NEW BIFURCATION PATTERNS IN ELEMENTARY BIFURCATION PROBLEMS WITH SINGLE-SIDE CON

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NEW BIFURCATION PATTERNS IN ELEMENTARY BIFURCATION PROBLEMS WITH SINGLE-SIDE CONSTRAINT

Bifurcations with constraints are open problems appeared in research on periodic bifurcations of nonlinear dynamical systems, but the present singularity theory doesn't contain any analytical methods and results about it. As the complement to singularity theory and the first step to study on constrained bifurcations, here are given the transition sets and persistent perturbed bifurcation diagrams of 10 elementary bifurcation of codimension no more than three.

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作 者: 吴志强 陈予恕  
作者单位:Department of Mechanics, Tianjin University, Tianjin 300072, P R China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(11) 
分类号:O523 
关键词:constraint   singularity theory   bifurcation  
机标关键词:singularity theorynonlinear dynamical systemselementary bifurcationanalytical methods 
基金项目:国家自然科学基金,National Key Basic Special Fund,国家博士基金 
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