title: Multiscaling of noise-induced parametric instability.
abstract: We describe the statistical properties of growth rates of a linear oscillator driven by a parametric noise. We show that in general the fluctuations of local Lyapunov exponents are non-Gaussian and demonstrate multiscaling. Analytical calculations of the generalized Lyapunov exponents are complemented with approximative and numerical results; this allows us to identify the parameter range where the deviations from the Gaussian statistics become important.
authors.affiliation: Department of Physics, Potsdam University, Potsdam, Germany. rzillmer@stat.physik.uni-potsdam.de
authors.forename: R
authors.initials: R
authors.lastname: Zillmer
authors.forename: A
authors.initials: A
authors.lastname: Pikovsky