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In this paper we investigate the reaction--diffusion system corresponding tothe Newton--Leipnik chaotic system originally developed to model the rigid bodymotion through linear feedback (LFRBM). We develop a nonlinear synchronizationscheme for the proposed reaction--diffusion system and prove its globalstability in the local sense by means of the eigenvalues of the Jacobian andglobal sense through an appropriate Lyapunov functional. A numerical example ispresented to illustrate the results of this study.

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