Solution with Movable Singular Points of Some Hamiltonian System
Solution with Movable Singular Points of Some Hamiltonian System
复制标题
某哈密顿系统的动奇异点解
DOI：
10.1090/conm/782/15730
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发表时间：
2023
期刊：
影响因子：
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通讯作者：
Masafumi Yoshino
中科院分区：
文献类型：
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作者：
川下美潮 川下和日子;Jiro Akahori;Masafumi Yoshino
本文研究了哈密顿系统解的可动奇点，哈密顿量H:= H0+ H1。这里H0是可积的，并且H0的哈密顿系统有奇异解v，而H1是扰动。对于在包含 v 趋于无穷大的轨道的相空间域中定义的某个变换 F，H 的奇异解给出为 F (v)。映射 F 由同调方程通过全局 Borel 可求和性给出。
This paper studies the movable singular points of a solution of the Hamiltonian system with the Hamiltonian H:= H0+ H1. Here H0 is integrable and the Hamiltonian system of H0 has a singular solution v, while H1 is a perturbation. A singular solution for H is given as F (v) for some transformation F being defined in the domain of the phase space which contains the orbit of v tending to the infinity. The map F is given by the homology equation via the global Borel summability.