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Bibikov, Yuriĭ Nikolaevich

Author ID: bibikov.yurii-nikolaevich Recent zbMATH articles by "Bibikov, Yuriĭ Nikolaevich"
Published as: Bibikov, Yu. N.; Bibikov, Y. N.; Bibikov, Yuri N.; Bibikov, Yuliĭ Nikolaevich; Bibikov, Yuriĭ Nikolaevich; Bibikov, Y.
External Links: ORCID · Math-Net.Ru
Documents Indexed: 78 Publications since 1961, including 3 Books
1 Contribution as Editor
Reviewing Activity: 90 Reviews
Co-Authors: 66 Co-Authors with 28 Joint Publications
2,166 Co-Co-Authors
all top 5

Co-Authors

51 single-authored
6 Bukaty, Veronika Romual’dovna
6 Pliss, Viktor Aleksandrovich
4 Basov, Vladimir Vladmirovich
3 Churin, Yuriĭ Vasil’evich
3 Il’in, Vladimir Aleksandrovich
3 Savel’eva, A. G.
2 Adrianova, Lyudmila Yakovlevna
2 Andreev, Alekseĭ Fedorovich
2 Izobov, Nikolaĭ Alekseevich
2 Kurzhanskiĭ, Aleksandr Borisovich
2 Mazanik, Sergeĭ Alekseevich
2
2 Pilyugin, Sergeĭ Yur’evich
2 Rozov, Nikolaĭ Khristovich
2 Trushina, N. V.
1 Ampilova, Natal’ya Borisovna
1 Anitova, E. S.
1 Anosov, Dmitriĭ Viktorovich
1 Arutyunov, Aram Vladimirovic
1 Astashova, Irina Viktorovna
1 Begun, Nikita Andreevich
1 Bodunov, Nikolai A.
1 Borevich, Zenon Ivanovich
1 Cherkas, Leonid A.
1 Dorodenkov, A. A.
1 Emel’yanov, Stanislav Vasil’evich
1 Fusco, Giorgio
1 Gaĭshun, Ivan Vasil’evich
1 Ivanov, Boris Filippovich
1 Ivanov, Oleg A.
1 Kiguradze, Ivan Tarielovich
1 Kiguradze, V. T.
1 Kondrat’ev, Vladimir Aleksandrovich
1 Korovin, Sergeĭ Konstantinovich
1 Krasovskii, S. G.
1 Krasovskiĭ, Nikolaĭ Nikolaevich
1 Kudryavtsev, Lev Dmitrievich
1 Kuznetsov, Nikolay Vladimirovich
1 Lestev, A. M.
1 Lëzina, T. A.
1 Makarov, Evgeniĭ Konstantinovich
1 Martynyuk, Anatoliĭ Andriĭovych
1 Mishchenko, Evgeniĭ Frolovich
1 Moiseev, Evgeniĭ Ivanovich
1 Morozov, Nikita Fedorovich
1 Orlov, A. K.
1 Osipenko, Georgii Sergeevich
1 Osipov, Aleksey V.
1 Osipov, Yuriĭ Sergeevich
1 Petrov, Nikolaĭ Nikandrovich
1 Petrov, Nikolai Nikolaevich
1 Pirogov, M. V.
1 Polyakov, N. N.
1 Razov, A. I.
1 Rodionova, Anastasia Aleksandrovna
1 Romanovskiĭ, Valeriĭ Georgievich
1 Ruíz, A. I.
1 Sadovnichiĭ, Viktor Antonovich
1 Samoĭlenko, Anatoliĭ Mykhaĭlovych
1 Sanovskij, K. D.
1 Sëderbakka, G.
1 Shemyakina, Tamara Kuz’minichna
1 Tovstik, Pëtr Evgen’evich
1 Tret’yakov, V. E.
1 Vasil’ev, Fedor Pavlovich
1 Yushkov, Mikhail Petrovich
1 Zvyagintseva, Tat’yana Evgen’evna

