Generic twistless bifurcations

We show that in the neighborhood of the tripling bifurcation of a periodic orbit of a Hamiltonian flowor of a fixed point of an areapreserving map, there is generically a bifurcation that creates a “twistless” torus. At this bifurcation, the twist, which is the derivative of the rotation number with...

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Bibliographic Details

Main Authors:	Holger R. Dullin, J.D. Meiss, D.G. Sterling
Format:	Default Preprint
Published:	1999
Subjects:	Other mathematical sciences not elsewhere classified twist maps Hamiltonian systems tripling bifurcation reconnection bifurcation normal forms Abelian integrals Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/840
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