On a Very Steep Version of the Standard Map
Dynamical Systems
2018-12-18 v1
Abstract
We consider the long time behavior of the trajectories of the discontinuous analog of the standard Chirikov map. We prove that for some values of parameters all the trajectories remains bounded for all time. For other set of parameters we provide an estimate for the escape rate for the trajectories and present a numerically supported conjecture for the actual escape rate.
Keywords
Cite
@article{arxiv.1609.07424,
title = {On a Very Steep Version of the Standard Map},
author = {Maxim Arnold and Thomas Dauer and Meg Doucette and Shan-Conrad Wolf},
journal= {arXiv preprint arXiv:1609.07424},
year = {2018}
}
Comments
8 pages, 8 figures. submitted to Experimental Mathematics