Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (6): 537-544.

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ON A GENERALIZATION OF BERTRAND’S THEOREM

Shi Rong-chang, Mei Feng-xiang   

  1. Peking Institute of Technology, Beijing
  • Received:1992-05-20 Online:1993-06-18 Published:1993-06-18
  • Supported by:
    National Natural Science Foundation of China

Abstract: Bertrand’s theorem for the determination of the applied forces to a holonomic system from one of its first integrals, is extended to nonholonomic systems. Some interesting applications of this new result are also given.

Key words: analytical mechanics, nonholonomic system, first integral, inverse problem of dynamics

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