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Cartesian Approach for Nonholonomic Systems

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Abstract

The aim of this communication is to develop a Cartesian approach to description of nonholonomic systems with constraints that are linear with respect to velocity. The obtained results are applied to study the classical nonholonomic systems: the constrained particle in ℝ3, the Chaplygin-Caratheodory sleigh, and the symmetrical top in the Suslov problem. Bibliography: 6 titles.

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REFERENCES

  1. V. V. Kozlov, General Vortex Theory [in Russian], Udmurtskiy Universitet, Izhevsk (1998).

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  2. V. V. Kozlov, Symmetries, Topology and Resonances in Hamiltonian Mechanics, Springer-Verlag, Berlin (1996).

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  3. Yu. Neimark and N. A. Fufaev, Dynamics of Nonholonomic Systems, Amer. Math. Soc., Providence, Rhode Island (1972).

    Google Scholar 

  4. N. N. Polyakhov et al. Theoretical Mechanics [in Russian], Leningrad State University, Leningrad (1985).

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  5. N. Sadovskaia, Inverse Problem in the Theory of Ordinary Differential Equations [in Spanish], Ph. D. Thesis, Universidad Politecnica de Catalua (2002).

  6. E. I. Kharlamova-Zabelina, “Rapid rotation of a rigid body about a fixed point under the presence of a nonholonomic constraints,” Vestnik Moskovsk. Univ., Ser. Mat. Mekh. Astr. Fiz. Khim., 12, No.6, 25–34 (1957).

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Authors and Affiliations

  1. Department d’Enginyeria Informatica, Universitat Rovira i Virgili, Av. Paisos Catalans, 26, 43007, Tarragona, Spain

    R. Ramirez

  2. Departament de Matematica Aplicada II, Universitat Politecnica de Catalunya Pau Gargallo 5, 08028, Barcelona, Spain

    N. Sadovskaia

Authors
  1. R. Ramirez
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  2. N. Sadovskaia
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 300, 2003, pp. 228–237.

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Ramirez, R., Sadovskaia, N. Cartesian Approach for Nonholonomic Systems. J Math Sci 128, 2812–2817 (2005). https://doi.org/10.1007/s10958-005-0237-5

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  • DOI: https://doi.org/10.1007/s10958-005-0237-5

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