A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion

Keyphrases

• Vortex Ring 100%
• Ideal Fluid 100%
• Fixed Point Theorem 100%
• Birkhoff's Theorem 100%
• Three-dimensional (3D) 50%
• Motivation 50%
• Torus 50%
• Fluid Environment 50%
• Vorticity 50%
• Birkhoff 50%
• Finite-dimensional 50%
• Quasi-periodic Orbit 50%
• Periodic Trajectories 50%
• Small Perturbation 50%
• Vortex Strength 50%
• KAM Theory 50%
• Completely Integrable Hamiltonian Systems 50%

Mathematics

• Vortex Ring 100%
• Fixed Points 100%
• Point Theorem 100%
• Poincar-Birkhoff Theorem 100%
• Hamiltonian Systems 50%