• DocumentCode
    2149016
  • Title

    Applications of a new ultimate bound on the trajectories of the Lorenz system to synchronization and estimation of the Hausdorff dimension

  • Author

    Pogromsky, A. ; Santoboni, G. ; Nijmeijer, H.

  • Author_Institution
    Dept. of Mech. Eng., Eindhoven Univ. of Technol., Netherlands
  • Volume
    2
  • fYear
    2003
  • fDate
    20-22 Aug. 2003
  • Firstpage
    626
  • Abstract
    In this paper a new bound on the trajectories of the Lorenz system is derived. This result is useful to show that the transverse stability of the origin in two Lorenz systems coupled in a drive-response manner is a necessary and sufficient condition for global asymptotic synchrony of the two systems. It also enables to simplify the derivation of an upper bound of the Hausdorff dimension of the Lorenz attractor.
  • Keywords
    asymptotic stability; synchronisation; Hausdorff dimension estimation; Hausdorff dimension synchronization; Hausdorff dimension upper bound; Lorenz attractor; Lorenz system trajectory; asymptotic synchrony; necessary condition; sufficient condition; transverse stability; Asymptotic stability; Chaos; Petroleum; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2003. Proceedings. 2003 International Conference
  • Print_ISBN
    0-7803-7939-X
  • Type

    conf

  • DOI
    10.1109/PHYCON.2003.1236906
  • Filename
    1236906
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2149016