Hartman线性化定理中共轭映射关于参数的连续依赖性

Continuous Dependence on Parameters of the Conjugacy in Hartman Linearization Theorem

为了解C2共轭映射关于参数的依赖性,首先研究正规形理论中共轭映射关于参数的连续依赖性.然后利用特殊的不动点定理,证明线性化理论中C2共轭映射关于参数具有连续依赖性,从而扩展前人的结论.

In order to find out about the parameter-related dependence of C2 conjugacy,the parameter-related continuous dependence of the conjugacy in normal norm theory is studied; then by use of the special fixed point theorem,it is proven that the parameter-related continuous dependence exists in C conjugacy in the linearization theory and the findings of our predecessors are further generalized.