Stability of Fixed Points and Chaos in Fractional Systems
Chaotic Dynamics
2018-07-05 v1
Abstract
In this paper we propose a method to define the range of stability of fixed points for a variety of discrete fractional systems of the order . The method is tested on various forms of fractional generalizations of the standard and logistic maps. Based on our analysis we make a conjecture that chaos is impossible in the corresponding continuous fractional systems.
Cite
@article{arxiv.1711.06777,
title = {Stability of Fixed Points and Chaos in Fractional Systems},
author = {Mark Edelman},
journal= {arXiv preprint arXiv:1711.06777},
year = {2018}
}
Comments
24 pages 3 figures. arXiv admin note: substantial text overlap with arXiv:1709.00093