Based on the notion of generalized exponential dichotomy, this paper considers the topological decoupling problem between two kinds of nonlinear differential equations. The topological equivalent function is given.
Xiaodan Chen. Yonghui Xia. "Topological Conjugacy between Two Kinds of Nonlinear Differential Equations via Generalized Exponential Dichotomy." Int. J. Differ. Equ. 2011 (SI2) 1 - 11, 2011. https://doi.org/10.1155/2011/871574