3 papers
nlin.SI2004
On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations
A. M. Samoilenko, Y. A. Prykarpatsky, D. L. Blackmore +1
Based on the structure of Casimir elements associated with general Hopf algebras there are constructed Liouville-Arnold integrable flows related with naturally induced Poisson stru…
math.SG2004
On the Lagrangian and Hamiltonian aspects of infinite -dimensional dynamical systems and their finite-dimensional reductions
Yarema A. Prykarpatsky, Anatoliy M. Samoilenko
A description of Lagrangian and Hamiltonian formalisms naturally arisen from the invariance structure of given nonlinear dynamical systems on the infinite--dimensional functional m…
math-ph1999
Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1
A. Samoilenko, A. Prykarpatsky, V. Samoylenko
The canonical reduction algorithm is applied to Maxwell and Yang-Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and connection structures.…