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 209 times in 183 Documents Cited by Year
Local theory of nonlinear analytic ordinary differential equations. Zbl 0404.34005
Bibikov, Yuri N.
72
1979
Multifrequency nonlinear oscillations and their bifurcations. (Mnogochastotnye nelinejnye kolebaniya i ikh bifurkatsii.) Zbl 0791.34032
Bibikov, Yu. N.
29
1991
A general course in ordinary differential equations. Textbook. (Общий курс обыкновенных дифференциальных уравнений. Учебное пособие.) Zbl 0482.34003
Bibikov, Yu. N.
15
1981
Stability of zero solutions of essentially nonlinear one-degree-of-freedom Hamiltonian and reversible systems. Zbl 1027.37034
Bibikov, Yu. N.
11
2002
Representation of quasiperiodic motion in the neighborhood of an equilibrium position by convergent power series. Zbl 0467.34033
Bibikov, Yu. N.
9
1979
On the existence of invariant tori in a neighborhood of the zero solution of a system of ordinary differential equations. Zbl 0233.34051
Bibikov, Yu. N.; Pliss, V. A.
7
1972
Construction of invariant tori of systems of differential equations with a small parameter. Zbl 0751.34022
Bibikov, Yu. N.
7
1991
Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency. Zbl 0962.37024
Bibikov, Yu. N.
6
1999
Über die Existenz invarianter Tori in der Umgebung der Nullösung eines Systems gewöhnlicher Differentialgleichungen. Zbl 0189.39601
Bibikov, Yu. N.; Pliss, V. A.
5
1967
A sharpening of a theorem of Moser. Zbl 0301.34041
Bibikov, Yu. N.
5
1973
Bifurcation of a stable invariant torus from an equilibrium. Zbl 0723.34029
Bibikov, Yu. N.
4
1990
On the stability of an equilibrium in case of a periodically perturbed center. Zbl 0913.34049
Basov, V. V.; Bibikov, Yu. N.
3
1997
Bifurcation of the birth of invariant tori with infinitesimally small frequency. Zbl 0907.34025
Bibikov, Yu. N.
3
1998
Periodic perturbations of a nonlinear oscillator. Zbl 1355.34092
Bibikov, Yu. N.; Savel’eva, A. G.
3
2016
Invariant tori of the Duffing equation. Zbl 1155.34324
Bibikov, Yu. N.; Pirogov, M. V.
2
2006
Multifrequency oscillations of singularly perturbed systems. Zbl 1277.34056
Bibikov, Yu. N.; Bukaty, V. R.
2
2012
Bifurcation of an equilibrium for a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation. I. Zbl 0989.34030
Basov, V. V.; Bibikov, Yu. N.
2
2000
An application of a theorem of Moser to the investigation of differential equations of nonlinear oscillations. Zbl 0341.34024
Bibikov, Yu. N.
2
1975
Reducibility of a system of two differential equations to normal form. Zbl 0226.34033
Bibikov, Yu. N.
2
1971
On the stability of the equilibrium position of an oscillator under periodic perturbations. Zbl 1361.34065
Bibikov, Yu. N.
2
2014
Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of third order. Zbl 1370.37099
Bibikov, Yu. N.; Pliss, V. A.
2
2015
On the stability of the equilibrium under periodic perturbations of an oscillator with a power-law restoring force with a rational exponent. Zbl 1434.70048
Bibikov, Yu. N.; Bukaty, V. R.; Trushina, N. V.
2
2016
On stability of zero solution of an essentially nonlinear second-order differential equation. Zbl 1434.34049
Bibikov, Yu. N.; Pliss, V. A.; Trushina, N. V.
2
2017
Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030
Arutyunov, A. V.; Bibikov, Yu. N.; Emel’yanov, S. V.; Gaishun, I. V.; Il’in, V. A.; Kiguradze, I. T.; Korovin, S. K.; Kudryavtsev, L. D.; Kurzhanskii, A. B.; Makarov, E. K.; Martynyuk, A. A.; Mazanik, S. A.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.; Rozov, N. Kh.; Sadovnichii, V. A.; Samoilenko, A. M.; Shemyakina, T. K.; Vasil’ev, F. P.
2
2010
Periodic perturbations of a nonconservative center. Zbl 1394.37095
Bibikov, Yu. N.; Savel’eva, A. G.
2
2018
Lyapunov stability and boundedness of solutions of reversible second order differential equations. Zbl 1199.34256
Bibikov, Y. N.
1
2008
Über die Stabilität im Ganzen der Nullösung eines Systems von zwei Differentialgleichungen. Zbl 0104.06502
Bibikov, Yu. N.
1
1961
On the existence of invariant tori in the neighborhood of the equilibrium state of a system of differential equations. Zbl 0191.10301
Bibikov, Yu. N.
1
1969
The existence of conditionally periodic solutions of differential equations systems. Zbl 0222.34022
Bibikov, Yu. N.
1
1971
The existence of conditionally periodic solutions of differential- equation systems. Zbl 0273.34025
Bibikov, Yu. N.
1
1973
The dependence of the maximal interval of existence of solutions to a differential equation on the initial data. Zbl 1370.34023
Bibikov, Yu. N.; Pliss, V. A.
1
2014
On the stability of the nonlinear center under quasi-periodic perturbations. Zbl 1462.34083
Basov, V. V.; Bibikov, Yu. N.
1
2020
Bifurcation of an oscillatory mode under a periodic perturbation of a special oscillator. Zbl 1428.34052
Bibikov, Yu. N.; Bukaty, V. R.
1
2019
On the stability of the nonlinear center under quasi-periodic perturbations. Zbl 1462.34083
Basov, V. V.; Bibikov, Yu. N.
1
2020
Bifurcation of an oscillatory mode under a periodic perturbation of a special oscillator. Zbl 1428.34052
Bibikov, Yu. N.; Bukaty, V. R.
1
2019
Periodic perturbations of a nonconservative center. Zbl 1394.37095
Bibikov, Yu. N.; Savel’eva, A. G.
2
2018
On stability of zero solution of an essentially nonlinear second-order differential equation. Zbl 1434.34049
Bibikov, Yu. N.; Pliss, V. A.; Trushina, N. V.
2
2017
Periodic perturbations of a nonlinear oscillator. Zbl 1355.34092
Bibikov, Yu. N.; Savel’eva, A. G.
3
2016
On the stability of the equilibrium under periodic perturbations of an oscillator with a power-law restoring force with a rational exponent. Zbl 1434.70048
Bibikov, Yu. N.; Bukaty, V. R.; Trushina, N. V.
2
2016
Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of third order. Zbl 1370.37099
Bibikov, Yu. N.; Pliss, V. A.
2
2015
On the stability of the equilibrium position of an oscillator under periodic perturbations. Zbl 1361.34065
Bibikov, Yu. N.
2
2014
The dependence of the maximal interval of existence of solutions to a differential equation on the initial data. Zbl 1370.34023
Bibikov, Yu. N.; Pliss, V. A.
1
2014
Multifrequency oscillations of singularly perturbed systems. Zbl 1277.34056
Bibikov, Yu. N.; Bukaty, V. R.
2
2012
Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030
