Switched Dual Compound–Compound Anti-synchronization of Hyperchaotic Dynamical Systems

A new switched anti-synchronization scheme involving twelve hyperchaotic dynamical systems is proposed in this paper. In this scheme, anti-synchronization has been achieved for six pairs of hyperchaotic systems where first five pairs are taken as pairs of drive systems and the last pair is taken as pair of response systems. This synchronization scheme is constructed by using dual synchronization and compound–compound synchronization in a switched manner. In the existing dual compound–compound synchronization scheme, synchronization has been achieved for six pairs of chaotic systems without any switching effect while in this novel scheme, dual compound–compound anti-synchronization is accomplished with multi-switching (switched) phenomenon for twelve hyperchaotic dynamical systems. Many existing synchronization schemes are particular cases of the proposed scheme. The nonlinear control method and Lyapunov stability criteria have been used to achieve asymptotically stable synchronization states. An example of six pairs of hyperchaotic systems is considered to verify the scheme where hyperchaotic Pang-Liu system is the first system and hyperchaotic Chen system is the second system in each pair. Numerical results and mathematical analysis are in good agreement. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.