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

Published: 1 January 2015| Version 1 | DOI: 10.17632/2js7x48ryy.1
Contributors:
Roberto Barrio,
Angeles Dena,
Warwick Tucker

Description

Abstract 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... Title of program: Lorenz-Database Catalogue Id: AEWM_v1_0 Nature of problem Database of all periodic orbits of the Lorenz model up to multiplicity 10 with 1000 precision digits. Versions of this program held in the CPC repository in Mendeley Data AEWM_v1_0; Lorenz-Database; 10.1016/j.cpc.2015.04.007 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

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