Edit Profile (opens in new tab) Sergeev, Igor’ Nikolaevich Compute Distance To: Compute Author ID: sergeev.igor-nikolaevich Published as: Sergeev, I. N.; Sergeev, Igor’ Nikolaevich; Sergeev, Igor N. Documents Indexed: 64 Publications since 1977 1 Contribution as Editor Co-Authors: 63 Co-Authors with 11 Joint Publications 2,442 Co-Co-Authors all top 5 Co-Authors 53 single-authored 6 Rozov, Nikolaĭ Khristovich 5 Kozlov, Valeriĭ Vasil’evich 4 Izobov, Nikolaĭ Alekseevich 3 Chechkin, Gregory Aleksandrovich 3 Gaĭshun, Ivan Vasil’vich 3 Kon’kov, Andrej A. 3 Radkevich, Evgeniĭ Vladimirovich 3 Shaposhnikova, Tatiana A. 2 Anosov, Dmitriĭ Viktorovich 2 Astashova, Irina Viktorovna 2 Il’in, Vladimir Aleksandrovich 2 Ilyashenko, Yulij Sergeevich 2 Kiguradze, Ivan Tarielovich 2 Kondrat’ev, Vladimir Aleksandrovich 2 Kudryavtsev, Lev Dmitrievich 2 Martynyuk, Anatoliĭ Andriĭovych 2 Mishchenko, Evgeniĭ Frolovich 2 Morozov, Oleg I. 2 Osinnikova, G. V. 2 Pliss, Viktor Aleksandrovich 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Shamaev, Alexei S. 2 Shemyakina, Tamara Kuz’minichna 2 Vladimirov, Vasiliĭ Sergeevich 1 Agranovich, Mikhail Semënovich 1 Alkhutov, Yuriy Alexandrovich 1 Bagirov, Lev A. 1 Borovskikh, A. V. 1 Butuzov, Valentin Fëdorovich 1 Bykov, Vladimir Vladislavovich 1 Chentsov, Aleksandr Georgievich 1 Chubarikov, Vladimir Nikolaevich 1 Derr, Vasiliĭ Yakovlevich 1 Filimonova, I. V. 1 Filinovskiĭ, Alexeĭ Vladislavovich 1 Goritskiĭ, Andreĭ Yur’evich 1 Gryzlov, Anatoliĭ Aleksandrovich 1 Kapustina, T. O. 1 Karpov, Aleksandr Ivanovich 1 Kashezhev, A. Z. 1 Kumykov, V. K. 1 Makarov, Evgeniĭ Konstantinovich 1 Manukyants, A. R. 1 Matrosov, I. V. 1 Merzlyakova, G. V. 1 Mikhalëv, Aleksandr Vasil’evich 1 Moiseev, Evgeniĭ Ivanovich 1 Palin, Vladimir Vladimirovich 1 Petrov, Nikolaĭ Nikandrovich 1 Pokhozhaev, Stanislav I. 1 Popova, Svetlana Nikolaevna 1 Rozanova, Olga S. 1 Sadovnichiĭ, Viktor Antonovich 1 Shkalikov, Andreĭ Andreevich 1 Skubachevskiĭ, Aleksandr Leonidovich 1 Sozaev, V. A. 1 Surnachëv, Mikhaĭl Dmitrievich 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Tolstonogov, Aleksandr Aleksandrovich 1 Ushakov, Vladimir Nikolaevich 1 Vetokhin, Alexandr N. 1 Vlasov, Viktor Valentinovich 1 Yukna, Stasys P. 1 Zhikov, Vasiliĭ Vasil’evich all top 5 Serials 11 Differential Equations 10 Moscow University Mathematics Bulletin 10 Journal of Mathematical Sciences (New York) 6 Trudy Seminara Imeni I. G. Petrovskogo 5 Journal of Soviet Mathematics 4 Differentsial’nye Uravneniya 4 Differential Equations 3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Mathematical Notes 1 Russian Mathematics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Trudy Instituta Matematiki 1 Bulletin of the Russian Academy of Sciences: Physics 1 Foundations and Trends in Theoretical Computer Science 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki all top 5 Fields 55 Ordinary differential equations (34-XX) 6 History and biography (01-XX) 4 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 95 times in 52 Documents Cited by ▼ Year ▼ On the theory of Lyapunov exponents for linear systems of differential equations. Zbl 0539.34039Sergeev, I. N. 15 1983 Definition and properties of characteristic frequencies of a linear equation. Zbl 1123.34029Sergeev, I. N. 12 2006 Oscillation and wandering characteristics of solutions of a linear differential system. Zbl 1248.34037Sergeev, I. N. 7 2012 The complete set of relations between the oscillation, rotation and wandering indicators of solutions of differential systems. Zbl 1342.34024Sergeev, I. N. 5 2015 Complexity of linear Boolean operators. Zbl 1280.68004Jukna, Stasys; Sergeev, Igor 5 2013 The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems. Zbl 1278.34034Sergeev, Igor N. 5 2013 Definition and some properties of Perron stability. Zbl 1423.34072Sergeev, I. N. 4 2019 Turnability characteristics of solutions of differential systems. Zbl 1310.34071Sergeev, I. N. 3 2014 Controlling solutions to a linear differential equation. Zbl 1304.34021Sergeev, I. N. 3 2009 Sharp bounds