In digital communications, fixed, chaotic, and random waveforms are used. Although the theory of fixed waveform communications is well established, its generalization to include chaotic and random carriers has not yet been carried out. The lack of an exact model prevents the optimization of chaotic and random communication systems. Introducing the Fourier analyzer concepts, this paper develops ...

A new adaptive control method is proposed for adaptive synchronization of two uncertain chaotic systems, using a specific uncertain unified chaotic model as an example for illustration. 2002 Elsevier Science Ltd. All rights reserved.

For a class of unified chaotic systems with parameter uncertainty, a robust impulsive synchronization scheme is proposed. Based on the theory of impulsive differential equations, some new and less conservative sufficient conditions are established in order to guarantee the robust synchronization of the chaotic systems. In particular, some simple and practical conditions are derived in synchroni...

This paper introduces the dynamical behaviors of a unified nonlinear chaotic system which describes a two-family chaotic system containing the original Lorenz and the original Chua systems as two extremes and some other systems as a transition in between via a new constructed joint function. This system can display two kinds of attractors, those with one scroll and those with two scrolls.

This paper proposes an adaptive methodology to estimate the unknown master system parameter and synchronize unified chaotic systems, even if bounded system disturbances are present. Based on both Lyapunov theory and Barbalat’s Lemma, a robust adaptive scheme is proposed to make the synchronization error asymptotically null. Simulation results are provided to demonstrate the effectiveness and fe...

This paper investigates the synchronization of two Newton-Leipnik Chaotic Systems. A new sufficient condition of global asymptotic synchronization is attained from the theory of stability of time-varying systems. In addition , compared with the previously proposed method , the sufficient condition for the synchronization of two linearly coupled unified chaotic systems is simpler and less conser...

the threshold of weak and strong synchronization in a coupled chaotic gaussian map isdemonstrated by using the pyragas’ terminology. however, vieira and lichtenberg have shown that thepyragas’ criteria for weak and strong synchronization cannot be used for all chaotic systems. in this articlewe demonstrated some interesting synchronization behavior of two coupled chaotic systems with some zeroa...