非线性算子方程f(x,λ)=(x_1x_2~2+λx_2+λ~4,-x^2_1-x_2)~T=0在原点附近的分岔问题  

Bifurcation Problem of Nonlinear Operator Equation f(x,λ)=(x _1x _ 2 ~2 +λx_ 2+λ ~4,-x _1~ 2-x _2) ~T=0 near the Origin

作　　者：徐千里[1] 

机构地区：[1]益阳师范高等专科学校数学系,湖南益阳413049

出　　处：《益阳师专学报》2000年第6期7-10,共4页Journal of Yiyang Teachers College

摘　　要：利用LS简约和Newton图研究了非线性方程 f(x ,λ) =(x1x22 +λx2 +λ4 ,-x21-x2 ) T =0 在原点附近的分岔现象 ,得到了从平衡点分枝出来的全部实的三个解枝 .Bifurcation phenomenon of the nonlinear equation f(x,λ)=(x 1x 2 2+λx 2+λ 4,-x 2 1-x 2) T=0 near the origin is studied by using LS reduction and Newton′s diagram,three branches bifur cating equilibrium point is obtained.

关 键 词：LS简约 Newton图 平衡点分岔 解枝 非线性算子方 

分 类 号：O177.91[理学—数学]