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The Hojman Construction and Hamiltonization of Nonholonomic Systems
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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The Hojman Construction and Hamiltonization of Nonholonomic Systems
Інший ID:
2010 Mathematics Subject Classification: 37J60; 37J05
DOI:10.3842/SIGMA.2016.012
DOI:10.3842/SIGMA.2016.012
Посилання:
The Hojman Construction and Hamiltonization of Nonholonomic Systems / I.A. Bizyaev, A.V. Borisov, I.S. Mamaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 41 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in honour
of Sergio Benenti. The full collection is available at http://www.emis.de/journals/SIGMA/Benenti.html.
Section 3 was prepared by A.V. Borisov under the RSF grant No. 15-12-20035. Section 2 was
written by I.S. Mamaev within the framework of the state assignment for institutions of higher
education. The work of I.A. Bizyaev (Sections 4 and 5) was supported by RFBR grant No. 15-
31-50172. The authors thank A.V. Tsiganov and A.V. Bolsinov for useful discussions and the
referees for numerous comments, which have contributed to the improvement of this paper.
Дата:
2016
Переглядів:
559
Завантажень:
270
Анотація:
In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them.
