31 citations · 60 across the 4 of their papers we have counts for
Showing nlin.SIShow all
2 papers · 1 filter
nlin.SI2009★ 12 cited
Dynamics near the p : -q Resonance
Sven Schmidt, Holger R. Dullin
We study the dynamics near the truncated p : +/- q resonant Hamiltonian equilibrium for p, q coprime. The critical values of the momentum map of the Liouville integrable system are…
nlin.SI2007★ 17 cited
The 1:+2 / 1:-2 resonance
R. H. Cushman, Holger R. Dullin, Heinz Hanßmann +1
On the linear level elliptic equilibria of Hamiltonian systems are mere superpositions of harmonic oscillators. Non-linear terms can produce instability, if the ratio of frequencie…