KAM theory analysis of the dynamics of three coaxial vortex rings

Mathematics

• Vortex Ring 100%
• KAM Theory 89%
• Coaxial 85%
• Ring 42%
• Quasi-periodic Motion 31%
• Point Vortex 29%
• Vortex 22%
• Vorticity 22%
• Equations of Motion 21%
• Hamiltonian Systems 20%
• Degree of freedom 19%
• Euclidean 17%
• Radius 17%
• Periodic Solution 17%
• Motion 15%
• Perturbation 15%
• Decompose 14%
• Invariant 12%
• Estimate 10%
• Form 8%

Physics & Astronomy

• vortex rings 82%
• rings 44%
• Hamiltonian functions 33%
• vortices 32%
• vorticity 21%
• equations of motion 18%
• degrees of freedom 17%
• decomposition 16%
• perturbation 14%
• radii 13%
• estimates 12%

Engineering & Materials Science

• Hamiltonians 77%
• Vortex flow 56%
• Vorticity 25%
• Equations of motion 20%
• Decomposition 15%