A Novel Criterion for Unpredictable Motions
Chaotic Dynamics
2022-02-08 v1 Dynamical Systems
Abstract
We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient conditions for the existence of unpredictable motions in the dynamics of the response system are provided. The theoretical results are exemplified for coupled autonomous systems in which the drive is a hybrid dynamical system and the response is a Lorenz system. The auxiliary system approach and conditional Lyapunov exponents are utilized to detect the presence of generalized synchronization.
Keywords
Cite
@article{arxiv.2202.02422,
title = {A Novel Criterion for Unpredictable Motions},
author = {Fatma Tokmak Fen and Mehmet Onur Fen and Marat Akhmet},
journal= {arXiv preprint arXiv:2202.02422},
year = {2022}
}
Comments
13 pages, 3 figures