Q–S synchronization between chaotic systems with double scaling functions

A double function Q–S synchronization (DFQSS) scheme of non-identical chaotic systems is proposed and analyzed with the assumption that all of the parameters are unknown. The sufficient conditions for achieving the double function Q–S synchronization with the desired scaling functions of two different chaotic systems (including the systems of non-identical dimension) are derived based on Lyapunov stability theory. By the adaptive control technique, the control laws and the corresponding parameter update laws are presented such that the DFQSS of non-identical chaotic systems is to be achieved. Numerical simulations and a brief discussion conclude the paper.