光滑拓扑等价下的非一致压缩和密度稳定性
Nonuniform contractions and density stability results via a smooth topological equivalence
摘要：
当线性系在射线上具有非一致收缩时，研究了Hartman-Grobman定理的全局非自治形式的光滑性和保向性.非一致收缩意味着线性系存在一个密度函数（\emph{i.e}，一种对偶类型的李雅普诺夫函数），结合上述的非线性同态，我们可以构造出非线性系统的密度函数.
英文摘要：
We study the smoothness and preserving orientation properties of a global and nonautonomous version of the Hartman--Grobman Theorem when the linear system has a nonuniform contraction on the half line. The nonuniform contraction implies the existence of a density function (\emph{i.e} a dual type of Lyapunov function) for the linear system which combined with the above diffeomorphism allow us to construct a density function for the nonlinear system.
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