Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory
Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory
<!-- *** Custom HTML *** --> 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 an invariant torus with a generic (i.e., non-semisimple) normal $1:-1$ resonance. This theory guarantees the persistence of …