Qualitative Analysis of the Nosé-Hoover Oscillator

• Han Qianqian ^[1] ; Xiao-Song, Yang ^[1]
  1. [1] Huazhong University of Science and Technology

     Huazhong University of Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 1, 2020
• Idioma: inglés
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• Resumen

  • 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.