In this paper, we introduce a new hyperchaotic complex T-system. This system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, Lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. We discuss the synchronization with certain and uncerta...

In this study, a simple chaos communication system including modulation-demodulation circuits is studied. The influence of modulation-demodulation circuits to chaos synchronization is investigated. For the estimation of communication quality, bit error rate (BER) is calculated by computer simulation when a sequential random pulse information signal is transmitted via this proposed system. key w...

We present analytical and numerical calculations of dynamic magnetization states of a spin valve in the presence of dc and ac currents. Three distinct dynamic phases, synchronization, modification, and chaos, are identified within the experimental parameter space. A particularly interesting result is the appearance of the synchronization-chaos boundaries. In the region of synchronization, our r...

This paper presents a fuzzy controller to solve a master-slave chaos synchronization problem. At first, the method of traditional sliding mode control is considered, which utilizes the discontinuous sign function to make the system state reaching a sliding surface. Next, fuzzy rules are determined according to the Lyapunov theorem, and the fuzzy controller is designed for chaos synchronization....

Title of Dissertation: LOW DIMENSIONAL CHAOS: PHASE SYNCHRONIZATION AND INDETERMINATE BIFURCATIONS Romulus Breban, Doctor of Philosophy, 2003 Dissertation directed by: Professor Edward Ott Department of Physics We address two problems of both theoretical and practical importance in dynamical systems: Phase Synchronization of Chaos in the Presence of Two Competing Periodic Signals, and Saddle-No...

A communication scheme based on the synchronization of two chaotic semiconductor lasers is experimentally tested. The Chaos in the single-mode semiconductor lasers is generated by means of an optoelectronic feedback. Synchronization of the chaos is achieved by coupling a fraction of the transmitter’s output power into the driving current of the receiver. We present experimental results on the r...

Chaos synchronization in some dynamical systems is studied in a general case. We use the boundedness of some dynamical systems, nonreplica approach to chaos synchronization and Routh-Hurwitz criteria to propose a simple method to make negative all the conditional Lyapunov exponents. The method is tested on the classical Lorenz model and one of Rossler models. Generalization of some features of ...

Chaos, control, anticontrol and synchronization of chaos for an autonomous rotational machine system with a hexagonal centrifugal governor and spring for which time-delay effect is considered are studied in the paper. By applying numerical results, phase diagram and power spectrum are presented to observe periodic and chaotic motions. Linear feedback control and adaptive control algorithm are u...

This research work investigates the global chaos synchronization of identical chaotic systems based on sliding mode control theory and Lyapunov stability theory. The paper begins with a problem statement on global chaos synchronization of chaotic systems. A general result is derived for the global chaos synchronization of chaotic systems using slide mode control and this result is established u...

This paper derives new results for the design of sliding mode controller for the global chaos synchronization of identical Coullet systems (1981). The synchronizer results derived in this paper for the complete chaos synchronization of identical hyperchaotic systems are established using sliding control theory and Lyapunov stability theory. Since the Lyapunov exponents are not required for thes...