Title: Dual combination combination multi switching synchronization of eight chaotic systems,
Abstract: In this paper, a novel scheme for synchronizing four drive and four response
systems is proposed by the authors. The idea of multi switching and dual
combination synchronization is extended to dual combination-combination multi
switching synchronization involving eight chaotic systems and is a first of its
kind. Due to the multiple combination of chaotic systems and multi switching
the resultant dynamic behaviour is so complex that, in communication theory,
transmission and security of the resultant signal is more effective. Using
Lyapunov stability theory, sufficient conditions are achieved and suitable
controllers are designed to realise the desired synchronization. Corresponding
theoretical analysis is presented and numerical simulations performed to
demonstrate the effectiveness of the proposed scheme.