Dynamics and synchronization of a typical complex hyperchaotic systems

The brief paper considers dynamics and synchronization of a typical complex hyperchaotic system. Some basic dynamical properties, including symmetry, dissipation and stability of the complex systems as well as its Lyapunov exponents are discussed. It is shown that such a complex systems can exhibit the typical hyperchaotic behavior. Furthermore, a simple yet generic criteria for hyperchaotic synchronization of complex systems is derived based on the linear feedback control schemes. To this end, simulation results are presented that are consistent with our theoretical results.