3 Stëpin, Anatoliĭ Mikhaĭlovich 2 Anosov, Dmitriĭ Viktorovich 2 Kamaev, Dmitriĭ Al’fredovich 2 Klinshpont, N. È. 2 Safonov, A. V. 2 Shlyachkov, Sergej V. 2 Solodov, V. V. 2 Starkov, A. N. 1 Dektyarev, I. M. 1 Kochergin, Andrey V. 1 Zhuzhoma, Evgeniĭ Viktorovich all top 5 Serials 6 Russian Mathematical Surveys 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Doklady Akademii Nauk UzSSR 2 Mathematics of the USSR, Sbornik 1 Mathematical Notes 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Soviet Mathematics. Doklady 1 Topology and its Applications 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Chebyshevskiĭ Sbornik all top 5 Fields 25 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 173 times in 114 Documents Cited by ▼ Year ▼ On the geometry of hyperbolic attractors of smooth cascades. Zbl 0584.58038 Plykin, R. V. 51 1984 Sources and sinks of A-diffeomorphisms of surfaces. Zbl 0324.58013 Plykin, R. V. 43 1975 The topology of basis sets for Smale diffeomorphisms. Zbl 0238.58011 Plykin, R. V. 28 1971 On the relationship between one-dimensional hyperbolic attractors of surface diffeomorphisms and generalized pseudo-Anosov diffeomorphisms. Zbl 0854.58030 Zhirov, A. Yu.; Plykin, R. V. 10 1995 The structure of the centralizers of Anosov diffeomorphisms of the torus. Zbl 0941.37015 Plykin, R. V. 8 1998 Dynamical systems with hyperbolic behavior. Zbl 0809.58029 Anosov, D. V.; Aranson, S. Kh.; Grines, V. Z.; Plykin, R. V.; Sataev, E. A.; Safonov, A. V.; Solodov, V. V.; Starkov, A. N.; Stepin, A. M.; Shlyachkov, S. V. 8 1991 Hyperbolic attractors of diffeomorphisms. Zbl 0459.58011 Plykin, R. V. 6 1980 Dynamical systems IX. Zbl 0826.58024 Anosov, D. V.; Aranson, S. Kh.; Grines, V. Z.; Plykin, R. V.; Sataev, E. A.; Safonov, A. V.; Solodov, V. V.; Starkov, A. N.; Stepin, A. M.; Shlyachkov, S. V. 5 1991 Exact upper bounds for the number of one-dimensional basic sets of surface \(A\)-diffeomorphisms. Zbl 0995.37015 Aranson, S. Kh.; Plykin, R. V.; Zhirov, A. Yu.; Zhuzhoma, E. V. 4 1997 Topological classification of amply situated attractors of \(A\)-diffeomorphisms of surfaces. Zbl 1193.37026 Grines, V. Z.; Plykin, R. V. 4 2000 On hyperbolic attractors of diffeomorphisms. (The non-orientable case). Zbl 0465.58017 Plykin, R. V. 3 1980 Some problems of attractors of dynamical systems. (With an appendix written by N. E. Klinshpont). Zbl 0847.54039 Plykin, R. V.; Zhirov, A. Yu. 1 1993 Über die Topologie der Basismengen Smalescher Diffeomorphismen. Zbl 0211.56301 Plykin, R. V. 1 1971 Strange attractors. Topologic, geometric and algebraic aspects. Zbl 1228.37028 Plykin, R. V.; Klinshpont, N. E. 1 2010 Strange attractors. Topologic, geometric and algebraic aspects. Zbl 1228.37028 Plykin, R. V.; Klinshpont, N. E. 1 2010 Topological classification of amply situated attractors of \(A\)-diffeomorphisms of surfaces. Zbl 1193.37026 Grines, V. Z.; Plykin, R. V. 4 2000 The structure of the centralizers of Anosov diffeomorphisms of the torus. Zbl 0941.37015 Plykin, R. V. 8 1998 Exact upper bounds for the number of one-dimensional basic sets of surface \(A\)-diffeomorphisms. Zbl 0995.37015 Aranson, S. Kh.; Plykin, R. V.; Zhirov, A. Yu.; Zhuzhoma, E. V. 4 1997 On the relationship between one-dimensional hyperbolic attractors of surface diffeomorphisms and generalized pseudo-Anosov diffeomorphisms. Zbl 0854.58030 Zhirov, A. Yu.; Plykin, R. V. 10 1995 Some problems of attractors of dynamical systems. (With an appendix written by N. E. Klinshpont). Zbl 0847.54039 Plykin, R. V.; Zhirov, A. Yu. 1 1993 Dynamical systems with hyperbolic behavior. Zbl 0809.58029 Anosov, D. V.; Aranson, S. Kh.; Grines, V. Z.; Plykin, R. V.; Sataev, E. A.; Safonov, A. V.; Solodov, V. V.; Starkov, A. N.; Stepin, A. M.; Shlyachkov, S. V. 8 1991 Dynamical systems IX. Zbl 0826.58024 Anosov, D. V.; Aranson, S. Kh.; Grines, V. Z.; Plykin, R. V.; Sataev, E. A.; Safonov, A. V.; Solodov, V. V.; Starkov, A. N.; Stepin, A. M.; Shlyachkov, S. V. 5 1991 On the geometry of hyperbolic attractors of smooth cascades. Zbl 