Normal forms for symplectic maps with twist singularities.

We derive a normal form for a near-integrable, four-dimensional symplectic map with a fold or cusp singularity in its frequency mapping. The normal form is obtained for when the frequency is near a resonance and the mapping is approximately given by the time-T mapping of a two-degree-of freedom Hami...

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Bibliographic Details
Main Authors: Holger R. Dullin, A.V. Ivanov, J.D. Meiss
Format: Default Preprint
Published: 2005
Subjects:
Online Access:https://hdl.handle.net/2134/564
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