Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Yu. N. Bibikov"'
Autor:
Yu. N. Bibikov
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 55:297-300
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::843e961f0d216ebb252810d438ac5681
https://doi.org/10.1134/s1063454122030062
https://doi.org/10.1134/s1063454122030062
Autor:
V. V. Basov, Yu. N. Bibikov
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 53:174-179
The problem of stability of the zero solution of a system with a “center”-type critical point at the origin of coordinates is considered. For the first time, such a problem for autonomous systems was investigated by A.M. Lyapunov. We continued Ly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b60cb46e3ad06d1cc4afd31082609a54
https://doi.org/10.1134/s1063454120020041
https://doi.org/10.1134/s1063454120020041
Autor:
V. R. Bukaty, Yu. N. Bibikov
Publikováno v:
Differential Equations. 55:1011-1016
We study the bifurcation of an oscillator whose restoring force depends on the velocity of motion under periodic perturbations. Separation of variables is used to derive a bifurcation equation. To each positive root of this equation, there correspond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::822d4aca655c7e985990460e47aa595e
https://doi.org/10.1134/s0012266119080020
https://doi.org/10.1134/s0012266119080020
Autor:
Yu. N. Bibikov, V. R. Bukaty
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 52:259-262
We consider the stability of the equilibrium state of an oscillator with an infinitely high natural oscillation frequency under time-periodic perturbations of the oscillator. It is shown that the problem of stability in the case of general equilibriu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2bc1bdd9805a61b3a6b61bc861f43e7c
https://doi.org/10.1134/s1063454119030051
https://doi.org/10.1134/s1063454119030051
Autor:
Yu. N. Bibikov, V. R. Bukaty
Publikováno v:
Differential Equations. 55:753-757
We study a bifurcation from the zero solution of the differential equation ẍ + xp/q = 0, where p > q > 1 are odd coprime numbers, under periodic (in particular, time-invariant) perturbations depending on a small positive parameter e. The motion sep
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13323da7d0ac00164ff7b063aceecf13
https://doi.org/10.1134/s001226611906003x
https://doi.org/10.1134/s001226611906003x
Autor:
Yu. N. Bibikov, A. G. Savel’eva
Publikováno v:
Differential Equations. 54:295-299
Small time-periodic perturbations of an oscillator whose restoring force has a conservative as well as a dissipative component are studied. The stability of the equilibrium and the bifurcation of an invariant two-dimensional torus from the equilibriu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d652500faef61c587b1a348922206cfe
https://doi.org/10.1134/s0012266118030023
https://doi.org/10.1134/s0012266118030023
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 50:235-241
Small periodic (with respect to time) perturbations of an essentially nonlinear differential equation of the second order are studied. It is supposed that the restoring force of the unperturbed equation contains both a conservative and a dissipative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1e5ba51ea2589c8821146ad777b7a38
https://doi.org/10.3103/s1063454117030062
https://doi.org/10.3103/s1063454117030062
Autor:
A. G. Savel’eva, Yu. N. Bibikov
Publikováno v:
Differential Equations. 52:405-412
We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a69513cc776069341b203a0961bf4dd1
https://doi.org/10.1134/s0012266116040017
https://doi.org/10.1134/s0012266116040017
Publikováno v:
Journal of Applied Mathematics and Mechanics. 80:443-448
Small time-periodic perturbations of the oscillator where p and q are odd numbers, p > q , are considered. The stability of the equilibrium x = 0 is investigated. The problem is distinguished by the fact that the frequency of unperturbed oscillations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c1a396eb651fc9b33400cf30ce00fc6
https://doi.org/10.1016/j.jappmathmech.2017.06.002
https://doi.org/10.1016/j.jappmathmech.2017.06.002
Autor:
Yu. N. Bibikov, V. A. Pliss
Publikováno v:
Vestnik St. Petersburg University: Mathematics. 48:57-60
Periodic perturbations of the oscillator \(\ddot x\)+ x3 + ax\(\dot x\) = 0, a2 < 8, are considered. Smallness of perturbations is governed by the smallness of the neighborhood of the state of equilibrium x = 0 and by a small positive parameter. Cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84c38406bb931bba4bef0dcf1e1f0e37
https://doi.org/10.3103/s106345411502003x
https://doi.org/10.3103/s106345411502003x