论文标题
关于$ c^1 $双曲线矢量场的线性化失败在维度
On the failure of linearization for germs of $C^1$ hyperbolic vector fields in dimension one
论文作者
论文摘要
我们研究了低规律性的原点双曲线1维载体场的结合类别。我们表明，在这种情况下，斯特恩伯格的经典线性化定理通过提供相同的乘数，在这种情况下强烈失败，在bi-lipschitz，$ c^1 $和$ c^{1+ac} $设置中都考虑了共轭。
We investigate conjugacy classes of germs of hyperbolic 1-dimensional vector fields at the origin in low regularity. We show that the classical linearization theorem of Sternberg strongly fails in this setting by providing explicit uncountable families of mutually non-conjugate flows with the same multipliers, where conjugacy is considered in the bi-Lipschitz, $C^1$ and $C^{1+ac}$ settings.
