Parametric Random Excitation of a Damped Mathieu Oscillator

DOI10.1002/ZAMM.19760561102zbMath0352.34028OpenAlexW2147959721MaRDI QIDQ4122223

D. S. F. Tam, S. T. Ariaratnam

Publication date: 1976

Published in: ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19760561102

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Periodic solutions to ordinary differential equations (34C25) Random vibrations in mechanics of particles and systems (70L05) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (6)

First-passage failure of strongly nonlinear oscillators under combined harmonic and real noise excitations ⋮ Viscoelastic systems under both deterministic and bound random parametric excitation ⋮ On stability of parametrically excited linear stochastic systems ⋮ Stochastic stability of damped Mathieu oscillator parametrically excited by a Gaussian noise ⋮ Principal response of van der Pol-Duffing oscillator under combined deterministic and random parametric excitation. ⋮ On the stochastic resonance phenomenon in parametrically excited systems

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