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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  • [1]
    Whittaker,E.T.,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies,Fourth edition,Cambridge Press(1952).
    [2]
    Галиллин А.С.,Мемобы Решенця Обрамных Забач Дцнамцкц,М.,Наука(1986).
    [3]
    Еругин Н.П.,Построение всего множества систм дмфференциалъных уравнений,имеющих заданную интегралъную крзвую,П,М,М.,16(6)(1952),659-670.
    [4]
    梅凤翔.《非完整系统力学基础》.北京工业学院出版社(1985).
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