A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems

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dc.contributor.authorBenenti, S.
dc.date.accessioned2019-02-16T08:55:18Z
dc.date.available2019-02-16T08:55:18Z
dc.date.issued2007
dc.description.abstractTwo 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.uk_UA
dc.description.sponsorshipThis 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).uk_UA
dc.identifier.citationA '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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 37J60; 70F25
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147826
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systemsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік