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Bi-presymplectic representation of Liouville integrable systems and related separability theory
Bi-presymplectic representation Liouville integrable systems related separability theory
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2010/12/15
Bi-presymplectic chains of one-forms of arbitrary co-rank are considered. The conditions in which such chains represent some Liouville integrable systems and the conditions in which there exist relate...
Integrable Euler top and nonholonomic Chaplygin ball
Integrable Euler top nonholonomic Chaplygin ball
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2010/4/2
We discuss the Poisson structures, Lax matrices, $r$-matrices, bi-hamiltonian structures, the variables of separation and other attributes of the modern theory of dynamical systems in application to t...