Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
Chaotic Dynamics
2019-05-09 v1 Dynamical Systems
Abstract
Noise-induced statistical periodicity in a class of one-dimensional maps is studied. We show the existence of statistical periodicity in a modified Lasota-Mackey map and describe the phenomenon in terms of almost cyclic sets. A transition from a stable state to a periodic state of the density depending on the noise level is observed in numerical investigations based on trajectory averages and by means of a transfer operator approach. We conclude that the statistical periodicity is the origin of the almost periodicity in noise-induced order.
Cite
@article{arxiv.1905.02746,
title = {Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps},
author = {Yuzuru Sato and Kathrin Padberg-Gehle},
journal= {arXiv preprint arXiv:1905.02746},
year = {2019}
}