A Cantor set of tori with monodromy near a focus–focus singularity
A Cantor set of tori with monodromy near a focus–focus singularity
We write down an asymptotic expression for action coordinates in an integrable Hamiltonian system with a focus–focus equilibrium. From the singularity in the actions we deduce that the Arnol'd determinant grows infinitely large near the pinched torus. Moreover, we prove that it is possible to globally parameterize the Liouville tori …