Stability and bifurcation of pan chaotic system by using Routh–Hurwitz and Gardan methods

In this paper, a new three dimensional pan chaotic system is reported. Dynamical behaviors of the new system are analyzed, both theoretically and numerically, including some basic dynamical properties, stability and Hopf bifurcation. The stability and Hopf bifurcation are investigated by Routh–Hurwitz method and Cardan method; stability analysis shows that both methods justified the same results. Finally, an illustrative example is given.