Local theory of nonlinear analytic ordinary differential equations. Zbl 0404.34005
Bibikov, Yuri N. |
|
1979
|
Multifrequency nonlinear oscillations and their bifurcations.
(Mnogochastotnye nelinejnye kolebaniya i ikh bifurkatsii.) Zbl 0791.34032
Bibikov, Yu. N. |
|
1991
|
A general course in ordinary differential equations. Textbook.
(Общий курс обыкновенных дифференциальных уравнений. Учебное пособие.) Zbl 0482.34003
Bibikov, Yu. N. |
|
1981
|
Stability of zero solutions of essentially nonlinear one-degree-of-freedom Hamiltonian and reversible systems. Zbl 1027.37034
Bibikov, Yu. N. |
|
2002
|
Representation of quasiperiodic motion in the neighborhood of an equilibrium position by convergent power series. Zbl 0467.34033
Bibikov, Yu. N. |
|
1979
|
Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency. Zbl 0962.37024
Bibikov, Yu. N. |
|
1999
|
Construction of invariant tori of systems of differential equations with a small parameter. Zbl 0751.34022
Bibikov, Yu. N. |
|
1991
|
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. |
|
1972
|
A sharpening of a theorem of Moser. Zbl 0301.34041
Bibikov, Yu. N. |
|
1973
|
Bifurcation of a stable invariant torus from an equilibrium. Zbl 0723.34029
Bibikov, Yu. N. |
|
1990
|
Über die Existenz invarianter Tori in der Umgebung der Nullösung eines Systems gewöhnlicher Differentialgleichungen. Zbl 0189.39601
Bibikov, Yu. N.; Pliss, V. A. |
|
1967
|
Multifrequency oscillations of singularly perturbed systems. Zbl 1277.34056
Bibikov, Yu. N.; Bukaty, V. R. |
|
2012
|
On the stability of an equilibrium in case of a periodically perturbed center. Zbl 0913.34049
Basov, V. V.; Bibikov, Yu. N. |
|
1997
|
Bifurcation of the birth of invariant tori with infinitesimally small frequency. Zbl 0907.34025
Bibikov, Yu. N. |
|
1998
|
Periodic perturbations of a nonlinear oscillator. Zbl 1355.34092
Bibikov, Yu. N.; Savel’eva, A. G. |
|
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. |
|
2017
|
Invariant tori of the Duffing equation. Zbl 1155.34324
Bibikov, Yu. N.; Pirogov, M. V. |
|
2006
|
Periodic perturbations of a nonconservative center. Zbl 1394.37095
Bibikov, Yu. N.; Savel’eva, A. G. |
|
2018
|
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. |
|
2016
|
Reducibility of a system of two differential equations to normal form. Zbl 0226.34033
Bibikov, Yu. N. |
|
1971
|
An application of a theorem of Moser to the investigation of differential equations of nonlinear oscillations. Zbl 0341.34024
Bibikov, Yu. N. |
|
1975
|
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. |
|
2010
|
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. |
|
2000
|
On the stability of the equilibrium position of an oscillator under periodic perturbations. Zbl 1361.34065
Bibikov, Yu. N. |
|
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. |
|
2015
|
Investigations in the local qualitative theory of differential equations at the chair of differential equations of Petersburg University. Zbl 1476.37004
Andreev, A. F.; Bibikov, Yu. N. |
|
2003
|
Lyapunov stability and boundedness of solutions of reversible second order differential equations. Zbl 1199.34256
Bibikov, Y. N. |
|
2008
|
Bifurcation of an oscillatory mode under a periodic perturbation of a special oscillator. Zbl 1428.34052
Bibikov, Yu. N.; Bukaty, V. R. |
|
2019
|
Über die Stabilität im Ganzen der Nullösung eines Systems von zwei Differentialgleichungen. Zbl 0104.06502
Bibikov, Yu. N. |
|
1961
|
Bifurkationen Hopfschen Typs für quasiperiodische Bewegungen. Zbl 0446.34044
Bibikov, Yu. N. |
|
1980
|
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. |
|
1969
|
The existence of conditionally periodic solutions of differential equations systems. Zbl 0222.34022
Bibikov, Yu. N. |
|
1971
|
The existence of conditionally periodic solutions of differential- equation systems. Zbl 0273.34025
Bibikov, Yu. N. |
|
1973
|
On the stability of the nonlinear center under quasi-periodic perturbations. Zbl 1462.34083
Basov, V. V.; Bibikov, Yu. N. |
|
2020
|
