CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS-Reference-Cited by-同舟云学术

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

Published:2012-02 Issue:02 Volume:23 Page:1250014
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

BLESA FERNANDO¹,PIASECKI SŁAWOMIR²,DENA ÁNGELES³,BARRIO ROBERTO⁴

Affiliation:

1. Departamento de Física Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain

2. Departamento de Matemática Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain

3. Centro Universitario de la Defensa, Academia General Militar, E-50090 Zaragoza, Spain

4. Departamento de Matemática Aplicada and IUMA, Universidad de Zaragoza, E-50009 Zaragoza, Spain

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183112500143

Reference50 articles.

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