Controlling hyperchaos in non-identical systems using active controlled hybrid projective combination-combination synchronization technique

Abstract

The current manuscript investigates a hybrid projective combination-combination synchronization scheme (HPCCSS) in four different hyperchaotic (HC) systems via active control technique (ACT). In view of Lyapunov stability theory (LST), the discussed strategy determines asymptotic stability globally. Also, numerous synchronization schemes, namely, projective synchronization, chaos control issue, combined synchronization, and many more turn into specific kinds for combination-combination (C-C) synchronization. Also, a comparison analysis within the given HPCCSS and prior published literature has been done. The proposed scheme has applications in secure communication as well as encryption. Additionally, numerical simulation is executed to check the efficiency of considered scheme using MATLAB software.