Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms |
| |
Authors: | Zhihua Ren Zhaoxia Peng |
| |
Affiliation: | 1. College of Applied Sciences , Beijing University of Technology , Beijing , China;2. LAGIS , UMR 8219 CNRS, Ecole Centrale de Lille, Villeneuve d’Ascq , 59651 , France |
| |
Abstract: | In this paper, we study the smooth classifications of germs of diffeomorphisms near a hyperbolic fixed point based on the smooth moduli-free polynomial normal forms of the corresponding diffeomorphisms and give the following result. On ![/></span>, <i>n</i> ≤ 5, with two kinds of exceptions, any two hyperbolic germs of diffeomorphisms with generic nonlinear parts are at least <i>C</i> <sup>1</sup> conjugated if and only if their linear parts are similar.</td>
</tr>
<tr>
<td align=](/na101/home/literatum/publisher/tandf/journals/content/cdss20/2013/cdss20.v028.i02/14689367.2013.781994/20130715/images/medium/cdss_a_781994_o_ilm0001.gif) | |
Keywords: | smooth conjugacy moduli-free normal form hyperbolic fixed point |
|
|