417 citations · 1.6k across the 72 of their papers we have counts for
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nlin.CD2003★ 12 cited
Vanishing Twist in the Hamiltonian Hopf Bifurcation
Holger R. Dullin, Alexey V. Ivanov
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 p…
nlin.CD2003★ 11 cited
(Vanishing) Twist in the Saddle-Centre and Period-Doubling Bifurcation
Holger R. Dullin, Alexey V. Ivanov
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). T…