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

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  • Cristian Lăzureanu
  • Tudor Bînzar

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.

Suggested Citation

  • Cristian Lăzureanu & Tudor Bînzar, 2017. "Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-13, January.
    • Handle: RePEc:hin:jnlamp:5164602
    DOI: 10.1155/2017/5164602
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    Cited by:

    1. Remus-Daniel Ene & Nicolina Pop & Marioara Lapadat & Luisa Dungan, 2022. "Approximate Closed-Form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method," Mathematics, MDPI, vol. 10(21), pages 1-13, November.

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