Adaptive synchronization of high-order chaotic systems: a feedback with low-order parametrization

In this work, an adaptive strategy for chaos synchronization is developed. The proposed scheme allows the synchronization of high-order chaotic systems. Only one tuning parameter is required to perform the chaos synchronization. The nonidentical chaotic synchronization can be attained. Computer simulations are provided to verify the operation of the designed synchronization scheme. The proposed controller is implemented to secure communication and synchronization of inhomogeneous oscillators chain. Nevertheless, other practical applications can be physically carried out.