J4

• 数学 • Previous Articles     Next Articles

Nonintegrability for Diffeomorphisms

WANG Bingjie1, XU Zhiguo2   

  1. 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-01-09 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
  • Contact: WANG Bingjie

Abstract: The aim of this paper is to study the nonintegrability for diffeomorphisms. We first gave a necessary condition for diffeomorphisms to have formal first integrals. Furthermore, we gave a necessary condition for diffeomorphismsto have formal first integrals in the simple resonance cases.

Key words: diffeomorphisms, first integral, nonintegrability, resonance

CLC Number: 

  • O193