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. |
|
2014
|
On the stability of the nonlinear center under quasi-periodic perturbations. Zbl 1462.34083
Basov, V. V.; Bibikov, Yu. N. |
|
2020
|
Bifurcation of an oscillatory mode under a periodic perturbation of a special oscillator. Zbl 1428.34052
Bibikov, Yu. N.; Bukaty, V. R. |
|
2019
|
Periodic perturbations of a nonconservative center. Zbl 1394.37095
Bibikov, Yu. N.; Savel’eva, A. G. |
|
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. |
|
2017
|
Periodic perturbations of a nonlinear oscillator. Zbl 1355.34092
Bibikov, Yu. N.; Savel’eva, A. G. |
|
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. |
|
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. |
|
2015
|
On the stability of the equilibrium position of an oscillator under periodic perturbations. Zbl 1361.34065
Bibikov, Yu. N. |
|
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. |
|
2014
|
Multifrequency oscillations of singularly perturbed systems. Zbl 1277.34056
Bibikov, Yu. N.; Bukaty, V. R. |
|
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. |
|
2010
|
Lyapunov stability and boundedness of solutions of reversible second order differential equations. Zbl 1199.34256
Bibikov, Y. N. |
|
2008
|
Invariant tori of the Duffing equation. Zbl 1155.34324
Bibikov, Yu. N.; Pirogov, M. V. |
|
2006
|
Investigations in the local qualitative theory of differential equations at the chair of differential equations of Petersburg University. Zbl 1476.37004
Andreev, A. F.; Bibikov, Yu. N. |
|
2003
|
Stability of zero solutions of essentially nonlinear one-degree-of-freedom Hamiltonian and reversible systems. Zbl 1027.37034
Bibikov, Yu. N. |
|
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. |
|
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. |
|
1999
|
Bifurcation of the birth of invariant tori with infinitesimally small frequency. Zbl 0907.34025
Bibikov, Yu. N. |
|
1998
|
On the stability of an equilibrium in case of a periodically perturbed center. Zbl 0913.34049
Basov, V. V.; Bibikov, Yu. N. |
|
1997
|
Multifrequency nonlinear oscillations and their bifurcations.
(Mnogochastotnye nelinejnye kolebaniya i ikh bifurkatsii.) Zbl 0791.34032
Bibikov, Yu. N. |
|
1991
|
Construction of invariant tori of systems of differential equations with a small parameter. Zbl 0751.34022
Bibikov, Yu. N. |
|
1991
|
Bifurcation of a stable invariant torus from an equilibrium. Zbl 0723.34029
Bibikov, Yu. N. |
|
1990
|
A general course in ordinary differential equations. Textbook.
(Общий курс обыкновенных дифференциальных уравнений. Учебное пособие.) Zbl 0482.34003
Bibikov, Yu. N. |
|
1981
|
Bifurkationen Hopfschen Typs für quasiperiodische Bewegungen. Zbl 0446.34044
Bibikov, Yu. N. |
|
1980
|
Local theory of nonlinear analytic ordinary differential equations. Zbl 0404.34005
Bibikov, Yuri N. |
|
1979
|
Representation of quasiperiodic motion in the neighborhood of an equilibrium position by convergent power series. Zbl 0467.34033
Bibikov, Yu. N. |
|
1979
|
An application of a theorem of Moser to the investigation of differential equations of nonlinear oscillations. Zbl 0341.34024
Bibikov, Yu. N. |
|
1975
|
A sharpening of a theorem of Moser. Zbl 0301.34041
Bibikov, Yu. N. |
|
1973
|
The existence of conditionally periodic solutions of differential- equation systems. Zbl 0273.34025
Bibikov, Yu. N. |
|
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. |
|
1972
|
Reducibility of a system of two differential equations to normal form. Zbl 0226.34033
Bibikov, Yu. N. |
|
1971
|
The existence of conditionally periodic solutions of differential equations systems. Zbl 0222.34022
Bibikov, Yu. N. |
|
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. |
|
1969
|
Über die Existenz invarianter Tori in der Umgebung der Nullösung eines Systems gewöhnlicher Differentialgleichungen. Zbl 0189.39601
Bibikov, Yu. N.; Pliss, V. A. |
|
1967
|
Über die Stabilität im Ganzen der Nullösung eines Systems von zwei Differentialgleichungen. Zbl 0104.06502
Bibikov, Yu. N. |
|
1961
|