Unpredictable Points and Chaos
Dynamical Systems
2016-06-22 v1 Chaotic Dynamics
Abstract
It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. The existing definitions of chaos are formulated in sets of motions. This is the first time that description of chaos is initiated from a single motion. The theoretical results are exemplified by means of the symbolic dynamics.
Cite
@article{arxiv.1602.00315,
title = {Unpredictable Points and Chaos},
author = {Marat Akhmet and Mehmet Onur Fen},
journal= {arXiv preprint arXiv:1602.00315},
year = {2016}
}
Comments
9 pages