Non-integrability of flail triple pendulum

Maria Przybylska and Wojciech Szumiński

Chaos, Solitons & Fractals, 2013, vol. 53, issue C, 60-74

Abstract: 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 Poincaré 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:53:y:2013:i:c:p:60-74

DOI: 10.1016/j.chaos.2013.04.008

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