Asymptotics of high order noise corrections
chao-dyn
2015-06-24 v1 混沌动力学
摘要
We consider an evolution operator for a discrete Langevin equation with a strongly hyperbolic classical dynamics and noise with finite moments. Using a perturbative expansion of the evolution operator we calculate high order corrections to its trace in the case of a quartic map and Gaussian noise. The leading contributions come from the period one orbits of the map. The asymptotic behaviour is investigated and is found to be independent up to a multiplicative constant of the distribution of noise.
引用
@article{arxiv.chao-dyn/9911016,
title = {Asymptotics of high order noise corrections},
author = {Niels Sondergaard and Gabor Vattay and Gergely Palla and Andre Voros},
journal= {arXiv preprint arXiv:chao-dyn/9911016},
year = {2015}
}
备注
5 pages, 6 figures, submitted to J. Stat. Phys