Li-Yorke chaos in hybrid systems on a time scale
Chaotic Dynamics
2016-02-17 v2 Dynamical Systems
Abstract
By using the reduction technique to impulsive differential equations [1], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li-Yorke definition of chaos. This is the first time in the literature that chaos is obtained for DETS. An illustrative example is presented by means of a Duffing equation on a time scale.
Keywords
Cite
@article{arxiv.1505.04453,
title = {Li-Yorke chaos in hybrid systems on a time scale},
author = {Marat Akhmet and Mehmet Onur Fen},
journal= {arXiv preprint arXiv:1505.04453},
year = {2016}
}
Comments
16 pages, 2 figures