Chaos in Saw Map
Dynamical Systems
2017-09-08 v1
Abstract
We consider dynamics of a scalar piecewise linear "saw map" with infinitely many linear segments. In particular, such maps are generated as a Poincar\'e map of simple two-dimensional discrete time piecewise linear systems involving a saturation function. Alternatively, these systems can be viewed as a feedback loop with the so-called stop hysteresis operator. We analyze chaotic sets and attractors of the "saw map" depending on its parameters.
Cite
@article{arxiv.1709.01962,
title = {Chaos in Saw Map},
author = {Nikita Begun and Pavel Kravetc and Dmitrii Rachinskii},
journal= {arXiv preprint arXiv:1709.01962},
year = {2017}
}