Monodromy in the resonant swing spring

This paper shows that an integrable approximation of the spring pendulum, when tuned to be in 1 : 1 : 2 resonance, has monodromy. The stepwise precession angle of the swing plane of the resonant spring pendulum is shown to be a rotation number of the integrable approximation. Due to the monodromy, t...

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Bibliographic Details
Main Authors: Holger R. Dullin, Andrea Giacobbe, Richard Cushman
Format: Default Preprint
Published: 2003
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Online Access:https://hdl.handle.net/2134/298
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