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

DOI10.1007/S11072-010-0079-ZzbMath1277.60073OpenAlexW2047085749MaRDI QIDQ386580

D. Yu. Kurovs'kyi, D. V. Petrusenko, Grigori L. Kulinich

Publication date: 9 December 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-010-0079-z

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Signal detection and filtering (aspects of stochastic processes) (60G35) Perturbations of ordinary differential equations (34D10)

Related Items (1)

Asymptotic analysis of mathematical expectation of the total energy of a harmonic oscillator perturbed by the ``shot-noise-type process

Cites Work

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• On the limiting behavior of a harmonic oscillator with random external disturbance
• Stochastic Equations and Their Applications
• Qualitative analysis of the influence of random perturbations on the phase velocity of the harmonic oscillator
• 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
• On the phase portrait of a harmonic oscillator with friction perturbed by a random process of white noise type

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