Associate professor
Supervisor of Master's Candidates
Hits:
Affiliation of Author(s):数学与统计学院
Teaching and Research Group:数学教研室
Journal:Journal of Mathematical Analysis and Applications
Funded by:国家自然科学基金项目
Key Words:Nonintegrability;Simple resonance;First integral;Poincaré–Dulac normal form
Abstract:In this paper, we consider the nonintegrability for nonlinear systems under the simple resonant case, i.e., the Jacobian matrix of vector field at some fixed point has some single multiply zero eigenvalues, and some nonzero eigenvalues which are N-independent. By using the Poincaré–Dulac normal form theory, we give a necessary condition for the system under consideration to have formal first integral.
First Author:liufang
Indexed by:Journal paper
Volume:363
Issue:1
Page Number:1
Number of Words:2
Translation or Not:no
Date of Publication:2010-03-01
