CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS

被引：2

作者：

Blesa, Fernando ^{[1
]}

Piasecki, Slawomir ^{[2
]}

Dena, Angeles ^{[4
]}

Barrio, Roberto ^{[2
,3
]}

机构：

[1] Univ Zaragoza, Dept Fis Aplicada, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

[3] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

[4] Ctr Univ Def, E-50090 Zaragoza, Spain

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2012年 / 23卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Periodic orbits; symmetric Hamiltonians; bifurcations of periodic orbits; FAST LYAPUNOV INDICATOR; CELESTIAL MECHANICS; NORMAL-FORM; SYSTEMS; BIFURCATIONS; DYNAMICS; EXPLORATION; MAPPINGS; SCARS; CHAOS;

D O I：

10.1142/S0129183112500143

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this work, we study a generic squared symmetric Hamiltonian of two degrees of freedom. Our aim is to show a global methodology to analyze the evolution of the families of periodic orbits and their bifurcations. To achieve it, we use several numerical techniques such as a systematic grid search algorithm in sequential and parallel, a fast chaos indicator and a tool for the continuation of periodic orbits. Using them, we are able to study the special and generic bifurcations of multiplicity one that allow us to understand the dynamics of the system and we show in detail the evolution of some symmetric breaking periodic orbits.

引用

页数：22

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