Control of continuous-time chaotic (hyperchaotic) systems: F-M synchronisation

In this paper, a new type of chaos synchronisation between different dimensional chaotic systems is proposed. The novel scheme is called F-M synchronisation, since it combines the inverse generalised synchronisation with the matrix projective synchronisation. In particular, the proposed approach enables F-M synchronisation to be achieved between n-dimensional master system and m-dimensional slave system in different dimensions. The technique, which exploits nonlinear controllers, stability property of integer-order linear continuous-time dynamical systems and Lyapunov stability theory, proves to be effective in achieving the F-M synchronisation. Finally, simulation results are reported, with the aim to illustrate the capabilities of the novel scheme proposed herein.