The moment Lyapunov exponent for a three-dimensional stochastic system

DOI10.1016/j.chaos.2014.07.007zbMath1354.37035OpenAlexW2013842821MaRDI QIDQ506630

Xuan Li, Xian-bin Liu

Publication date: 1 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2014.07.007

zbMATH Keywords

Ornstein-Uhlenbeck processmoment Lyapunov exponentergodic real noise

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Generation, random and stochastic difference and differential equations (37H10) Stability theory for smooth dynamical systems (37C75)

Cites Work

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• Moment Lyapunov exponents and stochastic stability of a double-beam system under compressive axial loading
• Stochastic averaging of oscillators excited by colored Gaussian processes
• On relations between moment properties and almost sure Lyapunov stability for linear stochastic systems
• Runge-Kutta methods for Itô stochastic differential equations with scalar noise
• 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
• Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications
• 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
• Spectral Analysis of Fokker--Planck and Related Operators Arising From Linear Stochastic Differential Equations
• Moment Lyapunov Exponent for Two Coupled Oscillators Driven by Real Noise
• A Formula Connecting Sample and Moment Stability of Linear Stochastic Systems