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arXiv · 1809.08426

On the complete synchronization of a time-fractional reaction-diffusion system with the Newton-Leipnik nonlinearity

Djamel Mansouri·Salem Abdelmalek·Samir Bendoukha·Amar Youkana
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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.

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Djamel Mansouri, Salem Abdelmalek, Samir Bendoukha, Amar Youkana. 2018-09-22. On the complete synchronization of a time-fractional reaction-diffusion system with the Newton-Leipnik nonlinearity. https://arxiv.org/abs/1809.08426

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