Periodic orbits of a generalized Henon-Heiles system

被引：3

作者：

alvarez-Ramirez, M. ^{[1
]}

Garcia-Saldana, J. D. ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, San Rafael Atlixco 186, Mexico City 09340, DF, Mexico

[2] Univ Catolica Santisima Concepcion, Dept Matemat & Fis Aplicadas, Alonso Ribera 2850, Concepcion, Chile

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2020年 / 53卷 / 06期

关键词：

Hamiltonian system; periodic orbits; averaging theory; MANIFOLDS;

D O I：

10.1088/1751-8121/ab661f

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we apply the Lyapunov center theorem, Weinstein-Moser theorem and the averaging theory of second order to prove the existence of periodic orbits of a one-parameter generalized Henon-Heiles Hamiltonian system which includes the classical one. We show that this system has at least two-families of stable periodic orbits for energy level h > 0.

引用

页数：13

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