ON AN EXTENSION OF THE 3-DIMENSIONAL TODA LATTICE

Mircea Puta

Key words: Toda lattice, Poisson manifolds,
        Lyapunov stability, energy-Casimir method,
        Lax representation.

1991 Math. Subject Classification: 58F05.

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