Chaotic signals produced by nonlinear systems can be used for encrypting the transmitting messages in secure communications. Synchronization of chaotic systems has an important role in this field of science. Figure 1 shows how chaotic signals and chaos synchronization are utilized for secure communication. The message is a signal that should be transferred in a secure encrypted form. Using two ...

In this paper, an finite-time synchronization controller is proposed for the general chaos model. Compared to other results, the controller designed is simpler and independent on the nonlinear function of chaos system. So the finite-time control scheme can be used in a wide range of chaos system. The simulation results are given to illustrate the effectiveness of the finite-time controller and ...

We present the first report on chaos synchronization between two unidirectionally linearly and non-linearly coupled systems with multiple time-delays and using the Razumikhin-Lyapunov approach find the existence and stability conditions for different synchronization regimes. The approach is tested on the famous nonlinear models-Ikeda, Mackey-Glass and Lang-Kobayashi systems.There is continued g...

Chaos synchronization using a continuous chaos control method was studied in two identical chaotic laser systems consisting of semiconductor lasers and optical feedback from an external mirror. Numerical calculations for rate equations indicate that the stability of chaos synchronization depends significantly on the external mirror position. We performed a linear stability analysis for the rate...

In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numeri...

An experimental study of physical realization to encrypt private information using chaotic cryptosystems is presented. In particular, we use chaos synchronization and a complex encryption function to hide the messages. In both cryptosystems; encryption and synchronization are completely separated with no interference between them. We apply this approach to encrypt private analog and binary info...

This paper focuses on chaos synchronization. The history of this famous problem is traced from an automatic control point of view. First, it is recalled the two synchronization schemes introduced by Pecora and Carroll in 1990 called heterogeneous and homogeneous driving. Then, it is described how chaos synchronization has turned into an observer design problem during the years 1997s. Finally, t...

We present a method for synchronization of chaos generators based on transmission of an analog chaotic waveform in a digital form. Experimental comparisons between digital and analog transmission of chaos from a delayed differential feedback system are performed. Synchronization is demonstrated to be between 18 and 39 dB (or equivalently 63 to 7943 times) better for digital transmission than an...

Abstract: By using a linear feedback control technique, we propose a chaos synchronization scheme for nonlinear fractional discrete dynamical systems. Then, we construct a novel 1-D fractional discrete income change system and a kind of novel 3-D fractional discrete system. By means of the stability principles of Caputo-like fractional discrete systems, we lastly design a controller to achieve ...

In this paper, the performance of some communication systems using chaos synchronization is evaluated and compared. A new channel model taking the attenuation, impedance mismatch and noise into account, is proposed for the performance evaluation. The evaluation of bit error rate is done for both ideal and non-ideal conditions using the channel model. It is confirmed that some chaos-based commun...