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Nonexistence of Laurent Polynomial First Integrals for Periodic Systems

JIAO Jia1, FU Miaomiao2, MA Yong3   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Department of Mathematics, Changchun Normal University, Changchun 130032, China;3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-07-07 Revised:1900-01-01 Online:2009-01-26 Published:2009-01-26
  • Contact: JIAO Jia

Abstract: We considered the nonexistence of Laurent polynomial first integrals for periodic system. Using the Floquet theory, we have prov ed that if the characteristic multipliers of the system are Zindependent, then the syst em does not have any nontrivial Laurent first integral in a neighborhood of a constant solution.

Key words: Laurent polynomial, first integral, Floquet theory

CLC Number: 

  • O175