Resumen de Qualitative Analysis of the Nosé-Hoover Oscillator

Qianqian Han, Xiao-Song Yang

• In this paper, we analyze the qualitative behavior of the solution of the Nosé–Hoover oscillator which is a three-dimensional quadratic polynomial system. We show that every invariant set of the Nosé–Hoover oscillator is neither in the region of z>0 nor in the region of z<0, therefore passing through the plane of z=0.