Topological Classifications for a Class of 2-dimensional Quadratic Mappings and an Application to Iterative Roots

• Yu, Zhiheng ^[1] ; Li, Lin ^[2] ; Liu, Lingling ^[3]
  1. [1] Southwest Jiaotong University

     Southwest Jiaotong University

     China

     
  2. [2] Jiaxing University

     Jiaxing University

     China

     
  3. [3] Southwest Petroleum University

     Southwest Petroleum University

     China

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 1, 2021
• Idioma: inglés
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• Resumen

  • Usually, it is difficult to find a topological relation among high dimensional mappings because of the complexity of existence conditions for conjugacies. In this paper, we investigate the conjugation for a class of 2-dimensional quadratic mappings via the theory of polynomial algebra. Two kinds of conjugate classifications are given. Finally, an application to the problem of iterative roots is also presented.