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A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems
Інший ID:
2000 Mathematics Subject Classification: 37J60; 70F25
Посилання:
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.
Підтримка:
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).
Дата:
2007
Переглядів:
512
Завантажень:
229
Анотація:
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.
