Shi Rong-chang, Mei Feng-xiang. On a Generalization of Bertrand’s Theorem[J]. Applied Mathematics and Mechanics, 1993, 14(6): 507-513.
Citation: Shi Rong-chang, Mei Feng-xiang. On a Generalization of Bertrand’s Theorem[J]. Applied Mathematics and Mechanics, 1993, 14(6): 507-513.

On a Generalization of Bertrand’s Theorem

  • Received Date: 1992-05-20
  • Publish Date: 1993-06-15
  • 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.
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