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中文摘要：
约束边界与分岔参数有关的约束分岔问题，称为约束含参分岔问题．通过引入适当的变换，将约束含参分岔问题转化为新变量的非约束分岔问题，推导出了约束含参分岔问题转迁集的一般形式，结果表明只有约束分岔集受约束含参的影响，其它转迁集与不含参约束分岔的转迁集相同．以含参约束树枝分岔为例分析了此类问题的分岔分类，讨论了约束含参对分岔分类的影响．
英文摘要：
If the constraint＇ s boundary relates to the bifurcation parameter, a bifurcation is called parametric constrained one. Relying upon some substitution, parametric constrained bifurcation was transformed to unconstrained bifurcation about new variables. Then general form of transition sets of the parametric constrained bifurcation was derived. The result indicates that only constrained bifurcation set is influenced by parametric constraints, other transition sets are the same as those of the nonparametric constrained bifurcation. Taking parametric constrained pitchfork bifurcation problems as examples, effects of parametric constraints on bifurcation classification were discussed further in detail.
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