LYAPUNOV EXPONENTS AND RESONANCE FOR SMALL PERIODIC AND RANDOM PERTURBATIONS OF A CONSERVATIVE LINEAR SYSTEM
DOI10.1142/S0219493702000315zbMath1018.37034OpenAlexW1988328156MaRDI QIDQ4546194
Publication date: 19 August 2002
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493702000315
stochastic differential equationperiodic coefficientsLyapunov exponentmoment Lyapunov exponentstochastically perturbed Hill's oscillator
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)
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Cites Work
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- On the rate at which a homogeneous diffusion approaches a limit, an application of large deviation theory to certain stochastic integrals
- Large deviations and stochastic flows of diffeomorphisms
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- Lyapunov Exponent and Rotation Number of Two-Dimensional Linear Stochastic Systems with Small Diffusion
- Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation
- MOMENT LYAPUNOV EXPONENT FOR CONSERVATIVE SYSTEMS WITH SMALL PERIODIC AND RANDOM PERTURBATIONS
- A Formula Connecting Sample and Moment Stability of Linear Stochastic Systems
- Principle of Averaging for Parabolic and Elliptic Differential Equations and for Markov Processes with Small Diffusion
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