Non-stationary normal forms for contracting extensions

Autor:	Kalinin, Boris
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems 37D20 37D30 37C15 34C20
Druh dokumentu:	Working Paper
Popis:	We present the theory of non-stationary normal forms for uniformly contracting smooth extensions with sufficiently narrow Mather spectrum. We give coherent proofs of existence, (non)uniqueness, and a description of the centralizer results. As a corollary, we obtain corresponding results for normal forms along an invariant contracting foliation. The main improvements over the previous results in the narrow spectrum setting include explicit description of non-uniqueness and obtaining results in any regularity above the precise critical level, which is especially useful for the centralizer. In addition to sub-resonance normal form, we also prove corresponding results for resonance normal form, which is new in the narrow spectrum setting. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.12662 Zobrazit plný text záznamu View this record from Arxiv