A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems
Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the ba...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147826 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems / S. Benenti // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862662740199342080 |
|---|---|
| author | Benenti, S. |
| author_facet | Benenti, S. |
| citation_txt | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems / S. Benenti // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the basic notions of vector calculus on Euclidean 3-space and on tangent bundles are needed. Elementary examples are illustrated.
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| first_indexed | 2025-12-02T14:19:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147826 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T14:19:19Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Benenti, S. 2019-02-16T08:55:18Z 2019-02-16T08:55:18Z 2007 A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems / S. Benenti // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37J60; 70F25 https://nasplib.isofts.kiev.ua/handle/123456789/147826 Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the basic notions of vector calculus on Euclidean 3-space and on tangent bundles are needed. Elementary examples are illustrated. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. A preliminary version of this paper has been elaborated and exposed at the University of Link¨oping, Department of Mathematics, on May 27, 2005. I wish to thank Stefan Rauch and all the Link¨oping school for their warm hospitality. I wish also to thank: Waldyr Oliva, Willy Sarlet, David Martin de Diego for making me aware of their contributions to the theory; Enrico Pagani and Enrico Massa, for the enlightening discussions during a workshop on dynamical systems held in Torino in April 2005 – their papers have been of great help; Beppe Gaeta, for pointing me out some errors in my first manuscript; Franco Cardin for his kind invitation to give a seminar in Padova on the contents of this paper (November 2006). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems Article published earlier |
| spellingShingle | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems Benenti, S. |
| title | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems |
| title_full | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems |
| title_fullStr | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems |
| title_full_unstemmed | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems |
| title_short | A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems |
| title_sort | 'user-friendly' approach to the dynamical equations of non-holonomic systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147826 |
| work_keys_str_mv | AT benentis auserfriendlyapproachtothedynamicalequationsofnonholonomicsystems AT benentis userfriendlyapproachtothedynamicalequationsofnonholonomicsystems |