From Chaos to Order Through Mixing

Authors

Dmitriy Dmitrishin, Odessa National Polytechnic UniversityFollow
I. M. Skrinnik, Odessa National Polytechnic University
Alexander M. Stokolos, Georgia Southern UniversityFollow

Document Type

Preprint

Publication Date

8-21-2016

Publication Title

arXiv Repository

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.

Comments

This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the authors must hold the rights or the work must be under Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration.

Recommended Citation

Dmitrishin, Dmitriy, I. M. Skrinnik, Alexander M. Stokolos. 2016. "From Chaos to Order Through Mixing." arXiv Repository: 1-15. source: https://arxiv.org/abs/1607.05493
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/665