Some new results for the smoothness of topological equivalence in uniformly asymptotically stable systems

Abstract

In this article we revisit a method of topological linearization for nonautonomous and uniformly asymptotically stable ordinary differential equations developed by Kenneth J. Palmer and Faxing Lin. In particular, sufficient conditions are obtained ensuring the smoothness of the above mentioned topological linearization.

Keywords

• nonautonomous ordinary differential equations
• uniform asymptotic stability
• topological equivalence
• diffeomorphisms