42 citations · 206 across the 23 of their papers we have counts for
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nlin.SI2006★ 19 cited
Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices
Pantelis A. Damianou
This paper is mainly a review of the multi--Hamiltonian nature of Toda and generalized Toda lattices corresponding to the classical simple Lie groups but it includes also some new…
nlin.SI2005★ 5 cited
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice
Pantelis A. Damianou, Franco Magri
In this paper we propose a new algorithm for obtaining the rational integrals of the full Kostant-Toda lattice. This new approach is based on a reduction of a bi-Hamiltonian system…