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The two-parameter unfoldings of local dynamical behavior,near the point of Hopf-Hopf bifurcation, is investigated theoretically.
理论分析了四维范式映射在Hopf-Hopf余维二分岔点附近的参数开折。
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Finally we study universal unfoldings correspondingto normal forms for the degenerate bifurcations of codimension two,codimension threeand codimension four.
最后研究了余维2退化、余维3退化和余维4退化分岔情况下相应规范形的普适开折。
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In this paper transversality idea from singularity theory is applied to discuss the classification of unfoldings of bifurcation problem s.
利用奇点理论中的横切性思想讨论分支问题开折的分类问题,给出了两个开折同构的一个充要条件。
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Moreover, the stability of unfoldings of such kind of bifurcation problems is discussed, and the sufficient condition of an unfolding of a bifurcation problem to be stable is that it is versal unfolding under certain conditions.
得到的这种分歧问题的无穷小稳定与稳定是等价的,而且讨论了这种分歧问题开折的稳定性,得到了一定条件下分歧问题开折稳定的充分必要条件为该开折是通用开折。
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Bulajich and other scholars studied versal unfoldings of relative maps with relative strong-A equivalence.
Bulajich等学者建立了一种条件较强的相对A等价关系,研究相对映射芽的通用开折的性质。
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