17 citations · 30 across the 9 of their papers we have counts for
9 papers
On the detuned 2:4 resonance
Heinz Hanssmann, Antonella Marchesiello, Giuseppe Pucacco
We consider families of Hamiltonian systems in two degrees of freedom with an equilibrium in 1:2 resonance. Under detuning, this "Fermi resonance" typically leads to normal modes l…
The 1:2:4 resonance in a particle chain
Heinz Hanßmann, Reza Mazrooei-Sebdani, Ferdinand Verhulst
We consider four masses in a circular configuration with nearest-neighbour interaction, generalizing the spatially periodic Fermi--Pasta--Ulam-chain where all masses are equal. We…
Normal-normal resonances in a double Hopf bifurcation
Henk Broer, Heinz Hanßmann, Florian Wagener
We investigate the stability loss of invariant n-dimensional quasi-periodic tori during a double Hopf bifurcation, where at bifurcation the two normal frequencies are in normal-nor…
Bifurcations and Monodromy of the Axially Symmetric 1:1:-2 Resonance
Konstantinos Efstathiou, Heinz Hanßmann, Antonella Marchesiello
We consider integrable Hamiltonian systems in three degrees of freedom near an elliptic equilibrium in 1:1:-2 resonance. The integrability originates from averaging along the perio…
The 1:1 resonance in Hamiltonian systems
Heinz Hanssmann, Igor Hoveijn
Two-degree-of-freedom Hamiltonian systems with an elliptic equilibrium at the origin are characterised by the frequencies of the linearisation. Considering the frequencies as param…
The degenerate C. Neumann system I: symmetry reduction and convexity
Holger R. Dullin, Heinz Hanßmann
The C. Neumann system describes a particle on the sphere S^n under the influence of a potential that is a quadratic form. We study the case that the quadratic form has l+1 distinct…