A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator

被引：19

作者：

Avendano-Camacho, M. ^{[1
]}

Vallejo, J. A. ^{[2
]}

Vorobiev, Yu. ^{[1
]}

机构：

[1] Univ Sonora, Dept Matemat, Hermosillo, Sonora, Mexico

[2] Univ Autonoma San Luis Potosi, Fac Ciencias, San Luis Potosi, Mexico

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 09期

关键词：

HAMILTONIAN-FORMULATION; REDUCTION;

D O I：

10.1063/1.5000382

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a detailed analysis of the orbital stability of the Pais-Uhlenbeck oscillator, using Lie-Deprit series and Hamiltonian normal form theories. In particular, we explicitly describe the reduced phase space for this Hamiltonian system and give a proof for the existence of stable orbits for a certain class of self-interaction, found numerically in previous studies, by using singular symplectic reduction. Published by AIP Publishing.

引用

页数：13

共 23 条

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