A database of rigorous and high-precision periodic orbits of the Lorenz model

Barrio, Roberto (Universidad de Zaragoza) ; Dena, Angeles ; Tucker, Warwick

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.cpc.2015.04.007

Año: 2015

Publicado en: COMPUTER PHYSICS COMMUNICATIONS 194 (2015), 76-83
ISSN: 0010-4655

Factor impacto JCR: 3.635 (2015)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 1 / 53 = 0.019 (2015) - Q1 - T1
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 11 / 104 = 0.106 (2015) - Q1 - T1

Factor impacto SCIMAGO: 1.788 - Physics and Astronomy (miscellaneous) (Q1) - Hardware and Architecture (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)