of mobility of Lyapunov exponents for linear Hamiltonian systems in case of small (on the average) perturbations. Zbl 0689.34049Sergeev, I. N. 3 1989 Genaue obere Schranken für die Beweglichkeit des Lyapunovschen Exponenten eines Differentialgleichungssystems und das Verhalten des Exponenten bei Störungen, die im Unendlichen gegen Null streben. Zbl 0459.34031Sergeev, I. N. 3 1980 Oscillation, rotation, and wandering of solutions to linear differential systems. Zbl 1393.34025Sergeev, I. N. 2 2018 A contribution to the theory of Lyapunov exponents for linear systems of differential equations. Zbl 0609.34053Sergeev, I. N. 2 1986 Destabilizability of linear Hamiltonian systems. Zbl 0609.34055Morozov, O. I.; Sergeev, I. N. 2 1986 Oscillation, rotation, and wandering exponents of solutions of differential systems. Zbl 1359.34018Sergeev, I. N. 2 2016 Oscillation and wandering of solutions to a second order differential equation. Zbl 1304.34066Sergeev, I. N. 2 2011 Perron stability and its study at the first approximation. Zbl 1443.34053Sergeev, I. N. 2 2019 On the unattainability of the central exponents in the class of regular systems. Zbl 0641.34050Osinnikova, G. V.; Sergeev, I. N. 2 1987 Dependence and independence of the Perron and Lyapunov stability properties on the system phase domain. Zbl 1440.93196Sergeev, I. N. 2 2019 Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems. Zbl 1408.34012Sergeev, I. N. 1 2018 On simplified formulas for the central exponents of differential systems with non-uniform scales. Zbl 1406.34037Sergeev, I. N. 1 2018 Exact bounds for the mobility of Lyapunov indices of linear systems in the case of small (on the average) perturbations. Zbl 0619.34049Sergeev, I. N. 1 1986 Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane. Zbl 1422.34086Sergeev, I. N. 1 2019 The Lyapunov exponents of regular systems in case of small (on the average) perturbations. Zbl 0664.34057Sergeev, I. N. 1 1988 Über die Existenz einer Lösung mit geringem Wachstum für bireguläre Differentialsysteme mit Zufallsstörung. Zbl 0386.34052Sergeev, I. N. 1 1977 Imaginary exponents of a linear equation. Zbl 1317.34129Sergeev, I. N. 1 2014 Generic values of generalized wandering exponents of autonomous systems. Zbl 1317.34130Sergeev, I. N. 1 2014 Sharp bounds on mobility of the Lyapunov exponents of linear Hamiltonian systems under small average perturbations. Zbl 0703.34058Sergeev, I. N. 1 1990 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A. 1 2013 Destabilization of linear Hamiltonian systems. Zbl 0653.34042Morozov, O. I.; Sergeev, I. N. 1 1986 Properties of characteristic frequencies of linear equations of arbitrary order. Zbl 1304.34020Sergeev, I. N. 1 2014 Study of the linear dependence of scalar-valued functions using the Wronskian determinant. Zbl 1298.26017Sergeev, I. N. 1 2010 Plane rotability exponents of a linear system of differential equations. Zbl 1437.34018Sergeev, I. N. 1 2020 Plane rotability exponents of a linear system of differential equations. Zbl 1437.34018Sergeev, I. N. 1 2020 Definition and some properties of Perron stability. Zbl 1423.34072Sergeev, I. N. 4 2019 Perron stability and its study at the first approximation. Zbl 1443.34053Sergeev, I. N. 2 2019 Dependence and independence of the Perron and Lyapunov stability properties on the system phase domain. Zbl 1440.93196Sergeev, I. N. 2 2019 Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane. Zbl 1422.34086Sergeev, I. N. 1 2019 Oscillation, rotation, and wandering of solutions to linear differential systems. Zbl 1393.34025Sergeev, I. N. 2 2018 Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems. Zbl 1408.34012Sergeev, I. N. 1 2018 On simplified formulas for the central exponents of differential systems with non-uniform scales. Zbl 1406.34037Sergeev, I. N. 1 2018 Oscillation, rotation, and wandering exponents of solutions of differential systems. Zbl 1359.34018Sergeev, I. N. 2 2016 The complete set of relations between the oscillation, rotation and wandering indicators of solutions of differential