Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem

In this paper a system derived by an optimal control problem for the ball-plate dynamics is considered. Symplectic and Lagrangian realizations are given and some symmetries are studied. The image of the energy-Casimir mapping is described and some connections with the dynamics of the considered syst...

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Bibliographic Details
Main Authors: Cristian Lăzureanu, Tudor Bînzar
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/5164602