A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion
A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion
A new generalization of the Poincaré-Birkhoff fixed pointtheorem applying to small perturbations of finite-dimensional,completely integrable Hamiltonian systems is formulated andproved. The motivation for this theorem is an extension of somerecent results of Blackmore and Knio on the dynamics of threecoaxial vortex rings in an ideal fluid. In particular, it isproved …