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On the Stability of the Zero Solution of a Periodic Reversible Second-Order Differential Equation

Vestnik, St. Petersburg University. Mathematics, 2022-09, Vol.55 (3), p.297-300

Bibikov, Yu. N.

2022

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Periodic Perturbations of Oscillators on a Plane

Vestnik, St. Petersburg University. Mathematics, 2024-03, Vol.57 (1), p.23-29

2024

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Bifurcation of an Oscillatory Mode under a Periodic Perturbation of a Special Oscillator

Differential equations, 2019-06, Vol.55 (6), p.753-757

2019

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Bifurcation of the Equilibrium of an Oscillator with a Velocity-Dependent Restoring Force under Periodic Perturbations

Differential equations, 2019-08, Vol.55 (8), p.1011-1016

2019

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On the Stability of the Nonlinear Center under Quasi-periodic Perturbations

Vestnik, St. Petersburg University. Mathematics, 2020-04, Vol.53 (2), p.174-179

2020

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Stability of the Equilibrium of an Oscillator with an Infinitely High Natural Oscillation Frequency

Vestnik, St. Petersburg University. Mathematics, 2019-07, Vol.52 (3), p.259-262

2019

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Periodic Perturbations of a Nonconservative Center

Differential equations, 2018-03, Vol.54 (3), p.295-299

2018

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Periodic perturbations of a nonlinear oscillator

Differential equations, 2016-04, Vol.52 (4), p.405-412

2016

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On stability of zero solution of an essentially nonlinear second-order differential equation

Vestnik, St. Petersburg University. Mathematics, 2017-07, Vol.50 (3), p.235-241

2017

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On the stability of the equilibrium under periodic perturbations of an oscillator with a power-law restoring force with a rational exponent

Journal of applied mathematics and mechanics, 2016-01, Vol.80 (6), p.443-448

2016

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Multifrequency oscillations of singularly perturbed systems

Differential equations, 2012, Vol.48 (1), p.19-25

2012

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On the stability of the equilibrium position of an oscillator under periodic perturbations

Mathematical Notes, 2014-05, Vol.95 (5-6), p.873-876

Bibikov, Yu. N.

2014

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On stability in Hamiltonian systems with two degrees of freedom

Mathematical Notes, 2014, Vol.95 (1-2), p.174-179

Bibikov, Yu. N.

2014

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Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order

Vestnik, St. Petersburg University. Mathematics, 2015-04, Vol.48 (2), p.57-60

2015

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The dependence of the maximal interval of existence of solutions to a differential equation on the initial data

Vestnik, St. Petersburg University. Mathematics, 2014-10, Vol.47 (4), p.141-144

2014

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The stability of the equilibrium position of Hamiltonian systems with two degrees of freedom

Journal of applied mathematics and mechanics, 2013, Vol.77 (2), p.167-171

Bibikov, Yu. N.

2013

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Invariant tori of the Duffing equation

Differential equations, 2006-08, Vol.42 (8), p.1069-1075

2006

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Regular and singular periodic perturbations of an oscillator with cubic restoring force

Vestnik, St. Petersburg University. Mathematics, 2010-06, Vol.43 (2), p.82-91

2010

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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

Differential equations, 2000-01, Vol.36 (1), p.30-38

2000

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Stability of Zero Solutions of Essentially Nonlinear One-Degree-of-Freedom Hamiltonian and Reversible Systems

Differential equations, 2002-05, Vol.38 (5), p.609

Bibikov, Yu N

2002

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Aleksei Fedorovich Andreev. A tribute in honor of his eighty-fifth birthday

Differential equations, 2009-03, Vol.45 (3), p.299-304

2009

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Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)

Differential equations, 2010, Vol.46 (1), p.1-7

2010

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Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency

Mathematical Notes, 1999-03, Vol.65 (3), p.269-279

Bibikov, Yu. N.

1999

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Viktor Aleksandrovich Pliss (A tribute in honor of his seventy-fifth birthday)

Differential equations, 2007-02, Vol.43 (2), p.151-153

2007

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Conservation and bifurcation of an invariant torus of a vector field

Mathematical Notes, 1997-01, Vol.61 (1), p.29-37

Bibikov, Yu. N.

1997

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On the Stability of the Zero Solution of a Periodic Reversible Second-Order Differential Equation

Periodic Perturbations of Oscillators on a Plane

Bifurcation of an Oscillatory Mode under a Periodic Perturbation of a Special Oscillator

Bifurcation of the Equilibrium of an Oscillator with a Velocity-Dependent Restoring Force under Periodic Perturbations

On the Stability of the Nonlinear Center under Quasi-periodic Perturbations

Stability of the Equilibrium of an Oscillator with an Infinitely High Natural Oscillation Frequency

Periodic Perturbations of a Nonconservative Center

Periodic perturbations of a nonlinear oscillator

On stability of zero solution of an essentially nonlinear second-order differential equation

On the stability of the equilibrium under periodic perturbations of an oscillator with a power-law restoring force with a rational exponent

Multifrequency oscillations of singularly perturbed systems

On the stability of the equilibrium position of an oscillator under periodic perturbations

On stability in Hamiltonian systems with two degrees of freedom

Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of Third order

The dependence of the maximal interval of existence of solutions to a differential equation on the initial data

The stability of the equilibrium position of Hamiltonian systems with two degrees of freedom

Invariant tori of the Duffing equation

Regular and singular periodic perturbations of an oscillator with cubic restoring force

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

Stability of Zero Solutions of Essentially Nonlinear One-Degree-of-Freedom Hamiltonian and Reversible Systems

Aleksei Fedorovich Andreev. A tribute in honor of his eighty-fifth birthday

Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)

Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency

Viktor Aleksandrovich Pliss (A tribute in honor of his seventy-fifth birthday)

Conservation and bifurcation of an invariant torus of a vector field

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