The Lorenz attractor exists


There are three choices here:

  1. The Lorenz attractor exists
    This is a revised version of my Ph.D. thesis. It also has all code
    and initial data used for the proof.

  2. The Lorenz attractor exists
    This is a short version (6 pages) of my Ph.D. thesis, which appeared in
    C. R. Acad. Sci. Paris, t. 328, Série I, p. 1197-1202, 1999

  3. A Rigorous ODE solver and Smale's 14th Problem
    This is the most final extension of my thesis. It contains a completely
    new core program, which will work for a general ODE in any dimension.
    4.


There are also a few articles about my thesis:

  1. Brandt, S. Schmetterlingseffekt bewiesen
    meOme, Jan. 25, 2001

  2. Lasson, M. Med kaos i sinnet
    Le Coq, No 4, 1998

  3. Lotsson, A. Räkna med kaos det bästa vi kan göra
    Computer Sweden, No 70, 1998

  4. Pacifico, M. J. The Lorenz attractor exists
    Featured Review, MatSciNet, 2001b:37051, 2001

  5. Sollerman, J. Svensk löste matematisk utmaning
    Dagens Nyheter, Aug. 15, 1998

  6. Stewart, I. The Lorenz attractor exists
    Nature, vol 406, No 6799, 948-949, 2000

  7. Tillemans, A. Chaos mathematisch bewiesen!
    Weltraum Forschung, Sept. 4, 2000

  8. Viana, M. What's New on Lorenz' Strange Attractors?
    Math. Intel., vol 22, No 3, 6-19, 2000

  9. Weisstein, E. Smale's 14th Problem Solved
    Mathworld Headline News, February 13, 2002

  10. Lozi, R. La preuve d'un certain chaos (1, 2)
    La Recherche, No 337, December 2000
    11.