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Anti-Synchronization of Chaotic Systems Using A Fractional Conformable Derivative With Power Law

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2020

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John Wiley and Sons LTD.

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Abstract

In this paper, we propose a new numerical method based on two-step Lagrange polynomial interpolation to get numerical simulations and adaptive anti-synchronization schemes for two fractional conformable attractors of variable order. It was considered the fractional conformable derivative in Liouville-Caputo sense. The novel numerical method was applied to derive new results from the anti-synchronization of the identical uncertain Wang-Sun attractors and three-dimensional chaotic system using fractional conformable sliding mode control. Numerical examples show the effectiveness of the adaptive fractional conformable anti-synchronization schemes for the uncertain chaotic systems considered in this paper.

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Chaotic Systems, Anti-Synchronization, Fractional Derivatives and Integrals, Fractional Conformable Derivative, Sliding Mode Control

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Solís-Pérez, J.E...et al. (2020). "Anti-Synchronization of Chaotic Systems Using A Fractional Conformable Derivative With Power Law",Mathematical Methods in the Applied Sciences.

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Mathematical Methods in the Applied Sciences

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