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Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In a recent paper an asymptotic approximation for the moment Lyapunov exponent, g(p), of two coupled oscillators driven by a small intensity real noise was obtained. The utility of that result ...
Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A perturbation approach is used to obtain an approximation for the moment Lyapunov exponent of two coupled oscillators with commensurable frequencies driven by a small intensity real noise with ...
Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a perturbation approach is used to calculate the asymptotic growth rate of stochastically coupled two-degree-of-freedom systems. The noise is assumed to be white and of small ...