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Anti‐synchronization of chaotic systems using a fractional conformable derivative with power law
Author(s) -
SolísPérez Jesús Emmanuel,
GómezAguilar José Francisco,
Baleanu Dumitru,
Tchier Fairouz,
Ragoub Lakhdar
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5967
Subject(s) - conformable matrix , mathematics , attractor , synchronization (alternating current) , fractional calculus , chaotic , numerical analysis , control theory (sociology) , topology (electrical circuits) , mathematical analysis , computer science , control (management) , quantum mechanics , combinatorics , artificial intelligence , physics
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.