The Lorenz attractor exists
1998 (English)Doctoral thesis, comprehensive summary (Other academic)
We prove that the Lorenz equations support a strange attractor, as conjectured by Edward Lorenz in 1963. We also prove that the attractor is robust, i.e., it persists under small perturbations of the coefficients in the underlying differential equations. The proof is based on a combination of normal form theory and rigorous computations.
Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis , 1998. , 119 p.
Uppsala Dissertations in Mathematics, ISSN 1401-2049 ; 11
Research subject Mathematics
IdentifiersURN: urn:nbn:se:uu:diva-816ISBN: 91-506-1296-4OAI: oai:DiVA.org:uu-816DiVA: diva2:170518
1998-09-24, Room 247, Building 2, Polacksbacken, Uppsala University, Uppsala, 13:15