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Keywords = dual combination–combination synchronization (DCCS)

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14 pages, 1010 KiB  
Article
Chaos Controllability in Fractional-Order Systems via Active Dual Combination–Combination Hybrid Synchronization Strategy
by Mohammad Sajid, Harindri Chaudhary, Ali Allahem and Santosh Kaushik
Fractal Fract. 2022, 6(12), 717; https://doi.org/10.3390/fractalfract6120717 - 2 Dec 2022
Cited by 10 | Viewed by 1898
Abstract
In this paper, the dual combination–combination hybrid synchronization (DCCHS) scheme has been investigated in fractional-order chaotic systems with a distinct dimension applying a scaling matrix. The formulations for the active control have been analyzed numerically using Lyapunov’s stability analysis in order to achieve [...] Read more.
In this paper, the dual combination–combination hybrid synchronization (DCCHS) scheme has been investigated in fractional-order chaotic systems with a distinct dimension applying a scaling matrix. The formulations for the active control have been analyzed numerically using Lyapunov’s stability analysis in order to achieve the proposed DCCHS among the considered systems. With the evolution of time, the error system then converges to zero by applying a suitably designed control function. The proposed synchronization technique depicts a higher degree of complexity in error systems, and therefore, the DCCHS scheme provides higher protection for secure communication. Mathematical simulations are implemented using MATLAB, the results of which confirm that the proposed approach is superior and more effective in comparison to existing chaos literature. Full article
(This article belongs to the Special Issue Deterministic and Stochastic Fractional Differential Systems)
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