Degenerate Resonances in Hamiltonian Systems: From Poincaré–Birkhoff Chains to Vortex Pairs and Kármán Vortex Streets

Resumo

For Hamiltonian systems with two degrees of freedom, close to nonlinear integrable systems, we discuss rearrangements in the degenerate resonance zones in terms of the averaged system normalized near the resonance. For degeneracy order n = 3 we describe typical rearrangements of phase portraits connected with passage from Poincaré–Birkhoff chains to vortex pairs and Kármán vortex streets. Bibliography: 16 titles.