1) Lyapunov-Schmidt reduction
Lyapunov-Schmidt约化
2) normalized Lyapunov-Schmidt reduction method
规范化Lyapunov-Schmidt约化方法
1.
With the spectrum theory of linear completely continuous fields and normalized Lyapunov-Schmidt reduction method,the exsitence of regualr bifurcated solutions from a second order nondegenerate singular point raised from the given reaction-diffusion equations are investigated.
应用线性全连续场谱定理和规范化Lyapunov-Schmidt约化方法,研究了一类反应扩散方程正则分歧解的存在性,给出了在二阶非退化奇点处正则分歧解个数的精确判据,同时给出了正则分歧解的公式。
3) Liapunov-Schmidt reduction
Liapunov-Schmidt约化
1.
Using the Liapunov-Schmidt reduction and the symmetry-breaking bifurcation theories,we compute and visualize the D4-symmetric positive solutions of the boundary value problem of the Chandrasekhar equation on the unit square of the plane.
运用Liapunov-Schmidt约化和对称破缺分歧的方法,计算了正方形区域上Chan-drasekhar方程边值问题的D4对称的正解。
2.
Using the Liapunov-Schmidt reduction,we investigate the Hopf bifurcation of a class of delayed differential equations.
应用Liapunov-Schmidt约化方法,研究了一类滞时微分方程的Hopf分歧问题,在Hopf分歧点的附近,给出了周期解枝的近似解析表达式,同时用Liapunov-Schmidt约化方法结合分片Hermite插值多项式的配王法求解了Hopf分歧点附近的周期解枝,发现理论分析结果和数值结果吻合,证实了用Liapunov-Schmidt约化方法求解滞时微分方程周期解的有效性与可行性。
5) Lyapunov-Schmidt procedure
Lyapunov-Schmidt过程
6) Lyapunov-Schmidt reduction method
"Lyapunov-Schmidt reduction"方法
补充资料：公理化方法(见公理化和形式化)
公理化方法(见公理化和形式化)
axiomatical method
gongllbuafangfa公理化方法化和形式化。(axiomatieal method)见公理
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条