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A. Tsiganov (2007)
The Poisson bracket compatible with the classical reflection equation algebraRegular and Chaotic Dynamics, 13
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Коммутативные пуассоновы подалгебры для скобок Склянина и деформации известных интегрируемых моделей@@@Commutative Poisson Subalgebras for Sklyanin Brackets and Deformations of Some Known Integrable Models, 133
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Locally any completely integrable system is maximally superintegrable system since we have the necessary number of the action-angle variables. The main problem is the construction of the single-valued additional integrals of motion on the whole phase space by using these multi-valued action-angle variables. Some constructions of the additional integrals of motion for the Stäckel systems and for the integrable systems related with two different quadratic r-matrix algebras are discussed. Among these system there are the open Heisenberg magnet and the open Toda lattices associated with the different root systems.
Regular and Chaotic Dynamics – Springer Journals
Published: Jun 12, 2008
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