Non-integrability of flail triple pendulum

作者:Przybylska Maria*; Szuminski Wojciech
来源:Chaos Solitons & Fractals, 2013, 53: 60-74.
DOI:10.1016/j.chaos.2013.04.008

摘要

We consider a special type of triple pendulum with two pendula attached to end mass of another one. Although we consider this system in the absence of the gravity, a quick analysis of of Poincare cross sections shows that it is not integrable. We give an analytic proof of this fact analysing properties the of differential Galois group of variational equations along certain particular solutions of the system.

  • 出版日期2013-8

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