Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system

DOI10.1080/02681119008806079zbMath0702.93062OpenAlexW2046381715MaRDI QIDQ3481614

S. T. Ariaratnam, Wei-Chau Xie

Publication date: 1990

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119008806079

zbMATH Keywords

rotation numberLyapunov exponentstochastic stability of elastic systemstwo-dimensional nilpotent stochastic system

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Optimization problems in solid mechanics (74P99)

Related Items (6)

Lyapunov exponents for small random perturbations of Hamiltonian systems. ⋮ A property of systems of differential equations perturbed by white noises and its applications to the stochastic continuity of lyapunov exponents ⋮ Stochasic stability of viscoewtic bars ⋮ On two bifurcations of a white-noise excited Hopf bifurcation system ⋮ Lyapunov exponents of nilpotent Itô systems with random coefficients. ⋮ Sensitivity of pitchfork bifurcation to stochastic perturbation

Cites Work

• Asymptotic expansions of the Lyapunov index for linear stochastic systems with small noise
• Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications
• Lyapunov Exponent and Rotation Number of Two-Dimensional Linear Stochastic Systems with Small Diffusion
• Lyapunov exponents of nilpotent ito systems
• On the stability of two-dimensional linear stochastic systems
• Necessary and Sufficient Conditions for Almost Sure Sample Stability of Linear Ito Equations

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