Normalization flow in the presence of a resonance
- Авторы: Трещев Д.В.1
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Учреждения:
- Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
- Выпуск: Том 89, № 1 (2025)
- Страницы: 184-207
- Раздел: Статьи
- URL: https://bakhtiniada.ru/1607-0046/article/view/303941
- DOI: https://doi.org/10.4213/im9595
- ID: 303941
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Аннотация
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.Bibliography: 20 titles.
Об авторах
Дмитрий Валерьевич Трещев
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Автор, ответственный за переписку.
Email: treschev@mi-ras.ru
доктор физико-математических наук, профессор
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