Cover Image

Stability in the average quadratic for the harmonic oscillator with a random parameter

Sufficient mean-square stability conditions of a harmonic oscillator whose random parameter is an Ornstein-Uhlenbeck process are obtained.

Saved in:

Bibliographic Details
Date:	1992
Main Authors:	Bobrik , R. V., Бобрик , Р. В.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8180
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Observer of harmonic oscillator parameters
by: V. F. Shcherbak
Published: (2022)

Averaging of a multipoint problem with parameters for an impulsive oscillation system
by: Petryshyn, Ya. R., et al.
Published: (2000)

On the root-mean-square stability of solutions for the system of linear differential equations with the Guassian coefficients
by: Bobrik , R. V., et al.
Published: (1988)

Simulation of the radiation intensity of a classical harmonic oscillator in a field of random force
by: Ju. A. Vyzhol, et al.
Published: (2012)

Averaging of randomly perturbed evolutionary equations
by: Kolomiets, Yu. V., et al.
Published: (1993)

Averaging method in some problems of the theory of nonlinear oscillations
by: Petryshyn, R. I., et al.
Published: (1995)

A Perturbation of the Dunkl Harmonic Oscillator on the Line
by: Álvarez López, J.A., et al.
Published: (2015)

The ₂ Harmonic Oscillator with Reflections and Superintegrability
by: Dunkl, Charles F.
Published: (2023)

Bispectral Analysis of Quadratic Type Transformation of Random Processes
by: Galushko, V. G.
Published: (2013)

Topological stability of the averagings of functions
by: Maksimenko, S. I., et al.
Published: (2016)

Averaging method in multipoint problems of the theory of nonlinear oscillations
by: Petryshyn, Ya. R., et al.
Published: (1996)

Binary approximation of random evolutions in the scheme of averaging
by: Svishchuk , A. V., et al.
Published: (1992)

Topological stability of the averagings of functions
by: S. I. Maksymenko, et al.
Published: (2016)

Error Estimates for the Averaging Method for Pulse Oscillation Systems
by: Lakusta, L. M., et al.
Published: (2003)

Harmonic Oscillator on the SO(2,2) Hyperboloid
by: Petrosyan, D.R., et al.
Published: (2015)

Phase transition in a system of 1D harmonic oscillators obeying Polychronakos statistics with a complex parameter
by: A. Rovenchak
Published: (2013)

Phase transition in a system of 1D harmonic oscillators obeying Polychronakos statistics with a complex parameter
by: Rovenchak, A.
Published: (2013)

High harmonics oscillator radiation in a periodic structure
by: Gorbunov, M.A., et al.
Published: (2006)

Imaginary Powers of the Dunkl Harmonic Oscillator
by: Nowak, A., et al.
Published: (2009)

Average quadratic error of the estimate of the first order splines in the model of linear regression
by: Petunina , M. Yu., et al.
Published: (1991)

Averaging of evolution equations disturbed by random processes with jumps
by: Kolomiets , Yu. V., et al.
Published: (1992)

Qualitative analysis of the influence of random perturbations of “white-noise” type applied along the vector of phase velocity on a harmonic oscillator with friction
by: Kulinich, G. L., et al.
Published: (1997)

About stability of the difference scheme with averaging
by: A. V. Gladkij, et al.
Published: (2018)

Limited theorem for random functions, plotted according to quadratic forms from Gaussian random values
by: Ryzhov , Yu. M., et al.
Published: (1988)

Exitation of highnumber harmonics by non-relativistic oscillators
by: Antonov, A.N., et al.
Published: (2002)

Quasiperiodic forced oscillations of rigid body in the field of quadratic potential
by: I. O. Parasiuk
Published: (2018)

Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
by: Álvarez López, J.A., et al.
Published: (2014)

Harmonic Oscillator SUSY Partners and Evolution Loops
by: Fernández, D.J.
Published: (2012)

Quantum oscillator in an infinite-particle harmonic system
by: Rozhenko, N. N., et al.
Published: (1993)

Stability of a program manifold of control systems with locally quadratic relations
by: Zhumatov, S. S., et al.
Published: (2009)

Averaging in hyperbolic systems subjected to weakly dependent random disturbances
by: Bondarev , В. V., et al.
Published: (1992)

Averaging of Oscillation Systems with Delay and Integral Boundary Conditions
by: Bigun, Ya. I., et al.
Published: (2004)

Quasi-harmonic RF oscillations in a gyrotropic nonlinear transmission line
by: Karelin, S.Y., et al.
Published: (2018)

Excitation of high numbers harmonics by flows of oscillators in a periodic potential
by: Buts, V.A., et al.
Published: (2005)

On oscillation of a beam with a reservoir under the harmonic forcing of the beam base
by: Ju. V. Trotsenko
Published: (2013)

To the Theory of Oscillations in Unsteady Random Medium
by: Yantsevich, A. A., et al.
Published: (2013)

Determination of External Harmonic Influence on the Self-Oscillating System
by: N. V. Zhoholeva, et al.
Published: (2023)

Stability of a Dynamical System with Semi-Markov Switchings under Conditions of Stability of the Averaged System
by: Korolyuk, V. S., et al.
Published: (2002)

Averaging method in multifrequency systems with slowly varying parameters
by: Samoilenko , A. M., et al.
Published: (1988)

On Randomly Perturbed Linear Oscillating Mechanical Systems
by: Skorokhod, A. V., et al.
Published: (2000)