Moment Lyapunov exponent for three-dimensional system under real noise excitation

DOI10.1007/s10483-013-1695-8zbMath1376.34053OpenAlexW1486616448MaRDI QIDQ1686734

Xian-bin Liu, Sheng-Hong Li

Publication date: 15 December 2017

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-013-1695-8

zbMATH Keywords

perturbation methoddiffusion processFourier seriesmoment Lyapunov exponentreal noise

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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• Moment Lyapunov exponent and stochastic stability of binary airfoil driven by non-Gaussian colored noise
• Moment Lyapunov exponents and stochastic stability of a double-beam system under compressive axial loading
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Moment Lyapunov exponents of a two-dimensional system under bounded noise parametric excitation
• On the stability properties of a Van der Pol–Duffing oscillator that is driven by a real noise
• Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise
• The Maximal Lyapunov Exponent for a Three-Dimensional Stochastic System
• THE STRUCTURE OF EIGENFUNCTIONS OF ONE-DIMENSIONAL UNORDERED STRUCTURES
• Small noise expansion of moment lyapunov exponents for two-dimensional systems
• Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation
• Moment Lyapunov Exponent for Two Coupled Oscillators Driven by Real Noise
• A Formula Connecting Sample and Moment Stability of Linear Stochastic Systems
• Moment Lyapunov Exponent for a Three Dimensional Stochastic System
• Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations

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