Edit Profile (opens in new tab) Bykov, V. V. Co-Author Distance Author ID: bykov.v-v Published as: Bykov, V. V. Documents Indexed: 23 Publications since 1960 Co-Authors: 3 Co-Authors with 5 Joint Publications 138 Co-Co-Authors all top 5 Co-Authors 11 single-authored 3 Afraimovich, Valentin S. 3 Shilnikov, Leonid Pavlovich 2 Koksharov, A. 2 Shilnikov, Andrey L. 1 Dement’ev, Oleg Nikolaevich 1 Kiverin, Alexey D. 1 Kurbatkin, Gennadii Pavlovich 1 Malajchuk, V. P. 1 Tupikin, N. I. 1 Yakovenko, Ivan S. all top 5 Serials 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Sciences (New York) 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Chaos, Solitons and Fractals 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Selecta Mathematica Sovietica 1 Physica D 1 Automation and Remote Control 1 Soviet Physics. Doklady 1 Izvestiya: Mathematics 1 The Korean Journal of Computational & Applied Mathematics 1 Mathematical Modelling of Natural Phenomena all top 5 Fields 14 Dynamical systems and ergodic theory (37-XX) 8 Ordinary differential equations (34-XX) 3 Fluid mechanics (76-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 175 times in 129 Documents Cited by ▼ Year ▼ On the origin and structure of the Lorenz attractor. Zbl 0451.76052 Afrajmovich, V. S.; Bykov, V. V.; Shil’nikov, L. P. 61 1977 On attracting structurally unstable limit sets of Lorenz attractor type. Zbl 0506.58023 Afrajmovich, V. S.; Bykov, V. V.; Shil’nikov, L. P. 54 1982 The bifurcations of separatrix contours and chaos. Zbl 0799.58054 Bykov, V. V. 51 1993 On structurally unstable attracting limit sets of Lorenz attractor type. Zbl 0527.58024 Afrajmovich, V. S.; Bykov, V. V.; Shil’nikov, L. P. 34 1983 Orbit structure in a neighborhood of a separatrix cycle containing two saddle-foci. Zbl 1026.37043 Bykov, V. V. 28 2000 On the boundaries of the domain of existence of the Lorenz attractor. Zbl 0789.58052 Bykov, V. V.; Shil’nikov, A. L. 14 1989 On systems with separatrix contour containing two saddle-foci. Zbl 1160.37377 Bykov, V. V. 13 1999 On boundaries of the existence domain for the Lorenz attractor. Zbl 0803.34049 Bykov, V. V.; Shil’nikov, A. L. 12 1989 Bifurcations for heteroclinic orbits of a periodic motion and a saddle-focus and dynamical chaos. Zbl 0934.37037 Belykh, V. N.; Bykov, V. V. 5 1998 On the structure of the neighborhood of a separatrix contour with a saddle-focus. Zbl 0455.34019 Bykov, V. V. 4 1978 On bifurcations leading to chaos in Chua’s circuit. Zbl 1109.37304 Bykov, V. V. 3 1998 Über die Erzeugung periodischer Bewegungen aus der Separatrixkontur eines dreidimensionalen Systems. Zbl 0376.34026 Bykov, V. V. 3 1977 Complete description of the Lyapunov spectra of continuous families of linear differential systems with unbounded coefficients. Zbl 1506.34070 Bykov, V. V. 1 2020 Local Baire classification of Lyapunov exponents. Zbl 1511.34063 Bykov, V. V. 1 2007 Complete description of the Lyapunov spectra of continuous families of linear differential systems with unbounded coefficients. Zbl 1506.34070 Bykov, V. V. 1 2020 Local Baire classification of Lyapunov exponents. Zbl 1511.34063 Bykov, V. V. 1 2007 Orbit structure in a neighborhood of a separatrix cycle containing two saddle-foci. Zbl 1026.37043 Bykov, V. V. 28 2000 On systems with separatrix contour containing two saddle-foci. Zbl 1160.37377 Bykov, V. V. 13 1999 Bifurcations for heteroclinic orbits of a periodic motion and a saddle-focus and dynamical chaos. Zbl 0934.37037 Belykh, V. N.; Bykov, V. V. 5 1998 On bifurcations leading to chaos in Chua’s circuit. Zbl 1109.37304 Bykov, V. V. 3 1998 The bifurcations of separatrix contours and chaos. Zbl 0799.58054 Bykov, V. V. 51 1993 On the boundaries of the domain of existence of the Lorenz attractor. Zbl 0789.58052 Bykov, V. V.; Shil’nikov, A. L. 14 1989 On boundaries of the existence domain for the Lorenz attractor. Zbl 0803.34049 Bykov, V. V.; Shil’nikov, A. L. 12 1989 On structurally unstable attracting limit sets of Lorenz attractor type. Zbl 0527.58024 Afrajmovich, V. S.; Bykov, V. V.; Shil’nikov, L. P. 34 1983 On attracting structurally unstable limit sets of Lorenz attractor type. Zbl 0506.58023 Afrajmovich, V. S.; Bykov, V. V.; Shil’nikov, L. P. 54 1982 On the structure of the neighborhood of a separatrix contour with a saddle-focus. Zbl 0455.34019 Bykov, V. V. 4 1978 On the