149117 20251017144624.0 doi 10.1155/2012/716024 sideral 77007 ART-2012-77007 eng Dena, Angeles (orcid)0000-0002-1029-0764 High-Precision Continuation of Periodic Orbits 2012 Access copy available to the general public Unrestricted Obtaining 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. info:eu-repo/grantAgreement/ES/MICINN/MTM2009-10767 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 1.102 2012 MATHEMATICS 30 / 295 = 0.102 2012 Q1 T1 MATHEMATICS, APPLIED 67 / 247 = 0.271 2012 Q2 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Rodríguez, Marcos (orcid)0000-0003-3426-105X Serrano, Sergio Universidad de Zaragoza (orcid)0000-0002-5701-1670 Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-8089-343X 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 2012 (2012), 716024 [12 p.] Abstract and Applied Analysis Abstract and Applied Analysis 1085-3375 1815217 http://zaguan.unizar.es/record/149117/files/texto_completo.pdf Versión publicada 1778042 http://zaguan.unizar.es/record/149117/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:149117 articulos driver 2025-10-17-14:23:15 ARTICLE