Перегляд за автором "Samoilenko, A.M."

Результати 1-6 з 6

Hopf algebras and integrable flows related to the Heisenberg–Weil coalgebra

Blackmore, D; Prykarpatsky, A.K.; Samoilenko, A.M. (Український математичний журнал, 2004)

On the basis of the structure of Casimir elements associated with general Hopf algebras, we construct Liouville–Arnold integrable flows related to naturally induced Poisson structures on an arbitrary coalgebra and their ...
On the Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reductions

Prykarpatsky, Y.A.; Samoilenko, A.M. (Нелінійні коливання, 2005)

Some aspects of the description of Lagrangian and Hamiltonian formalisms naturally arising from the invariance structure of given nonlinear dynamical systems on the infinite-dimensional functional manifold is presented. ...
Some problems of the linear theory of systems of ordinary differential equations

Samoilenko, A.M. (Український математичний журнал, 2011)

We consider problems of the linear theory of systems of ordinary differential equations related to the investigation of invariant hyperplanes of these systems, the notion of equivalence for these systems, and the Floquet ...
The 12-th Scientific Session of the Mathematical Commission of the T. H. Shevchenko Scientific Society

Samoilenko, A.M.; Prytula, M.M. (Нелінійні коливання, 2001)

A session of the mathematical commission of the T.H. Shevchenko Scientific Society (SSS) was held on March 16 – 17, 2001 at the I. Franko L’viv National University. The session was organized both by the mathematical ...
The generalized De Rham-Hodge theory of Delsarte transmutation operators in multidimension case and its applications

Prykarpatsky, Y.A.; Samoilenko, A.M. (Нелінійні коливання, 2004)

A study of spectral and differential-geometric properties of Delsarte transmutation operators is given. Their differential geometrical and topological structure in multidimension is analyzed, the relationships with ...
The Lyapunov–Schmidt Approach to Studying Homoclinic Splitting in Weakly Perturbed Lagrangian and Hamiltonian Systems

Samoilenko, A.M.; Prykarpatsky, A.K.; Samoylenko, V.Hr. (Український математичний журнал, 2003)

We analyze the geometric structure of the Lyapunov–Schmidt approach to studying critical manifolds of weakly perturbed Lagrangian and Hamiltonian systems.

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Перегляд за автором "Samoilenko, A.M."

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Перегляд за автором "Samoilenko, A.M."

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