A novel four-dimensional hyperchaotic system is reported. The phase diagram

bifurcation diagram and Lyapunov exponents spectrum diagram of the system are analyzed by means of numerical simulations. Results show the new system takes on periodic

quasi-periodic and hyperchaotic dynamical behaviors as the new introduced parameter varies. And the range of hyperchaos is wider. Based on the Lyapunov stability theorem

a linear pinning controller is designed to achieve the synchronization of the new hyperchaotic system. Results demonstrate that the method is correct and effective.