Mircea Puta
On an Extension of the 3-Dimensional Toda Lattice
The paper is published: in J. Janyska et. al. (eds.) "Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, 1995" Masaryk University, Brno 1996, 455-462

MSC:

58F05 Hamiltonian and Lagrangian systems; symplectic geometry, See also {70Hxx, 81S10}

93B52 Feedback control

Abstract: An extension of the 3-dimensional nonperiodic Toda lattice is
proposed and some of its geometrical and dynamical properties are
pointed out.

Keywords: Poisson manifolds, Lyapunov stability, energy-Casimir method, Lax representation, extension, Toda lattice