Multi-switching penta compound combination synchronization of a plasma torch jerk system and its application

This work proposes a synchronization framework that combines multi-switching synchronization with penta compound combination synchronization for nonlinear chaotic systems. The scheme is formulated to realize synchronization between two driving systems and ten response systems by means of suitably designed nonlinear controllers. The developed approach provides stable and efficient synchronization under different switching arrangements among multiple chaotic systems. For demonstrating the validity of the proposed method, the Plasma Torch Jerk chaotic system is employed as a representative example. Numerical investigations are carried out in MATLAB to verify the analytical results and to illustrate the accuracy and stability of the synchronization behavior. Moreover, the study discusses the usefulness of the proposed synchronization model in secure communication, especially for improving data security and encrypted signal transmission in modern communication networks.