@article {62580,
	title = {On the complete synchronization of a time-fractional reaction\&ndash;diffusion system with the Newton\&ndash;Leipnik nonlinearity},
	journal = {Applicable Analysis},
	volume = {100},
	year = {2021},
	month = {2021},
	pages = {675-694},
	abstract = {
	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.

},
	isbn = {0003-6811},
	url = {https://arxiv.org/abs/1809.08426},
	author = {Mansouri, Djamel and Bendoukha, Samir and Abdelmalek, Salem and Youkana, Amar}
}
