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, issue 1

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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https://doi.org/10.1155/2017/5164602

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:5164602

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