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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… Click to show full 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.

Keywords: energy casimir; ball plate; problem; casimir mapping

Journal Title: Advances in Mathematical Physics
Year Published: 2017

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