Abstract
This paper applies the center manifold theorem to reduce the
dimensions of the Qi three-dimensional system. Local bifurcation
phenomena are analyzed, including the pitchfork and Hopf bifurcations
of the chaotic system. The Poincaré map is also investigated. The
analyses demonstrate the rich dynamics of the Qi chaotic system.
Finally, the frequency spectral analysis shows that the system has a
broad frequency bandwidth, which is desirable for engineering
applications such as secure communications.