A Review Based on Synchronization of Fractional Order Chaotic System via Sliding Mode Controller

Tariq, Madiha; Shafi, Rabia; Munir, Bacha

doi:10.1145/3175603.3175612

Cited by 1 publication

(1 citation statement)

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“…Radwan et al [49] made a comparison with different chaotic systems as well as with their fractional order counterparts. Tariq et al [50] reviewed the synchronization of fractional-order chaotic system with sliding mode controller. However, it is necessary to sort out the problems existing in the research, which are listed as below:…”

Section: Introductionmentioning

confidence: 99%

Solutions and memory effect of fractional-order chaotic system: A review

He¹,

Wang²,

Sun³

2022

Chinese Phys. B

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Fractional calculus is a 300 years topic, which has been introduced to real physics systems modeling and engineering applications. In the last few decades, fractional-order nonlinear chaotic systems have been widely investigated. Firstly, the most used methods to solve fractional-order chaotic systems are reviewed. Characteristics and memory effect in those method are summarized. Then we discussed the memory effect in the fractional-order chaotic systems through the fractional-order calculus and numerical solution algorithms. It shows that the integer-order derivative has full memory effect, while the fractional-order derivative has nonideal memory effect due to the kernel function. Memory lose and short memory are discussed. Finally, applications of the fractional-order chaotic systems regarding the memory effects are investigated. The work summarized in this manuscript provides reference value for the applied scientists and engineering community of fractional-order nonlinear chaotic systems.

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Section: Introductionmentioning

confidence: 99%