Existence of random invariant periodic curves via random semiuniform ergodic theorem
Probability
2016-02-25 v1 Dynamical Systems
Abstract
We employ an extension of ergodic theory to the random setting to investigate the existence of random periodic solutions of random dynamical systems. Given that a random dynamical system has a dissipative structure, we proved that a random invariant compact set can be expressed as a union of finite of number of random periodic curves. The idea in this paper is closely related to the work recently considered by Zhao and Zheng [46].
Keywords
Cite
@article{arxiv.1504.08159,
title = {Existence of random invariant periodic curves via random semiuniform ergodic theorem},
author = {Kenneth Uda},
journal= {arXiv preprint arXiv:1504.08159},
year = {2016}
}