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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…
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…