Anti‐synchronization of chaotic systems using a fractional conformable derivative with power law

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 Liouvill...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical methods in the applied sciences 2021-07, Vol.44 (10), p.8286-8301
Main Authors: Solís‐Pérez, Jesús Emmanuel, Gómez‐Aguilar, José Francisco, Baleanu, Dumitru, Tchier, Fairouz, Ragoub, Lakhdar
Format: Article
Language:English
Subjects:
Adaptive control
anti‐synchronization
Chaos theory
chaotic systems
fractional conformable derivative
fractional derivatives and integrals
Interpolation
Mathematical analysis
Numerical analysis
Numerical methods
Polynomials
Sliding mode control
Synchronism
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5967