(Vanishing) twist in the saddle-centre and period-doubling bifurcation

The lowest order resonant bifurcations of a periodic orbit of a Hamiltonian system with two degrees of freedom have frequency ratio 1:1 (saddle-centre) and 1:2 (period-doubling). The twist, which is the derivative of the rotation number with respect to the action, is studied near these bifurcations....

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Bibliographic Details
Main Authors: Holger R. Dullin, A.V. Ivanov
Format: Default Preprint
Published: 2003
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Online Access:https://hdl.handle.net/2134/2749
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