Normal Forms for Difference and Differential Systems

• Ren, Zhihua ^[1] ; Liu, Meijia ^[1] ; Wu, Hao ^[2]
  1. [1] Beijing University of Technology

     Beijing University of Technology

     China

     
  2. [2] Southeast University

     Southeast University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 2, 2022
• Idioma: inglés
• DOI: 10.1007/s12346-022-00560-7
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we investigate parameterized difference systems, which can yield normal forms of vector fields and diffeomorphisms together. Using it, the normal forms of periodic difference and differential systems can be achieved uniformly.

• Referencias bibliográficas
  • 1. Chow, S.N., Li, C., Wang, D.: Normal Forms and Bifurcation of Planar Vector Fields. Cambridge University Press, Cambridge (1994)
  • 2. Elaydi, S.: An Introduction to Difference Equations. Undergrad. Texts Math, 3rd edn. Springer, New York (2005)
  • 3. Il’yashenko, Yu., Yakovenko, S.: Lectures on Analytic Differential Equations. American Mathematical Society, Providence (2007)
  • 4. Li, W.: Normal Form Theory and Applications. Science Press, Beijing (2000)