On the Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reductions

• Published in: Нелінійні коливання
• Date: 2005
• Main Authors: Prykarpatsky, Y.A., Samoilenko, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178006
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reductions / Y.A. Prykarpatsky, A.M. Samoilenko // Нелінійні коливання. — 2005. — Т. 8, № 3. — С. 360-387. — Бібліогр.: 41 назв. — англ.

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. The basic ideas used to formulate the canonical symplectic structure are borrow...