3 citations · 6 across the 2 of their papers we have counts for
2 papers
math.DS2006★ 3 cited
Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory
H. W. Broer, H. Hanßmann, J. Hoo +1
Motivated by the Lagrange top coupled to an oscillator, we consider the quasi-periodic Hamiltonian Hopf bifurcation. To this end, we develop the normal linear stability theory of a…
math.DS2002★ 3 cited
Geometry of KAM tori for nearly integrable Hamiltonian systems
H. W. Broer, R. H. Cushman, F. Fasso
We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing together local KAM conjugacies with help of a partition of unity. In this way we…