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
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;
Conference_Titel :
Communication, Control, and Computing (Allerton), 2013 51st Annual Allerton Conference on
Conference_Location :
Monticello, IL
Print_ISBN :
978-1-4799-3409-6
DOI :
10.1109/Allerton.2013.6736714
