Complete synchronization of the Newton--Leipnik reaction diffusion chaotic system
Dynamical Systems
2019-12-05 v1
Abstract
In this paper we investigate the reaction--diffusion system corresponding to the Newton--Leipnik chaotic system originally developed to model the rigid body motion through linear feedback (LFRBM). We develop a nonlinear synchronization scheme for the proposed reaction--diffusion system and prove its global stability in the local sense by means of the eigenvalues of the Jacobian and global sense through an appropriate Lyapunov functional. A numerical example is presented to illustrate the results of this study.
Keywords
Cite
@article{arxiv.1912.01686,
title = {Complete synchronization of the Newton--Leipnik reaction diffusion chaotic system},
author = {Samir Bendoukha and Salem Abdelmalek},
journal= {arXiv preprint arXiv:1912.01686},
year = {2019}
}
Comments
21 pages, 5 figures