Abstract

In this paper, by combining full state hybrid projective synchronisation (FSHPS) and inverse full state hybrid projective synchronisation (IFSHPS), we generalize the idea of hybrid chaos synchronization in discrete-time. Based on stability theory of linear discrete-time systems and Lyapunov stability theory, new approaches are proposed to investigate the new type of hybrid synchronization between chaotic maps of different dimensions. Several numerical examples have highlighted the effectiveness of the novel approaches developed herein.

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