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. 2022 Jan 31:2022:4569879.
doi: 10.1155/2022/4569879. eCollection 2022.

Applying Dynamic Systems to Social Media by Using Controlling Stability

Abdulsattar Abdullah Hamad  1 , M Lellis Thivagar  1 , Malik Bader Alazzam  2 , Fawaz Alassery  3 , Fahima Hajjej  4 , Ali A Shihab  5
Affiliations

Applying Dynamic Systems to Social Media by Using Controlling Stability

Abdulsattar Abdullah Hamad et al. Comput Intell Neurosci. .

Retraction in

Abstract

This study focuses on hybrid synchronization, a new synchronization phenomenon in which one element of the system is synced with another part of the system that is not allowing full synchronization and nonsynchronization to coexist in the system. When lim t ⟶ ∞ Y - α X = 0 , where Y and X are the state vectors of the drive and response systems, respectively, and Wan (α = ∓1)), the two systems' hybrid synchronization phenomena are realized mathematically. Nonlinear control is used to create four alternative error stabilization controllers that are based on two basic tools: Lyapunov stability theory and the linearization approach.

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Conflict of interest statement

The authors declare that they have no conflicts of interest.

Figures

Figure 1
Figure 1
Hybrid synchronization between two systems (1).
Figure 2
Figure 2
The convergence of system (4) with control (10).
Figure 3
Figure 3
The convergence of system (4).
Figure 4
Figure 4
Hybrid synchronization between the two systems (1).
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