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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

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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.

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Authors
  1. G. L. Kulinich
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Additional information

Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 1, pp. 35–46, January, 1997.

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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 Math J 49, 36–50 (1997). https://doi.org/10.1007/BF02486615

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  • DOI: https://doi.org/10.1007/BF02486615

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