From chaos to order through mixing
Chaotic Dynamics
2016-08-23 v3
Abstract
In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach allows us to locally stabilize a priori unknown cycles of a given length. As a special case, we have a cycle stabilization using nonlinear feedback. Several examples are considered.
Cite
@article{arxiv.1607.05493,
title = {From chaos to order through mixing},
author = {D. Dmitrishin and I. M. Skrinnik and A. Stokolos},
journal= {arXiv preprint arXiv:1607.05493},
year = {2016}
}