Abstract
Hybrid synchronization is one of the most significant aspects of a dynamic system. We achieve nonlinear control unit results to synchronize two comparable 7D structures in this study. Many dynamic systems are directly connected to health care and directly enhance health. We employed linearization and Lyapunov as analytical methods, and since the linearization method does not need updating the Lyapunov function, it is more successful in achieving synchronization phenomena with better outcomes than the Lyapunov method. The two methods were combined, and the result was a striking resemblance to the dynamic system’s mistake. The mathematical system with control and error of the dynamic system was subjected to digital emulation. The digital good outcomes were comparable to the two methods previously stated. We compared the outcomes of three hybrid synchronizations based on Lyapunov and linearization methods. Finally, we used the existing system, presenting it in a new attractor and comparing the findings to those of other similar systems.
Highlights
Real-world turbulent dynamics are studied and analyzed with greater importance in many aspects of nonlinear dynamic systems. e Lorenz system, which includes only true variables and was uncovered in 1963, is the first physical and mathematical model of a chaotic system, opening new pathways to other chaos systems such as the Chen system, Liu system, Lu’s system, and Pan system
In the complete synchronization scheme, we focused on the nonlinear control strategy, and another method was suggested, namely, linearization; in addition, we used the Lyapunov method which is adopted in all previous works in order to compare and verify between the two methods. e results show that the linearization method is the best for achieving the synchronization; because the stability Lyapunov method needs, the Lyapunov exponent and the nonlinear dynamic system attractor are the base
By Lyapunov and linearization techniques, we have been attempting to comprehend the inconsistencies in each step and how to achieve synchronization
Summary
Hybrid synchronization is one of the most significant aspects of a dynamic system. We achieve nonlinear control unit results to synchronize two comparable 7D structures in this study. Many dynamic systems are directly connected to health care and directly enhance health. We employed linearization and Lyapunov as analytical methods, and since the linearization method does not need updating the Lyapunov function, it is more successful in achieving synchronization phenomena with better outcomes than the Lyapunov method. E two methods were combined, and the result was a striking resemblance to the dynamic system’s mistake. E mathematical system with control and error of the dynamic system was subjected to digital emulation. E digital good outcomes were comparable to the two methods previously stated. We compared the outcomes of three hybrid synchronizations based on Lyapunov and linearization methods. We used the existing system, presenting it in a new attractor and comparing the findings to those of other similar systems
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