This paper constructs a new hyperchaotic system based on Lü system by using a state feedback controller. The detailed dynamical behaviors of this hyperchaotic system are further investigated, including Lyapunov exponents spectrum, bifurcation, and Poincaré mapping. Moreover, a novel circuit diagram is designed for verifying the hyperchaotic behaviors and some experimental observations are also ...

Abstract. This paper investigates the modified projective synchronization (MPS) of a new hyperchaotic system. The different nonlinear feedback controllers are designed by an active control method for synchronization of two hyperchaotic systems with the same or different structures. In addition, the MPS of the new hyperchaotic system with unknown parameters including the unknown coefficients of ...

A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the tech...

In this paper, we get a time-delay new financial hyperchaotic system by modifying an old financial hyperchaotic system. we study the stability of a time-delay financial hyperchaotic system via adaptive periodically intermittent linear control method. Stability is obtained by using Lyapunov stability theorem, adaptive update laws and differential inequalities. Moreover, some numerical simulation...

This paper proposes a new four-dimensional hyperchaotic map based on the Rabinovich system to realize chaotic encryption in higher dimension and improve the security. The chaotic sequences generated by Runge-Kutta method are combined with the chaotic sequences generated by an exponential chaos map to generate key sequences. The key sequences are used for image encryption. The security test resu...

In this paper, a new hyperchaotic system is obtained by introducing an additional state, and adding two nonlinear terms of the original states and one linear term of the new state to the Chen chaotic system. Particular attention is given to globally exponential hyperchaos (time-delayed) synchronization and control for this hyperchaotic system. As a consequence, several families of control laws ...

In this paper, a new hyperchaotic system is constructed via state feedback control. Some basic dynamical properties are studied, such as continuous spectrum, Lyapunov exponents, fractal dimensions, strange attractor and bifurcation diagram of the new hyperchaotic system. In addition, adaptive controllers are designed for stabilizing hyperchaos to unstable equilibrium with the unknown parameters...

The Objective of the paper is to develop a new asymmetric hyperchaotic system with more complexity. The system has two dissimilar equilibrium points. Non-uniform contraction and expansion of volume in phase space is also an important property of the proposed system. A hyperchaotic system with above characteristics is first time reported here. Details theoretical and numerical analyses of the pr...