This paper derives new results for the hybrid synchronization of identical hyperchaotic Liu systems (Liu, Liu and Zhang, 2008) via sliding mode control. In hybrid synchronization of master and slave systems, the odd states of the two systems are completely synchronized, while their even states are antisynchronized. The stability results derived in this paper for the hybrid synchronization of id...

In this paper identical and generalized synchronization and the complex dynamics of hyperchaotic circuits are exploited for designing reliable cryptosystems. Since chaotic additive masking, chaotic switching and chaotic parameter modulation methods can have a low degree of security, an attempt to overcome this drawback is made by utilizing hyperchaotic circuits which make available several chao...

An analysis is made of the hyperchaotic behaviour of a triple plane pendulum. It is shown that there are only eight physically distinct equilibrium configurations for the pendulum and that the types of eigen solutions obtained, for the Jacobian matrix evaluated at each equilibrium configuration, are independent of the system parameters. A new method for extracting the periodic orbits of the sys...

With the swift advancement of chaos theory, modeling, chaotic oscillations, and engineering applications hyperchaotic systems are important topics in research. In this research paper, we elucidate our findings a new four-dimensional two-scroll system having only two quadratic nonlinearities carry out detailed bifurcation study proposed dynamical model. Also, an electronic circuit has been const...

In this paper, a family of novel chaotic and hyperchaotic attractors are constructed utilizing a first-order delay differential equation (DDE). Dynamical analysis exhibits that Hopf bifurcation occurs at the non-trivial equilibrium points of the system when the time delay is properly selected. Bifurcation diagram and Lyapunov spectra further verify that the system behaves alternately in chaotic...

This paper presents an interesting issue of using hybrid dynamical system to chaos synchronization and its application in secure communication using a new 5D hyperchaotic systems. The slave system is modeled by an unknown input observer, in which the unknown input issued from the hybrid system is the transmitted information. Based on the descriptor observer design, the Lyapunov stability theory...