149119 20251017144624.0 doi 10.1142/S0129183112500143 sideral 76494 ART-2012-76494 eng Blesa, F. Universidad de Zaragoza (orcid)0000-0001-5484-6536 Connecting symmetric and asymmetric families of periodic orbits in squared symmetric hamiltonians 2012 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/EC/FP7/ 228398/EU/Pan-European Research infrastructure on High Performance Computing for 21st century Science/HPC-EUROPA2 info:eu-repo/grantAgreement/ES/MICYT/MTM2009-10767 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 0.615 2012 PHYSICS, MATHEMATICAL 44 / 55 = 0.8 2012 Q4 T3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 82 / 100 = 0.82 2012 Q4 T3 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Piasecki, S. Dena, Á. (orcid)0000-0002-1029-0764 Barrio, R. Universidad de Zaragoza (orcid)0000-0002-8089-343X 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 23, 2 (2012), 1250014 [22 pp] Int. J. Mod. Phys. C INTERNATIONAL JOURNAL OF MODERN PHYSICS C 0129-1831 7786168 http://zaguan.unizar.es/record/149119/files/texto_completo.pdf Postprint 757681 http://zaguan.unizar.es/record/149119/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:149119 articulos driver 2025-10-17-14:23:17 ARTICLE