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Special Issue: On the 80th birthday of professor A. Chenciner
The Siegel – Bruno Linearization Theorem
Patrick Bernard PSL Research University, Université Paris-Dauphine,
CEREMADE (UMR CNRS 7534), 75775 PARIS CEDEX 16, France
Аннотация:
The purpose of this paper is a pedagogical one. We provide a short and self-
contained account of Siegel’s theorem, as improved by Bruno, which states that a holomorphic
map of the complex plane can be locally linearized near a fixed point under certain conditions
on the multiplier. The main proof is adapted from Bruno’s work.
Ключевые слова:
linearization, normal forms.
Поступила в редакцию: 25.02.2023 Принята в печать: 07.09.2023
Образец цитирования:
Patrick Bernard, “The Siegel – Bruno Linearization Theorem”, Regul. Chaotic Dyn., 28:4-5 (2023), 756–762
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1231 https://www.mathnet.ru/rus/rcd/v28/i4/p756
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