in this paper, the synchronization of a new hyperchaotic complex system based on t-s fuzzy model is proposed. first the considered hyperchaotic system is represented by t-s fuzzy model equivalently. then by using the parallel distributed compensation (pdc) method and by applying linear system theory and exact linearization (el) technique, a fuzzy controller is designed to realize the synchroniz...

In this paper, the synchronization of a new hyperchaotic complex system based on T-S fuzzy model is proposed. First, the considered hyperchaotic system is represented by T-S fuzzy model equivalently. Then, by using the parallel distributed compensation (PDC) method and by applying linear system theory and exact linearization (EL) technique, a fuzzy controller is designed to realize the synchron...

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 the present study, a new modelling technique was developed for the modelling and analysis of hyperchaotic systems using an expert system based on wavelet decompositions and the adaptive neuro-fuzzy inference system (anfis). the success and superior properties of this new expert system were shown by applying the hyperchaotic chen system which is a hyperchaotic system. the obtained expert s...

The aim of this paper is to introduce a new hyperchaotic complex Lorenz system. This hyperchaotic complex system is constructed by adding a linear controller to the second equation of the chaotic complex Lorenz system. The new system is a 7-dimensional continuous real autonomous hyperchaotic system. This system has hyperchaotic attractors and quasi-periodic solutions with three zero Lyapunov ex...

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 paper, an optimal adaptive sliding mode controller is proposed for anti-synchronization of two identical hyperchaotic systems. We use hyperchaotic complex T-system for master and slave systems with unknown parameters in the slave system. To construct the optimal adaptive sliding mode controller, first a simple sliding surface is designed. Then, the optimal adaptive sliding mode controll...

Abstract The chaotic system plays an important role in information communication, electrical equipment, computer cryptography and so on. In this paper, four new high-dimensional complex hyperchaotic systems are found. A new overlaying regularity to generate a new high-dimensional complex hyperchaotic system is found by overlaying a series of low-dimensional chaotic system with the Duffing chaot...

In this paper, we investigate the combination synchronization of three nonlinear complex hyperchaotic systems: the complex hyperchaotic Lorenz system, the complex hyperchaotic Chen system and the complex hyperchaotic Lü system. Based on the Lyapunov stability theory, corresponding controllers to achieve combination synchronization among three identical or different nonlinear complex hyperchaoti...

In this paper we described the process of generating a high-dimensional hyperchaos in signal communication and computer chaotic encryption. We found out four new high-dimensional complex hyperchaotic systems and three regular ways to generate highdimensional hyperchaotic systems. Then we revealed the relationship between the low-dimensional chaos and highdimensional hyperchaos and studied the f...