Harmonic oscillator driven by random processes having fractal and Hurst effects

DOI10.1007/s00707-015-1385-4zbMath1359.60053OpenAlexW914396868MaRDI QIDQ748520

Martin Ostoja-Starzewski, Lihua Shen, Emilio Porcu

Publication date: 29 October 2015

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-015-1385-4

zbMATH Keywords

Cauchy excitationDagum forcingsHurst effects

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Random operators and equations (aspects of stochastic analysis) (60H25) Ordinary differential equations and systems with randomness (34F05)

Related Items

Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects, Elastodynamic problem on tensor random fields with fractal and Hurst effects, New decouplers of fractal dimension and Hurst effects, Impact force and moment problems on random mass density fields with fractal and Hurst effects, Anti-plane shear Lamb's problem on random mass density fields with fractal and Hurst effects, On positive definiteness of some radial functions

Cites Work

• Unnamed Item
• Unnamed Item
• Advances and challenges in space-time modelling of natural events. Papers based on the presentations at the international spring school, Toledo, Spain, March 2010.
• Modelling spatio-temporal data: a new variogram and covariance structure proposal
• Spatial variation. 2nd ed
• Responses of first-order dynamical systems to Matérn, Cauchy, and Dagum excitations
• Bernoulli-Euler beams with random field properties under random field loads: fractal and Hurst effects
• Transient Response of a Dynamic System Under Random Excitation
• Stochastic Models That Separate Fractal Dimension and the Hurst Effect
• On the performance of box-counting estimators of fractal dimension