Arutyunov, A. V.; Bibikov, Yu. N.; Emel’yanov, S. V.; Gaishun, I. V.; Il’in, V. A.; Kiguradze, I. T.; Korovin, S. K.; Kudryavtsev, L. D.; Kurzhanskii, A. B.; Makarov, E. K.; Martynyuk, A. A.; Mazanik, S. A.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.; Rozov, N. Kh.; Sadovnichii, V. A.; Samoilenko, A. M.; Shemyakina, T. K.; Vasil’ev, F. P.
2
2010
Lyapunov stability and boundedness of solutions of reversible second order differential equations. Zbl 1199.34256
Bibikov, Y. N.
1
2008
Invariant tori of the Duffing equation. Zbl 1155.34324
Bibikov, Yu. N.; Pirogov, M. V.
2
2006
Stability of zero solutions of essentially nonlinear one-degree-of-freedom Hamiltonian and reversible systems. Zbl 1027.37034
Bibikov, Yu. N.
11
2002
Bifurcation of an equilibrium for a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation. I. Zbl 0989.34030
Basov, V. V.; Bibikov, Yu. N.
2
2000
Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency. Zbl 0962.37024
Bibikov, Yu. N.
6
1999
Bifurcation of the birth of invariant tori with infinitesimally small frequency. Zbl 0907.34025
Bibikov, Yu. N.
3
1998
On the stability of an equilibrium in case of a periodically perturbed center. Zbl 0913.34049
Basov, V. V.; Bibikov, Yu. N.
3
1997
Multifrequency nonlinear oscillations and their bifurcations. (Mnogochastotnye nelinejnye kolebaniya i ikh bifurkatsii.) Zbl 0791.34032
Bibikov, Yu. N.
29
1991
Construction of invariant tori of systems of differential equations with a small parameter. Zbl 0751.34022
Bibikov, Yu. N.
7
1991
Bifurcation of a stable invariant torus from an equilibrium. Zbl 0723.34029
Bibikov, Yu. N.
4
1990
A general course in ordinary differential equations. Textbook. (Общий курс обыкновенных дифференциальных уравнений. Учебное пособие.) Zbl 0482.34003
Bibikov, Yu. N.
15
1981
Local theory of nonlinear analytic ordinary differential equations. Zbl 0404.34005
Bibikov, Yuri N.
72
1979
Representation of quasiperiodic motion in the neighborhood of an equilibrium position by convergent power series. Zbl 0467.34033
Bibikov, Yu. N.
9
1979
An application of a theorem of Moser to the investigation of differential equations of nonlinear oscillations. Zbl 0341.34024
Bibikov, Yu. N.
2
1975
A sharpening of a theorem of Moser. Zbl 0301.34041
Bibikov, Yu. N.
5
1973
The existence of conditionally periodic solutions of differential- equation systems. Zbl 0273.34025
Bibikov, Yu. N.
1
1973
On the existence of invariant tori in a neighborhood of the zero solution of a system of ordinary differential equations. Zbl 0233.34051
Bibikov, Yu. N.; Pliss, V. A.
7
1972
Reducibility of a system of two differential equations to normal form. Zbl 0226.34033
Bibikov, Yu. N.
2
1971
The existence of conditionally periodic solutions of differential equations systems. Zbl 0222.34022
Bibikov, Yu. N.
1
1971
On the existence of invariant tori in the neighborhood of the equilibrium state of a system of differential equations. Zbl 0191.10301
Bibikov, Yu. N.
1
1969
Über die Existenz invarianter Tori in der Umgebung der Nullösung eines Systems gewöhnlicher Differentialgleichungen. Zbl 0189.39601
Bibikov, Yu. N.; Pliss, V. A.
5
1967
Über die Stabilität im Ganzen der Nullösung eines Systems von zwei Differentialgleichungen. Zbl 0104.06502
Bibikov, Yu. N.
1
1961
all top 5

