Hamiltonian structure and dynamics of a neutrally buoyant rigid sphere interacting with thin vortex rings

Mathematics

• Vortex Ring 100%
• Hamiltonian Dynamics 90%
• Hamiltonian Structure 78%
• Axisymmetry 26%
• Vortex Filament 23%
• Model 21%
• Ideal Fluid 19%
• Perpendicular 18%
• Dynamic Behavior 18%
• Arbitrary 16%
• Rigid Body 16%
• Dynamic Systems 16%
• Equations of Motion 15%
• Governing equation 15%
• Entire 13%
• Circle 13%
• Orbit 12%
• Interaction 11%
• Symmetry 11%
• Ring 10%
• Curve 9%
• Closed 9%
• Framework 9%

Engineering & Materials Science

• Hamiltonians 77%
• Vortex flow 56%
• Ordinary differential equations 17%
• Equations of motion 15%
• Orbits 14%
• Dynamical systems 13%
• Fluids 10%

Physics & Astronomy

• vortex rings 82%
• vortex filaments 18%
• symmetry 15%
• rigid structures 14%
• equations of motion 11%
• plots 10%
• differential equations 10%
• orbits 9%
• rings 8%
• curves 7%
• interactions 5%