000149117 001__ 149117 000149117 005__ 20251017144624.0 000149117 0247_ $$2doi$$a10.1155/2012/716024 000149117 0248_ $$2sideral$$a77007 000149117 037__ $$aART-2012-77007 000149117 041__ $$aeng 000149117 100__ $$0(orcid)0000-0002-1029-0764$$aDena, Angeles 000149117 245__ $$aHigh-Precision Continuation of Periodic Orbits 000149117 260__ $$c2012 000149117 5060_ $$aAccess copy available to the general public$$fUnrestricted 000149117 5203_ $$aObtaining periodic orbits of dynamical systems is the main source of information about how the orbits, in general, are organized. In this paper, we extend classical continuation algorithms in order to be able to obtain families of periodic orbits with high-precision. These periodic orbits can be corrected to get them with arbitrary precision.We illustrate the method with two important classical Hamiltonian problems. 000149117 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2009-10767 000149117 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000149117 590__ $$a1.102$$b2012 000149117 591__ $$aMATHEMATICS$$b30 / 295 = 0.102$$c2012$$dQ1$$eT1 000149117 591__ $$aMATHEMATICS, APPLIED$$b67 / 247 = 0.271$$c2012$$dQ2$$eT1 000149117 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000149117 700__ $$0(orcid)0000-0003-3426-105X$$aRodríguez, Marcos 000149117 700__ $$0(orcid)0000-0002-5701-1670$$aSerrano, Sergio$$uUniversidad de Zaragoza 000149117 700__ $$0(orcid)0000-0002-8089-343X$$aBarrio, Roberto$$uUniversidad de Zaragoza 000149117 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000149117 773__ $$g2012 (2012), 716024 [12 p.]$$pAbstract and Applied Analysis$$tAbstract and Applied Analysis$$x1085-3375 000149117 8564_ $$s1815217$$uhttps://zaguan.unizar.es/record/149117/files/texto_completo.pdf$$yVersión publicada 000149117 8564_ $$s1778042$$uhttps://zaguan.unizar.es/record/149117/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000149117 909CO $$ooai:zaguan.unizar.es:149117$$particulos$$pdriver 000149117 951__ $$a2025-10-17-14:23:15 000149117 980__ $$aARTICLE