论文标题
非自主系统的多尺度线性化
Multiscale linearization of nonautonomous systems
论文作者
论文摘要
我们呈现给定的线性非自主系统及其非线性扰动的足够条件在拓扑结合上。我们的条件是一种非常通用的形式，只要非线性扰动是良好的，我们不假定线性系统的任何渐近行为。此外，对非线性扰动的控制可能会在有限的许多相互互补方向上有所不同。我们考虑单方面离散和连续动态的情况。
We present sufficient conditions under which a given linear nonautonomous system and its nonlinear perturbation are topologically conjugated. Our conditions are of a very general form and provided that the nonlinear perturbations are well-behaved, we do not assume any asymptotic behaviour of the linear system. Moreover, the control on the nonlinear perturbations may differ along finitely many mutually complementary directions. We consider both the cases of one-sided discrete and continuous dynamics.
