Lyapunov Exponents and Stochastic Stability of Two-Dimensional Parametrically Excited Random Systems

DOI10.1115/1.2900857zbMath0796.70015OpenAlexW1971647799MaRDI QIDQ4294802

Wei-Chau Xie, S. T. Ariaratnam

Publication date: 18 May 1994

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2900857

zbMATH Keywords

bifurcationdamping termmethod of linear transformationstiffness term

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) 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)

Related Items (6)

Stochastic stability of three-dimensional linear systems under parametric random action ⋮ Stochastic stability of coupled viscoelastic systems excited by real noise ⋮ On the maximal Lyapunov exponent for a real noise parametrically excited co-dimension two bifurcation system. I ⋮ On the maximal Lyapunov exponent for a real noise parametrically excited co-dimension two bifurcation system. II ⋮ Moment Lyapunov exponents and stochastic stability of a parametrically excited oscillator ⋮ Maximal Lyapunov Exponents and Steady-State Moments of a VI System based Upon TDFC and VED

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