In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to finite distance. The conjugations obtained retain the same spatial decay. In the presence of resonances the conjugations are to a polynomial normal form that also has decaying properties.

中文翻译：

---

无限维耦合图格的范式和Sternberg共轭定理

在本文中，我们提出了局部Sternberg共轭定理，这些定理在吸引晶格系统的不动点附近。相互作用在空间上是衰减的，并且不限于有限距离。获得的共轭保持相同的空间衰减。在存在共振的情况下，共轭为多项式正态形式，该形式也具有衰减特性。