Generalized Combination Complex Synchronization of New Hyperchaotic Complex Systems

Combination complex synchronization is a specialized form of synchronization observed in complex chaotic systems, characterized by a unique coupling mechanism where multiple drive systems interact with a single response system [172, 173]. In this chapter, based on two drive complex systems and one response complex system with different dimensions, we propose generalized combination complex synchronization and design a general controller. Additionally, we investigate generalized combination complex synchronization between real systems and complex systems via two complex scaling matrices. In the following, a new hyperchaotic complex system is presented and its dynamical properties are discussed.