000149119 001__ 149119
000149119 005__ 20250125113652.0
000149119 0247_ $$2doi$$a10.1142/S0129183112500143
000149119 0248_ $$2sideral$$a76494
000149119 037__ $$aART-2012-76494
000149119 041__ $$aeng
000149119 100__ $$0(orcid)0000-0001-5484-6536$$aBlesa, F.$$uUniversidad de Zaragoza
000149119 245__ $$aConnecting symmetric and asymmetric families of periodic orbits in squared symmetric hamiltonians
000149119 260__ $$c2012
000149119 5060_ $$aAccess copy available to the general public$$fUnrestricted
000149119 5203_ $$aIn 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.
000149119 536__ $$9info:eu-repo/grantAgreement/EC/FP7/ 228398/EU/Pan-European Research infrastructure on High Performance Computing for 21st century Science/HPC-EUROPA2$$9info:eu-repo/grantAgreement/ES/MICYT/MTM2009-10767
000149119 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000149119 590__ $$a0.615$$b2012
000149119 591__ $$aPHYSICS, MATHEMATICAL$$b44 / 55 = 0.8$$c2012$$dQ4$$eT3
000149119 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b82 / 100 = 0.82$$c2012$$dQ4$$eT3
000149119 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000149119 700__ $$aPiasecki, S.
000149119 700__ $$0(orcid)0000-0002-1029-0764$$aDena, Á.
000149119 700__ $$0(orcid)0000-0002-8089-343X$$aBarrio, R.$$uUniversidad de Zaragoza
000149119 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada
000149119 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000149119 773__ $$g23, 2 (2012), 1250014 [22 pp]$$pInt. J. Mod. Phys. C$$tINTERNATIONAL JOURNAL OF MODERN PHYSICS C$$x0129-1831
000149119 8564_ $$s7786168$$uhttps://zaguan.unizar.es/record/149119/files/texto_completo.pdf$$yPostprint
000149119 8564_ $$s757681$$uhttps://zaguan.unizar.es/record/149119/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000149119 909CO $$ooai:zaguan.unizar.es:149119$$particulos$$pdriver
000149119 951__ $$a2025-01-25-10:30:03
000149119 980__ $$aARTICLE