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Four-dimensional generalization of the Grioli precession

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Abstract

A particular solution of the four-dimensional Lagrange top on e(4) representing a four-dimensional regular precession is constructed. Using it, a four-dimensional analogue of the Grioli nonvertical regular precession of an asymmetric heavy rigid body is constructed.

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Authors and Affiliations

  1. Mathematical Institute, Serbian Academy of Science and Art, Kneza Mihaila 36, 11000, Belgrade, Serbia

    Vladimir Dragović & Borislav Gajić

  2. University of Texas at Dallas, 800 West Campbell Road, Richardson, TX, 75080, USA

    Vladimir Dragović

Authors
  1. Vladimir Dragović
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  2. Borislav Gajić
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Correspondence to Vladimir Dragović.

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Dedicated to Sergey Bolotin on the occasion of his 60th birthday and to Dmitry Treschev on the occasion of his 50th birthday

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Dragović, V., Gajić, B. Four-dimensional generalization of the Grioli precession. Regul. Chaot. Dyn. 19, 656–662 (2014). https://doi.org/10.1134/S1560354714060045

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  • DOI: https://doi.org/10.1134/S1560354714060045

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