• DocumentCode
    3250822
  • Title

    Double bracket flows, toda flows and rigid body toda

  • Author

    Bloch, Anthony M. ; Gay-Balmaz, Francois ; Ratiu, Tudor S.

  • Author_Institution
    Dept. of Math., Univ. of Michigan, Ann Arbor, MI, USA
  • fYear
    2013
  • fDate
    2-4 Oct. 2013
  • Firstpage
    1567
  • Lastpage
    1572
  • Abstract
    In this paper we consider certain gradient and Hamiltonian flows on adjoint orbits that generalize the Toda lattice flow. The Toda lattice can be shown to be a gradient flow on a suitable orbit. Here we discuss related gradient flows and consider the generalization of the Toda lattice flow to the Toda rigid body flow.
  • Keywords
    Lie algebras; Toda lattice; Hamiltonian flows; Toda lattice flow; Toda rigid body flow; adjoint orbits; double bracket flows; gradient flow; Equations; Lattices; Mathematical model; Measurement; Orbits; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication, Control, and Computing (Allerton), 2013 51st Annual Allerton Conference on
  • Conference_Location
    Monticello, IL
  • Print_ISBN
    978-1-4799-3409-6
  • Type

    conf

  • DOI
    10.1109/Allerton.2013.6736714
  • Filename
    6736714
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3250822