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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https://hdl.handle.net/2134/840

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