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Manuscript Title: A database of rigorous and high-precision periodic orbits of the Lorenz model
Authors: Roberto Barrio, Angeles Dena, Warwick Tucker
Program title: Lorenz-Database
Catalogue identifier: AEWM_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 194(2015)76
Programming language: Data.
Computer: Any computer.
Operating system: Any.
RAM: Database, no requirements
Keywords: Lorenz model, multiple precision, periodic orbits.
PACS: 05.45.Pq, 02.60.Lj, 05.45.Ac.
Classification: 4.3, 4.12.

Nature of problem:
Database of all periodic orbits of the Lorenz model up to multiplicity 10 with 1000 precision digits.

Solution method:
Advanced search methods for locating unstable periodic orbits combined with the Taylor series method for multiple precision integration of ODEs and interval methods for providing Computer-Assisted proofs of the periodic orbits.

Unusual features:
The database gives 100 digits rigorously proved using Computer-Assisted techniques and 1000 digits using an optimal adaptive Taylor series method.

Running time:
Not Applicable