Abstract

In this paper, a new type of anti-synchronization called adaptive modified function projective anti- synchronization was presented. In this study, state variables of drive system would be anti-synchronized with state variables of response system up to desired scale function matrix. The adaptive control law and the parameter updates were determined to make the states of two Lorenz systems modified function projective anti-synchronized by using Lyapunov stability theory. Numerical simulations were presented to verify the effectiveness of this control method.

Key words: Anti-synchronization, chaotic system, adaptive control, modified projective synchronization.