Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (5): 535-541.

• 论文 • 上一篇    下一篇

CLASSIFICATION OF BIFURCATIONS FOR NONLINEAR DYNAMICAL PROBLEMS WITH CONSTRAINTS

吴志强, 陈予恕   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:2001-06-22 修回日期:2002-01-28 出版日期:2002-05-18 发布日期:2002-05-18
  • 基金资助:
    the National Natural Science Foundation of China(19990510)and by the National Key Basic Special Fund(G199802316)and by Doctoral Point Fund(D09901)

CLASSIFICATION OF BIFURCATIONS FOR NONLINEAR DYNAMICAL PROBLEMS WITH CONSTRAINTS

WU Zhi-qiang, CHEN Yu-shu   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Received:2001-06-22 Revised:2002-01-28 Online:2002-05-18 Published:2002-05-18
  • Supported by:
    the National Natural Science Foundation of China(19990510)and by the National Key Basic Special Fund(G199802316)and by Doctoral Point Fund(D09901)

摘要: Bifurcation of periodic solutions widely existed in nonlinear dynamical systems is a kind of constrained one in intrinsic quality because its amplitude is always non-negative. Classification of the bifurcations with the type of constraint was discussed. All its six types of transition sets are derived, in which three types are newly found and a method is proposed for analyzing the constrained bifurcation.

Abstract: Bifurcation of periodic solutions widely existed in nonlinear dynamical systems is a kind of constrained one in intrinsic quality because its amplitude is always non-negative. Classification of the bifurcations with the type of constraint was discussed. All its six types of transition sets are derived, in which three types are newly found and a method is proposed for analyzing the constrained bifurcation.

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