Complete synchronization of the Newton--Leipnik reaction diffusion chaotic system

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.