动力系统规范形的几何
Geometry of Normal Forms for Dynamical Systems
摘要：
本文讨论了（Poincare '-Dulac）规范形向量场几何的几个方面.我们的讨论在很大程度上依赖于Michel理论，旨在通过基于某些群的作用的分裂来简化正规形的分析。的情况下，常见的物理学，系统享有先验对称性也进行了详细讨论。
英文摘要：
We discuss several aspects of the geometry of vector fields in (Poincare'-Dulac) normal form. Our discussion relies substantially on Michel theory and aims at a constructive approach to simplify the analysis of normal forms via a splitting based on the action of certain groups. The case, common in Physics, of systems enjoying an a priori symmetry is also discussed in some detail.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
