Vanishing twist in the Hamiltonian Hopf Bifurcation

The Hamiltonian Hopf bifurcation has an integrable normal form that describes the passage of the eigenvalues of an equilibrium through the 1 : −1 resonance. At the bifurcation the pure imaginary eigenvalues of the elliptic equilibrium turn into a complex quadruplet of eigenvalues and the equilibrium...

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Bibliographic Details
Main Authors: Holger R. Dullin, A.V. Ivanov
Format: Default Preprint
Published: 2003
Subjects:
Other mathematical sciences not elsewhere classified
Hamiltonian Hopf Bifurcation
KAM
Isoenergetic non-degeneracy
Vanishing Twist
Elliptic integrals
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/297
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