Annali di Matematica Pura ed Applicata

, Volume 96, Issue 1, pp 141–148 | Cite as

A note on the disturbed equations of motion in the non-holonomic coordinates

  • Djordje S. Djukić


The aim of this article is to establish the disturbed equations of motion in the non-holonomic coordinates. The governing differential equations of non disturbed motion are the Hamel-Boltzman equations. The disturbed equations obtained in this article can be used for consideration in holonomic and non-holonomic dynamics systems.


Differential Equation Dynamic System Disturbed Motion Disturbed Equation 
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  1. [1]
    J. L. Synge,Geodesics in non-holonomic geometry, Math. Ann.,99 (1928), pp. 738–751.CrossRefzbMATHMathSciNetGoogle Scholar
  2. [2]
    J. L. Synge,On the geometry of dynamics, Phil. Trans. Roy. Soc., A226 (1926), pp. 31–106.zbMATHGoogle Scholar
  3. [3]
    G. Vranceanu,Sopra la stabilità geodetica, Rend. Acc. Lincei,5 (1927), pp. 107–110.zbMATHGoogle Scholar
  4. [4]
    J. A. Schouten, Über nicht-holonome Übertragungen in einer Ln, Math. Zeitschr.,30 (1929), pp. 149–172.CrossRefzbMATHMathSciNetGoogle Scholar
  5. [5]
    G. Vranceanu,Les espaces non-holonomes, Mém. des Sciences Mathém., Fasc. LXXVI (1936).Google Scholar
  6. [6]
    B. Vujanovic,The Hamiltonian Canonical Equations as a Problem in Non-Holonomic Coordinates, Proc. of the West Virginia Acad. of Scie.,41 (1969), pp. 324–328.Google Scholar
  7. [7]
    V. V. Dobronravov,Osnovi mehaniki negolonomnih sistem, Izd., Visa skola, Moskva 1970 (in russian).Google Scholar
  8. [8]
    A. I. Lurje,Analiticeskaja mehanika, Gosu. Iz. F.-M. lit., Moskva, 1961 (in russian).Google Scholar
  9. [9]
    J. I. Neimark -N. A. Fufaev,Dinamika negolonomnih sistem, Izd. Nauka, F.-M. Lit., Moskva, 1967 (in russian).Google Scholar
  10. [10]
    E. T. Whittaker,A treatise on the analytical dynamics of particles and rigid bodies, University Press, Cambridge, 1965.Google Scholar

Copyright information

© Nicola Zanichelli Editore 1973

Authors and Affiliations

  • Djordje S. Djukić
    • 1
  1. 1.Novi SadJugoslavia

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