Normalization flow in the presence of a resonance
- 作者: Treschev D.V.1
-
隶属关系:
- Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
- 期: 卷 89, 编号 1 (2025)
- 页面: 184-207
- 栏目: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/303941
- DOI: https://doi.org/10.4213/im9595
- ID: 303941
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详细
Following [18], we develop an approach to the Hamiltonian theory of normal forms based on continuous averaging. We concentrate on the case of normal forms near an elliptic singular point, but unlike [18] we do not assume that frequences of the linearized system are non-resonant. We study analytic properties of the normalization procedure. In particular, we show that in the case of a codimension one resonance an analytic Hamiltonian function may be reduced to a normal form up to an exponentially small reminder with explicit estimates of the reminder and the analyticity domain.
作者简介
Dmitry Treschev
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
编辑信件的主要联系方式.
Email: treschev@mi-ras.ru
Doctor of physico-mathematical sciences, Professor
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