0584.58038 Plykin, R. V. 51 1984 Hyperbolic attractors of diffeomorphisms. Zbl 0459.58011 Plykin, R. V. 6 1980 On hyperbolic attractors of diffeomorphisms. (The non-orientable case). Zbl 0465.58017 Plykin, R. V. 3 1980 Sources and sinks of A-diffeomorphisms of surfaces. Zbl 0324.58013 Plykin, R. V. 43 1975 The topology of basis sets for Smale diffeomorphisms. Zbl 0238.58011 Plykin, R. V. 28 1971 Über die Topologie der Basismengen Smalescher Diffeomorphismen. Zbl 0211.56301 Plykin, R. V. 1 1971 all cited Publications top 5 cited Publications all top 5 Cited by 94 Authors 30 Grines, Vyacheslav Zigmundovich 14 Pochinka, Ol’ga Vital’evna 13 Zhuzhoma, Evgeniĭ Viktorovich 11 Kuznetsov, Sergey P. 9 Medvedev, Vladislav Sergeevich 8 Kato, Hisao 5 Glyzin, Sergeĭ Dmitrievich 5 Kolesov, Andreĭ Yur’evich 4 Barinova, Marina Konstantinovna 4 Efremova, Lyudmila S. 4 Kurenkov, Evgeniĭ Dmitrievich 4 Mints, Dmitriĭ Il’ich 4 Mouron, Christopher G. 4 Rozov, Nikolaĭ Khristovich 4 Zhirov, Aleksei Yu. 3 Aranson, Samuil Khaĭmovich 3 Belykh, Vladimir Nikitich 3 Plykin, Romen Vasil’evich 3 Varandas, Paulo 2 Angeli, David 2 Isaeva, Ol’ga Borisovna 2 Kruglov, Evgeniĭ Valentinovich 2 Kruglov, Vyacheslav Pavlovich 2 Morales Rojas, Carlos Arnoldo 2 Morozov, Andreĭ Igorevich 2 Nikolaev, Igor Vasilievich 2 Pikovsky, Arkady S. 2 Rocha, Jorge 2 Sataev, Igor’ Rustamovich 2 Ures, Raúl 2 Viana, Marcelo 2 Yang, Jiagang 1 Barabash, Nikita V. 1 Belykh, Igor V. 1 Bonomo, Wescley 1 Boroński, Jan P. 1 Bronshteĭn, Idel Usherovich 1 Brown, Aaron W. 1 Cascon, Ana 1 Chilina, Ekaterina Evgen’evna 1 Činč, Jernej 1 Cushing, Jim Michael 1 Eckmann, Jean-Pierre 1 Elaydi, Saber Nasr 1 Fedotov, A. G. 1 Fiedler, Bernold 1 Gambaudo, Jean-Marc 1 Gardini, Laura 1 Grechko, Dina A. 1 Guckenheimer, John M. 1 Härterich, Jörg M. 1 Hirsch, Morris W. 1 Isaenkova, Natal’ya Viktorovna 1 Johnson, Russell Allan 1 Kainov, M. 1 Kan, Ittai 1 Kim, Seunghwan 1 Klinshpont, N. È. 1 Lee, Keonhee 1 Leguil, Martin 1 Levchenko, Yu 1 Levchenko, Yulia A. 1 Liu, Xiaochuan 1 Lozi, René 1 MacKay, Robert Sinclair 1 Mendoza, Valentín 1 Misiurewicz, Michał 1 Mora, Leonardo 1 Morozov, Andreĭ Igorevich 1 Mosekilde, Erik 1 Naudot, Vincent 1 Obata, Davi 1 Pacifico, Maria José 1 Rodriguez Hertz, Jana 1 Rogers, James Ted jun. 1 Sakbaev, Vsevolod Zhanovich 1 Santiago, Bruno 1 Savin, Dmitriĭ Vladimirovich 1 Schöll, Eckehard 1 Sedova, Yuliya Viktorovna 1 Seleznev, Eugene P. 1 Snoha, Ľubomír 1 Sontag, Eduardo D. 1 Špitalský, Vladimír 1 Strelkova, Galina Ivanova 1 Takács, Michal 1 Takens, Floris 1 Tresser, Charles 1 Turaev, Dmitry V. 1 Vieitez, José L. 1 Yakovlev, Evgeniĭ Ivanovich 1 Yu, Bin 1 Zhudzhoma, Evgeniĭ Viktorovich 1 Zhuzhoma, Ye. V. all top 5 Cited in 45 Serials 10 Mathematical Notes 8 Topology and its Applications 8 Regular and Chaotic Dynamics 7 Journal of Mathematical Sciences (New York) 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Ergodic Theory and Dynamical Systems 5 Journal of Difference Equations and Applications 5 Chaos 3 Journal of Differential Equations 3 Proceedings of the American Mathematical Society 3 Lobachevskii Journal of Mathematics 3 Differential Equations 3 Russian Journal of Nonlinear Dynamics 2 Nonlinearity 2 Theoretical and Mathematical Physics 2 Fundamenta Mathematicae 2 Transactions of the American Mathematical Society 2 Physica D 2 Sbornik: Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Dynamical and Control Systems 2 Proceedings of the Steklov Institute of Mathematics 2 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Communications in Mathematical Physics 1 Reviews of Modern Physics 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Complexity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Nelineĭnaya Dinamika 1 Applied Mathematics and Nonlinear Sciences all top 5 Cited in 15 Fields 103 Dynamical systems and ergodic theory (37-XX) 12 General topology (54-XX) 9 Ordinary differential equations (34-XX) 8 Manifolds and cell complexes (57-XX) 3 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year