Cited by 192 Authors

16 Bibikov, Yuriĭ Nikolaevich
16 Zhang, Xiang
15 Romanovskiĭ, Valeriĭ Georgievich
9 Walcher, Sebastian
6 Bukaty, Veronika Romual’dovna
6 García, Isaac A.
6 Maza, Susanna
6 Sevryuk, Mikhail Borisovich
5 Giné, Jaume
5 Llibre, Jaume
5 Pessoa, Claudio
5 Shafer, Douglas S.
5 Zimka, Rudolf
4 Mahdi, Adam
4 Orlov, Vladimir P.
4 Si, Jianguo
4 Valovik, Dmitry V.
4 Wu, Hao
4 Zhang, Dongfeng
3 Basov, Vladimir Vladimirovich
3 Basov, Vladimir Vladmirovich
3 Buică, Adriana
3 Dorodenkov, A. A.
3 Kachalov, Vasily Ivanovich
3 Kolesov, Andreĭ Yur’evich
3 Kruff, Niclas
3 Rozov, Nikolaĭ Khristovich
3 Shamolin, Maksim Vladimirovich
3 Zvyagin, Viktor Grigor’evich
2 Arcet, Barbara
2 Broer, Henk W.
2 Dong, Guangfeng
2 Edneral, Victor F.
2 Ferčec, Brigita
2 Gaeta, Giuseppe
2 Gentile, Guido
2 Han, Maoan
2 Hoang, Luan Thach
2 Hu, Zhaoping
2 Kolesov, Yuriĭ Serafimovich
2 Li, Weigu
2 Liu, Bin
2 Maličký, Peter
2 Matveev, Michael V.
2 Medvedev, A. G.
2 Murakami, Hiroki
2 Musafirov, Eduard Vladimirovich
2 Pantazi, Chara
2 Pliss, Viktor Aleksandrovich
2 Queiroz, Lucas
2 Rerikh, Konstantin V.
2 Samoĭlenko, Anatoliĭ Mykhaĭlovych
2 Si, Wen
2 Terëkhin, Mikhail Tikhonovich
2 Tkhaĭ, Valentin Nikolaevich
2 Trushina, N. V.
2 Vaia, Faenia
2 Xia, Yonghui
2 Xu, Junxiang
2 Yang, Jiazhong
2 Zerz, Eva
2 Zhukov, Artëm Sergeevich
1 Aldazharova, Maira
1 Aldibekov, Tamasha M.
1 Aleksandrov, Aleksandr Yur’evich
1 Asada, Toichiro
1 Aulbach, Bernd
1 Baeva, O. V.
1 Bayturaev, A. M.
1 Ben Belgacem, Fethi
1 Bruno, Alexander Dmitrievich
1 Bulychev, Yu. G.
1 Buzzi, Claudio Aguinaldo
1 Cao, Dat T.
1 Chen, Guanwei
1 Chen, Jian
1 Chen, Shunqing
1 Cherkas, Leonid A.
1 Demetrian, Michal
1 Du, Zengji
1 El Abdllaoui, Abderrahim
1 Evtushenko, Yuriĭ Gavrilovich
1 Faddeev, A. O.
1 Faria, Teresa
1 Ferragut, Antoni
1 Fradkov, Aleksandr L’vovich
1 Gasull, Armengol
1 Glyzin, Sergeĭ Dmitrievich
1 Gnann, Manuel V.
1 Goeke, Alexandra
1 Goltser, Yakov M.
1 González Andrade, Sergio
1 Gouveia, Luiz F. S.
1 Grašič, Mateja
1 Grin’, Aleksandr Aleksandrovich
1 Hanßmann, Heinz
1 Hauenstein, Jonathan D.
1 Hoo, Jun
1 Huang, Wentao
1 Huitema, G. B.
...and 92 more Authors
all top 5

Cited in 69 Serials

21 Journal of Differential Equations
11 Journal of Mathematical Analysis and Applications
10 Vestnik St. Petersburg University. Mathematics
9 Journal of Mathematical Sciences (New York)
8 Differential Equations
7 Mathematical Notes
7 Computational Mathematics and Mathematical Physics
6 Physica D
5 Journal of Dynamics and Differential Equations
5 Doklady Mathematics
4 Journal of Symbolic Computation
4 Regular and Chaotic Dynamics
3 Journal of Applied Mathematics and Mechanics
3 Applied Mathematics and Computation
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Russian Mathematics
3 Bulletin des Sciences Mathématiques
3 Qualitative Theory of Dynamical Systems
3 Nonlinear Analysis. Real World Applications
3 Proceedings of the Steklov Institute of Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Computers & Mathematics with Applications
2 Ukrainian Mathematical Journal
2 Prikladnaya Matematika i Mekhanika
2 Ergodic Theory and Dynamical Systems
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Indagationes Mathematicae. New Series
2 Nonlinear Dynamics
2 Acta Mathematica Sinica. English Series
2 Discrete and Continuous Dynamical Systems. Series B
1 Modern Physics Letters B
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 Physics Letters. A
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Functional Analysis and its Applications
1 Publications Mathématiques
1 Journal of Functional Analysis
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
1 Applied Mathematics Letters
1 Automation and Remote Control
1 SIAM Journal on Applied Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Sbornik: Mathematics
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 Matematicheskie Trudy
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Lobachevskii Journal of Mathematics
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Dynamical Systems
1 Portugaliae Mathematica. Nova Série
1 Communications on Pure and Applied Analysis
1 Vestsi Natsyyanal’naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk
1 Advances in Difference Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Mathematics
1 Journal of Applied Analysis and Computation
1 Journal of Function Spaces
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika

Citations by Year