Doklady Physics

, Volume 61, Issue 1, pp 32–36 | Cite as

Free and controlled motion of a body with a moving internal mass through a fluid in the presence of circulation around the body

  • E. V. Vetchanin
  • A. A. Kilin


The free and controlled motion of an arbitrary two-dimensional body with a moving internal mass and constant circulation around the body in an ideal fluid is studied. Bifurcation analysis of the free motion is performed (under the condition of a fixed internal mass). It is shown that the body can be moved to a given point by varying the position of the internal mass. Some problems related to the presence of a nonzero drift of the body with a fixed internal mass are noted.


Phase Portrait Bifurcation Diagram Control Motion Free Motion DOKLADY Physic 
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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.Kalashnikov Izhevsk State Technical UniversityIzhevsk, UdmurtiaRussia
  2. 2.Udmurt State UniversityIzhevsk, UdmurtiaRussia
  3. 3.Steklov Mathematical InstituteMoscowRussia

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