systems. Zbl 1342.34024Sergeev, I. N. 5 2015 Turnability characteristics of solutions of differential systems. Zbl 1310.34071Sergeev, I. N. 3 2014 Imaginary exponents of a linear equation. Zbl 1317.34129Sergeev, I. N. 1 2014 Generic values of generalized wandering exponents of autonomous systems. Zbl 1317.34130Sergeev, I. N. 1 2014 Properties of characteristic frequencies of linear equations of arbitrary order. Zbl 1304.34020Sergeev, I. N. 1 2014 Complexity of linear Boolean operators. Zbl 1280.68004Jukna, Stasys; Sergeev, Igor 5 2013 The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems. Zbl 1278.34034Sergeev, Igor N. 5 2013 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A. 1 2013 Oscillation and wandering characteristics of solutions of a linear differential system. Zbl 1248.34037Sergeev, I. N. 7 2012 Oscillation and wandering of solutions to a second order differential equation. Zbl 1304.34066Sergeev, I. N. 2 2011 Study of the linear dependence of scalar-valued functions using the Wronskian determinant. Zbl 1298.26017Sergeev, I. N. 1 2010 Controlling solutions to a linear differential equation. Zbl 1304.34021Sergeev, I. N. 3 2009 Definition and properties of characteristic frequencies of a linear equation. Zbl 1123.34029Sergeev, I. N. 12 2006 Sharp bounds on mobility of the Lyapunov exponents of linear Hamiltonian systems under small average perturbations. Zbl 0703.34058Sergeev, I. N. 1 1990 Sharp bounds of mobility of Lyapunov exponents for linear Hamiltonian systems in case of small (on the average) perturbations. Zbl 0689.34049Sergeev, I. N. 3 1989 The Lyapunov exponents of regular systems in case of small (on the average) perturbations. Zbl 0664.34057Sergeev, I. N. 1 1988 On the unattainability of the central exponents in the class of regular systems. Zbl 0641.34050Osinnikova, G. V.; Sergeev, I. N. 2 1987 A contribution to the theory of Lyapunov exponents for linear systems of differential equations. Zbl 0609.34053Sergeev, I. N. 2 1986 Destabilizability of linear Hamiltonian systems. Zbl 0609.34055Morozov, O. I.; Sergeev, I. N. 2 1986 Exact bounds for the mobility of Lyapunov indices of linear systems in the case of small (on the average) perturbations. Zbl 0619.34049Sergeev, I. N. 1 1986 Destabilization of linear Hamiltonian systems. Zbl 0653.34042Morozov, O. I.; Sergeev, I. N. 1 1986 On the theory of Lyapunov exponents for linear systems of differential equations. Zbl 0539.34039Sergeev, I. N. 15 1983 Genaue obere Schranken für die Beweglichkeit des Lyapunovschen Exponenten eines Differentialgleichungssystems und das Verhalten des Exponenten bei Störungen, die im Unendlichen gegen Null streben. Zbl 0459.34031Sergeev, I. N. 3 1980 Über die Existenz einer Lösung mit geringem Wachstum für bireguläre Differentialsysteme mit Zufallsstörung. Zbl 0386.34052Sergeev, I. N. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 26 Authors 18 Sergeev, Igor’ Nikolaevich 6 Salova, T. V. 4 Vetokhin, Alexandr N. 3 Bykov, Vladimir Vladislavovich 3 Stash, Aĭdamir Khazretovich 2 Astashova, Irina Viktorovna 2 Barabanov, E. A. 2 Bondarev, A. A. 2 Makarov, Evgeniĭ Konstantinovich 1 Akhrem, A. A. 1 Bekryaeva, E. V. 1 Burlakov, D. S. 1 Erchenko, A. A. 1 Gruia, Alexandra Teodora 1 Herzog, Gerd 1 Korolev, A. N. 1 Makarov, Igor’ Mikhailovich 1 Mic, Ani Aurora 1 Mic, Felix Aurel 1 Moatăr-Moleriu, Lavinia Cristina 1 Moleriu, Radu Dumitru 1 Niparko, N. S. 1 Rakhmankulov, V. Z. 1 Shishlyannikov, Evgeniĭ M. 1 Voidelevich, A. S. 1 Zaharie, Daniela all top 5 Cited in 13 Serials 17 Differential Equations 15 Moscow University Mathematics Bulletin 8 Journal of Mathematical Sciences (New York) 2 Journal of Soviet Mathematics 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Mathematical Notes 1 Proceedings of the American Mathematical Society 1 Computational Mathematics and Modeling 1 Russian Mathematics 1 Sbornik: Mathematics 1 Trudy Instituta Matematiki 1 Boundary Value Problems 1 Journal of Theoretical Biology Cited in 5 Fields 49 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Citations by Year