Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (5): 449-461.

• 论文 • 上一篇    下一篇

ADJOINT OPERATOR METHOD AND NORMAL FORMS OF HIGHER ORDER FOR NONLINEAR DYNAMICAL SYSTEM

张伟, 陈予恕   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:1996-03-06 出版日期:1997-05-18 发布日期:1997-05-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

ADJOINT OPERATOR METHOD AND NORMAL FORMS OF HIGHER ORDER FOR NONLINEAR DYNAMICAL SYSTEM

Zhang Wei, Chen Yushu   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Received:1996-03-06 Online:1997-05-18 Published:1997-05-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

摘要: Normal form theory is, a very effective method when we study degeneratebifurcations of nonlinear dynamical systems. In this paper by using adjoint operatormethod, normal forms of order 3 and 4 for nonlinear dynamical system with nilpotentlinear part and Z2-asymmetry are computed. According to normal forms obtained,universal unfoldings for some degenerate bifurcation cases of codimension 3 and simpleglobal characterizations, are studied.

Abstract: Normal form theory is, a very effective method when we study degeneratebifurcations of nonlinear dynamical systems. In this paper by using adjoint operatormethod, normal forms of order 3 and 4 for nonlinear dynamical system with nilpotentlinear part and Z2-asymmetry are computed. According to normal forms obtained,universal unfoldings for some degenerate bifurcation cases of codimension 3 and simpleglobal characterizations, are studied.

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals