Connecting symmetric and asymmetric families of periodic orbits in squared symmetric hamiltonians

Blesa, F. (Universidad de Zaragoza) ; Piasecki, S. ; Dena, Á. ; Barrio, R. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1142/S0129183112500143

Año: 2012

Publicado en: INTERNATIONAL JOURNAL OF MODERN PHYSICS C 23, 2 (2012), 1250014 [22 pp]
ISSN: 0129-1831

Factor impacto JCR: 0.615 (2012)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 44 / 55 = 0.8 (2012) - Q4 - T3
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 82 / 100 = 0.82 (2012) - Q4 - T3

Financiación: info:eu-repo/grantAgreement/EC/FP7/ 228398/EU/Pan-European Research infrastructure on High Performance Computing for 21st century Science/HPC-EUROPA2
Financiación: info:eu-repo/grantAgreement/ES/MICYT/MTM2009-10767

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Física Aplicada (Dpto. Física Aplicada)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)