Synchronisation of chaotic systems is an important research problem in chaos theory. In this research work, a novel sliding mode control method is proposed for the global chaos synchronisation of identical chaotic systems. The general result derived using novel sliding mode control method is established using Lyapunov stability theory. As an application of the general result, the problem of glo...

Chaos control is of vital importance in the fields of chaos application. To avoid too much artificial control factors, by transforming problems related to chaos system into those of different functions’ optimizations, a novel application through particle swarm optimization simulating the swarm intelligence is proposed. It makes the processes of tracing unstable periodic orbits, directing and mu...

Results of recent theoretical investigations highlighted that the use of chaos in DS-CDMA systems may lead to non-negligible improvements in communication quality for several scenarios. We here briefly review the main steps in this derivation and report the corresponding theoretical prediction. In particular we show that the use of the so-called statistical approach to the study of a chaotic dy...

In this paper, based on a generalized Lyapunov function, a simple proof is given to improve the estimation of globally attractive and positive invariant set of the Lorenz system. In particular, a new estimation is derived for the variable x. On the globally attractive set, the Lorenz system satisfies Lipschitz condition, which is very useful in the study of chaos control and chaos synchronizati...

In this work, we study chaos control and synchronization of the commensurate fractional order Liu system. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate fractional order systems are discussed. The existence and uniqueness of solutions for a class of commensurate fractional order Liu systems are investigate...

Controlling the directionality of emitted far-field thermal radiation is a fundamental challenge in contemporary photonics and materials research. While photonic strategies have enabled angular selectivity emission over narrow sets bandwidths, inherently broadband phenomenon. We currently lack ability to constrain arbitrary ranges broad bandwidths. Here, we introduce experimentally realize grad...

This work presents an application of the previously proposed Support Vector Machines Based Generalized Predictive Control (SVM-Based GPC) method [1] to the problem of controlling chaotic dynamics with small parameter perturbations. The Generalized Predictive Control (GPC) method, which is included in the class of Model Predictive Control, necessitates an accurate model of the plant that plays v...

Information networks are an important infrastructure and their resources are shared by many users. In order to utilize their resources efficiently, they should be controlled to prevent synchronization of user traffic. In addition, fairness among users must be assured. This paper discusses the framework of transmission rate control based on chaos. There are two different characteristics that coe...