Hyperchaos synchronization and control on a new hyperchaotic attractor

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 are designed to achieve globally exponential hyperchaos (time-delayed) synchronization, and globally exponential hyperchaos (without time delay) synchronization. The principle of synchronization is used to globally and exponentially stabilize the equilibrium points of the hyperchaotic system. Numerical simulation results are presented to illustrate the theoretical predictions.