Ling Fu-hua, Xu Ru-jin. Non-lntegrability and Chaos of a Conservative Compound Pendulum[J]. Applied Mathematics and Mechanics, 1992, 13(1): 45-52.
Citation: Ling Fu-hua, Xu Ru-jin. Non-lntegrability and Chaos of a Conservative Compound Pendulum[J]. Applied Mathematics and Mechanics, 1992, 13(1): 45-52.

Non-lntegrability and Chaos of a Conservative Compound Pendulum

  • Received Date: 1991-03-04
  • Publish Date: 1992-01-15
  • By using a series of canonical transformations(Birkhoff's series),an approximate integral of a conservative compound pendulum is evaluated.Level lines of this approximate integral are compared with the numerical simulation results.It is seen clearly that with a raised energy level,the nearly integrable system becomes non-integrable,i.e.the regular motion pattern changes to the chaotic one.Experiments with such a pendulum device display the behavior mentioned above.
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