149795 20251017144638.0 doi 10.1016/j.cpc.2015.04.007 sideral 89959 ART-2015-89959 eng Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-8089-343X A database of rigorous and high-precision periodic orbits of the Lorenz model 2015 Access copy available to the general public Unrestricted A benchmark database of very high-precision numerical and validated initial conditions of periodic orbits for the Lorenz model is presented. This database is a ‘‘computational challenge’’ and it provides the initial conditions of all periodic orbits of the Lorenz model up to multiplicity 10 and guarantees their existence via computer-assisted proofs methods. The orbits are computed using high-precision arithmetic and mixing several techniques resulting in 1000 digits of precision on the initial conditions of the periodic orbits, and intervals of size 10100 that prove the existence of each orbit. info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 3.635 2015 PHYSICS, MATHEMATICAL 1 / 53 = 0.019 2015 Q1 T1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 11 / 104 = 0.106 2015 Q1 T1 1.788 2015 Physics and Astronomy (miscellaneous) 2015 Q1 Hardware and Architecture 2015 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Dena, Angeles (orcid)0000-0002-1029-0764 Tucker, Warwick 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 194 (2015), 76-83 Comput. phys. commun. COMPUTER PHYSICS COMMUNICATIONS 0010-4655 698951 http://zaguan.unizar.es/record/149795/files/texto_completo.pdf Postprint 1038728 http://zaguan.unizar.es/record/149795/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:149795 articulos driver 2025-10-17-14:30:23 ARTICLE