origin and structure of the Lorenz attractor. Zbl 0451.76052 Afrajmovich, V. S.; Bykov, V. V.; Shil’nikov, L. P. 61 1977 Über die Erzeugung periodischer Bewegungen aus der Separatrixkontur eines dreidimensionalen Systems. Zbl 0376.34026 Bykov, V. V. 3 1977 all cited Publications top 5 cited Publications all top 5 Cited by 157 Authors 12 Gonchenko, Sergeĭ Vladimirovich 12 Turaev, Dmitry V. 10 Kazakov, Alexey O. 9 Morales Rojas, Carlos Arnoldo 8 Gonchenko, Aleksandr Sergeevich 6 Shilnikov, Andrey L. 4 Barrio, Roberto 4 Shilnikov, Leonid Pavlovich 3 Anishchenko, Vadim Semenovich 3 Arbieto, Alexander 3 Belykh, Vladimir Nikolaevich 3 Carrasco-Olivera, Dante 3 Kruglov, Vyacheslav Pavlovich 3 Kuznetsov, Sergey P. 3 Li, Dongchen 3 Samylina, Evgeniya Aleksandrovna 3 San Martín Rebolledo, Bernardo 3 Sataev, Igor’ Rustamovich 3 Serrano, Sergio E. 3 Strelkova, Galina Ivanova 3 Zaks, Michael A. 2 Afanas’ev, Aleksandr Petrovich 2 Anastassiou, Stavros 2 Baik, Jong-Jin 2 Barabash, Nikita V. 2 Dzyuba, Sergeĭ Mikhaĭlovich 2 Homburg, Ale Jan 2 Karatetskaia, Efrosiniia 2 Klinshpont, N. È. 2 Kozlov, A. D. 2 Krauskopf, Bernd 2 Labarca, Rafael 2 Lerman, Lev 2 Malkin, Mikhail Iosifovich 2 Mira, Christian 2 Moon, Sungju 2 Neiman, Alexander B. 2 Oprocha, Piotr 2 Osinga, Hinke Maria 2 Ovsyannikov, Ivan I. 2 Plykin, Romen Vasil’evich 2 Pusuluri, Krishna 2 Safonov, Klim A. 2 Scully, James J. 2 Wilczak, Daniel 2 Yorke, James Alan 2 Zgliczyński, Piotr 1 Afraimovich, Valentin S. 1 Anušić, Ana 1 Aranzubía, Solange 1 Barragán, Andrés M. López 1 Belykh, Igor V. 1 Beskos, Alexandros 1 Bonatti, Christian 1 Bruin, Henk 1 Capinski, Maciej J. 1 Challenor, Peter G. 1 Cholewa, Łukasz 1 Chow, Shui-Nee 1 Činč, Jernej 1 Creaser, Jennifer L. 1 Crisan, Dan O. 1 Cushing, Jim Michael 1 Dawes, Jonathan H. P. 1 De Leo, Roberto 1 Dena, Ángeles 1 Deng, Bo 1 Efremova, Lyudmila S. 1 Eilertsen, Justin S. 1 Elaydi, Saber Nasr 1 Erofeev, Vladimir I. 1 Feĭgin, M. I. 1 Feng, Guo 1 Galias, Zbigniew 1 Gardini, Laura 1 Glendinning, Paul Alexander 1 Gonchenko, Marina S. 1 Goodfellow, Marc 1 Grechko, Dina A. 1 Guo, Siyu 1 Han, Beom-Soon 1 Hart, Allen G. 1 Hinsley, Carter 1 Hittmeyer, Stefanie 1 Hong, Seong-Ho 1 Hook, James L. 1 Ibrahim, Rabha Waell 1 Jasra, Ajay 1 Kainov, M. 1 Khanh, Nguyen Huu 1 Kokubu, Hiroshi 1 Kolesov, Andreĭ Yur’evich 1 Kopeikin, Andrey S. 1 Korotkov, Aleksandr Gennad’evich 1 Kudryashova, Elena Vladimirovna 1 Kuptsov, Pavel Vladimirovich 1 Kurths, Jürgen 1 Kuznetsov, Nikolay Vladimirovich 1 Kuznetsova, Olga Aleksandrovna 1 Labouriau, Isabel S. ...and 57 more Authors all top 5 Cited in 56 Serials 16 Physica D 15 Chaos 6 Nonlinearity 5 Journal of Difference Equations and Applications 5 Regular and Chaotic Dynamics 4 Discrete and Continuous Dynamical Systems 4 Lobachevskii Journal of Mathematics 3 Computers & Mathematics with Applications 3 Journal of the Franklin Institute 3 Physics Letters. A 3 Journal of Differential Equations 3 Journal of Dynamics and Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Applied Mathematics and Mechanics 2 Physica A 2 Theoretical and Mathematical Physics 2 Advances in Mathematics 2 Proceedings of the American Mathematical Society 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Nonlinear Dynamics 2 Journal of Dynamical and Control Systems 2 SIAM Journal on Applied Dynamical Systems 2 Applied Mathematics and Nonlinear Sciences 1 Advances in Applied Probability 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Topology and its Applications 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Computational Statistics and Data Analysis 1 Acta Mathematica Sinica. New Series 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Russian Mathematics 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Abstract and Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Applied Nonlinear Dynamics 1 Discontinuity, Nonlinearity, and Complexity all top 5 Cited in 18 Fields 122 Dynamical systems and ergodic theory (37-XX) 32 Ordinary differential equations (34-XX) 9 Mechanics of particles and systems (70-XX) 7 Difference and functional equations (39-XX) 6 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 General topology (54-XX) 3 Systems theory; control (93-XX) 2 Partial differential equations (35-XX) 2 Manifolds and cell complexes (57-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year