The Geometrical Demonstration of the Order of Resonant Saddle Points in C2

• Wu, Hao ^[1] ; Xu Shoujun ^[1]
  1. [1] Southeast University

     Southeast University

     China

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

  • Here we investigate the Minkowski box dimension of complex integral curves of the vector fields near resonant saddles in C2. The results provide the geometrical explanation of the order of the saddle points and a quantitative description for the non-integrability via monodromy.