摘要
讨论含约束非线性动力系统分岔的分类· 研究表明 ,约束分岔的转迁集 ,除分岔集、滞后集和双极限点集外 。
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2002年第5期477-482,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 (重大 19990 5 10 )
国家重点基础研究专项经费资助项目(G19980 2 0 316)
关键词
约束
分岔
奇异性
非线性动力系统
constraint
bifurcation
singularity
nonlinear dynamical problem
