INITIAL RECTIFIED ATTRACTORS FOR PERFECT GS AND Q-S SYNCHRONIZATION OF CHAOTIC SYSTEMS

Abstract

The controlled attractor with initial rectifying action, referred to as initial rectified attractor (IRA) in this paper, is introduced for the purpose of generalized and Q-S chaos synchronization. The IRA is designed to make the states of drive and response systems synchronized in the form of generalized and Q-S within a finite time interval. The reaching time is shown to be independent of the initial conditions and dynamics of the chaotic systems, and can be determined in advance. With numerical experiments it is demonstrated that perfect synchronization can be achieved between the modified Lorenz and the hyperchaotic Rössler systems in different configurations.