四川大学学报(自然科学版)
四川大學學報(自然科學版)
사천대학학보(자연과학판)
JOURNAL OF SICHUAN UNIVERSITY
2004年
3期
469-472
,共4页
Hiof分岔%Lyapunov-Schmidt约化%万有普适开折
Hiof分岔%Lyapunov-Schmidt約化%萬有普適開摺
Hiof분차%Lyapunov-Schmidt약화%만유보괄개절
Hopf bifurcation%Lyapunov-Schmidt reduction%universal unfolding
对经Lyapunov-Schmidt约化后所得分岔方程强Z2等价于某三个正规形的Hopf分岔问题给出了求解万有普适开折问题的代数条件.
對經Lyapunov-Schmidt約化後所得分岔方程彊Z2等價于某三箇正規形的Hopf分岔問題給齣瞭求解萬有普適開摺問題的代數條件.
대경Lyapunov-Schmidt약화후소득분차방정강Z2등개우모삼개정규형적Hopf분차문제급출료구해만유보괄개절문제적대수조건.
Algebraic conditions are given to solve the universal unfolding problem of Hopf bifurcation whose reduced bifurcation problem obtained by Lyapunov-Schmidt reduction is strongly Z2-equivalent to one of the 3 singularity theoretic canonical normal forms.