一类映射在双曲不动点附近的光滑共轭等价正规形
Keywords: 微分同胚,共轭等价,正规形,UR条件
Abstract:
考虑有限维线性空间中的一类局部微分同胚在双曲不动点O附近的光滑共轭等价问题.通过使用正规形方法证明了若局部微分同胚F(x)的Q射式中的p次多项式映射代表满足UR条件,则在双曲不动点O附近光滑共轭等价于映射DF(O)x,也就是说,DF(O)x是在双曲不动点处的光滑正规形.
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