2017
Том 69
№ 9

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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

Kulinich G. L.

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Abstract

We consider representations in the phase plane for the harmonic oscillator with friction under random perturbations applied along the vector of phase velocity. We investigate the behavior of the amplitude, phase, and total energy of the damped oscillator.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 1, pp 36-50.

Citation Example: Kulinich G. L. 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 // Ukr. Mat. Zh. - 1997. - 49, № 1. - pp. 35–46.

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