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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…
math.DS2007
Quasi-periodic stability of normally resonant tori
Henk W. Broer, M. Cristina Ciocci, Heinz Hanßmann +1
We study quasi-periodic tori under a normal-internal resonance, possibly with multiple eigenvalues. Two non-degeneracy conditions play a role. The first of these generalizes invert…