Hybrid projective synchronization between different dimensional hyperchaotic systems using nonlinear approach
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In this article, we have successfully achieved hybrid projective synchronization between chaotic systems of different dimensions. By applying Lyapunov stability theory, we have designed appropriate nonlinear controllers to realize both increased and reduced order hybrid projective synchronization. As a demonstration of this synchronization approach, we used recently developed 5D and 4D hyperchaotic systems. Numerical simulations and graphical representations were performed using MATLAB, showing a strong correlation between theoretical predictions and analytical results.
Abstract
In this article, we have successfully achieved hybrid projective synchronization between chaotic systems of different dimensions. By applying Lyapunov stability theory, we have designed appropriate nonlinear controllers to realize both increased and reduced order hybrid projective synchronization. As a demonstration of this synchronization approach, we used recently developed 5D and 4D hyperchaotic systems. Numerical simulations and graphical representations were performed using MATLAB, showing a strong correlation between theoretical predictions and analytical results.