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

DOI10.1007/BF02486615zbMath0941.60074MaRDI QIDQ4940420

Grigori L. Kulinich

Publication date: 2 March 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

asymptotic analysiswhite noisedamped oscillatorharmonic oscillator with friction

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Asymptotic analysis of the mathematical expectation of the total energy of a harmonic oscillator under random pulse perturbation

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