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Journal of Automation and Information Sciences

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ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Hamiltonian Dynamics of the Symmetric Top in External Axially-Symmetric Fields. Magnetic Retention of a Rigid Body

Volumen 50, Ausgabe 7, 2018, pp. 48-69
DOI: 10.1615/JAutomatInfScien.v50.i7.50
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ABSTRAKT

The new approach of the study of the dynamic stability of magnetic bodies in external axially-symmetric magnetic fields is proposed. The Hamiltonian describing a wide class of mathematical models of a symmetric top interacting with external axially-symmetric fields and the homogeneous field of gravity force is considered. The method is used for a number of known and new mathematical models.

REFERENZEN
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  2. Zub S.I., Zub S.S., Lyashko V.S., Lyashko N.L., Lyashko S.I., Mathematical model of interaction of a symmetric top with an axially symmetric external field, Cybernetics and systems analysis, 2017, 53, No. 3, 333–345.

  3. Grigoryeva L., Ortega J-Р., Zub S., Stability of hamiltonian relative equilibria in symmetric magnetically confined rigid bodies, The J. of Geom. Mech., 2014, No. 6, 373–415.

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  8. Lyashko S.I., Klyushin D.A., Onotskyi V.V., Lyashko N.I., Optimal control of drug delivery from microneedle systems, Ibid., 2018, 54, No. 3, 1–9.

  9. Lyashko S.I., Klyushin D.A., Nomirovsky D.A., Semenov V.V., Identification of age — structured contamination sources in ground water, Optimal control of age — structured populations in economy, demography and the environment, Routledge, London; New Yor.

  10. Lyashko S.I., Semenov V.V., Controllability in classes of singular influences for linear distributed parameter systems, Cybernetics and systems analysis, 2001, No. 1, 18–42.

  11. Lyashko S.I., Nomirovski D.A., Sergienko T.I., Trajectory and final controllability in hyperbolic and pseudohyperbolic systems with generalized actions, Ibid., 2001, No. 5, 157–166.

  12. Zub S.S., Zub S.I., Hamiltonian dynamics of a symmetric top in external fields having axial symmetry. Levitating orbitron, Cornell University, 2015, arXiv:1502.04674, https://arxiv.org/abs/ 1502.04674.

REFERENZIERT VON
  1. Ruiz Adrián, Basquerotto Cláudio H. C. Costa, Reduced motion equations of an axisymmetric body spinning on a horizontal surface via Lie symmetries, Acta Mechanica, 233, 9, 2022. Crossref

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