Continuous Dependence on Parameters of the Conjugacy in Hartman Linearization Theorem

In order tofind 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 predeces- sors are further generalized.