Citation:
Mansouri D, Bendoukha S, Abdelmalek S, Youkana A. On the complete synchronization of a time-fractional reaction–diffusion system with the Newton–Leipnik nonlinearity. Applicable Analysis [Internet]. 2021;100 :675-694.
Date Published:
2021Abstract:
In this paper, we consider a time-fractional reaction-diffusion system with the same nonlinearities of the Newton-Leipnik chaotic system. Through analytical tools and numerical results, we derive sufficient conditions for the asymptotic stability of the proposed model and show the existence of chaos. We also propose a nonlinear synchronization controller for a pair of systems and establish the local and global asymptotic convergence of the trajectories by means of fractional stability theory and the Lyapunov method.