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

Cristian Lăzureanu and Tudor Bînzar

Advances in Mathematical Physics, 2017, vol. 2017, 1-13

Abstract:

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 system are presented.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5164602

DOI: 10.1155/2017/5164602

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