Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications
Ludwig ArnoldCourant Insitute of Mathematical Sciences, New York University, New York, New York 10012George PapanicolaouForschungsschwerpunkt Dynamische Systeme, Universitit Bremen, Postfach 330440, 2800 Bremen 33, West GermanyVolker WihstutzCourant Insitute of Mathematical Sciences, New York University, New York, New York 10012
1986en
ABI
Annotatsiya
We construct asymptotic expansions for the exponential growth rate (Lyapunov exponent) and rotation number of the random oscillator when the noise is large, small, rapidly varying or slowly varying. We then apply our results to problems in the stability of the random oscillator, the spectrum of the one-dimensional random Schrödinger operator and wave propagation in a one-dimensional random medium.
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