<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Mansouri, Djamel</style></author><author><style face="normal" font="default" size="100%">Bendoukha, Samir</style></author><author><style face="normal" font="default" size="100%">Abdelmalek, Salem</style></author><author><style face="normal" font="default" size="100%">Youkana, Amar</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the complete synchronization of a time-fractional reaction&amp;ndash;diffusion system with the Newton&amp;ndash;Leipnik nonlinearity</style></title><secondary-title><style face="normal" font="default" size="100%">Applicable Analysis</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2021</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://arxiv.org/abs/1809.08426</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">3</style></number><volume><style face="normal" font="default" size="100%">100</style></volume><pages><style face="normal" font="default" size="100%">675-694</style></pages><isbn><style face="normal" font="default" size="100%">0003-6811</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	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.
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