70 citations · 573 across the 66 of their papers we have counts for
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nlin.SI2004★ 15 cited
Maximal superintegrability of Benenti systems
M. Blaszak, A. Sergyeyev
For a class of Hamiltonian systems naturally arising in the modern theory of separation of variables, we establish their maximal superintegrability by explicitly constructing the a…
nlin.SI2004★ 5 cited
Presymplectic representation of bi-Hamiltonian chain
Maciej Blaszak
Liouville integrable systems, which have bi-Hamiltonian representation of the Gel'fand-Zakharevich type, are considered. Bi-presymplectic representation of one-Casimir bi-Hamiltoni…
nlin.SI2004★ 4 cited
Dirac reduction of dual Poisson-presymplectic pairs
Maciej Blaszak, Krzysztof Marciniak
A new notion of a dual Poisson-presymplectic pair is introduced and its properties are examined. The procedure of Dirac reduction of Poisson operators onto submanifolds proposed by…