Cybernetics and Systems Analysis

, Volume 43, Issue 6, pp 912–916 | Cite as

Capabilities of the system maple in studying dynamic systems of magnetically interacting free bodies

  • L. V. Grigor’evaEmail author
  • V. V. Kozorez
  • S. I. Lyashko
Brief Communications


The problem of n magnetically interacting free bodies is considered. Its dynamic model of order 12n is obtained based on the Lagrangian formalism. The Maple software is used to numerically solve the Cauchy problem and to plot phase portraits. The model is relevant to magnetic levitation.


free bodies magnetic interaction dynamics 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • L. V. Grigor’eva
    • 1
    Email author
  • V. V. Kozorez
    • 2
  • S. I. Lyashko
    • 1
  1. 1.Taras Shevchenko UniversityKievUkraine
  2. 2.National Academy of Water TransportKievUkraine

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