On Isochronicity

被引：1
|
作者：
Treschev, D. V. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2023年 / 322卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
oscillations; isochronicity; superintegrability;
D O I：
10.1134/S008154382304017X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain a complete set of explicit necessary and sufficient conditions for the isochronicity of a Hamiltonian system with one degree of freedom. The conditions are presented in terms of the Taylor coefficients of the Hamiltonian function and have the form of an infinite collection of polynomial equations.
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页码：198 / 223
页数：26
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