分支问题开折的强(r,s)稳定性与弱(r,s)稳定性  

Strongly(r,s)-Stability and Weakly(r,s)-Stability of Unfoldings of Bifurcation Problem

作　　者：刘恒兴[1] 栾静闻[1] 

机构地区：[1]武汉大学基础数学系,430072

出　　处：《数学物理学报（A辑）》2001年第3期355-363,共9页Acta Mathematica Scientia

摘　　要：该文讨论了分支问题开折的强 ( r,s) -稳定性及弱 ( r,s) -稳定性 ,并给出了 ( r,s) -无穷小稳定性、强 ( r,s) -稳定性及弱 ( r,s)We define strongly (r,s) stability and weakly (r,s) stability of unfoldings of bifurcation problems. And give equivalence of (r,s) infinitesimally stability, strongly (r,s) stability and weakly (r,s) stability.

关 键 词：分支问题 强(r s)-稳定性 弱(r s)-稳定性 开折 光滑映射 (r s)-无穷小稳定性 Nakayama引理 

分 类 号：O175.2[理学—数学]