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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/5164602 |
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| _version_ | 1849693279093784576 |
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| author | Cristian Lăzureanu Tudor Bînzar |
| author_facet | Cristian Lăzureanu Tudor Bînzar |
| author_sort | Cristian Lăzureanu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-32a40a91c2fd4aa7927349321ac2e72b |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-32a40a91c2fd4aa7927349321ac2e72b2025-08-20T03:20:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/51646025164602Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate ProblemCristian Lăzureanu0Tudor Bînzar1Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei Nr. 2, 300006 Timişoara, RomaniaDepartment of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei Nr. 2, 300006 Timişoara, RomaniaIn 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.http://dx.doi.org/10.1155/2017/5164602 |
| spellingShingle | Cristian Lăzureanu Tudor Bînzar Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem Advances in Mathematical Physics |
| title | Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem |
| title_full | Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem |
| title_fullStr | Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem |
| title_full_unstemmed | Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem |
| title_short | Symmetries and Properties of the Energy-Casimir Mapping in the Ball-Plate Problem |
| title_sort | symmetries and properties of the energy casimir mapping in the ball plate problem |
| url | http://dx.doi.org/10.1155/2017/5164602 |
| work_keys_str_mv | AT cristianlazureanu symmetriesandpropertiesoftheenergycasimirmappingintheballplateproblem AT tudorbinzar symmetriesandpropertiesoftheenergycasimirmappingintheballplateproblem |