KAM theory analysis of the dynamics of three coaxial vortex rings

Keyphrases

• Chaotic Regime 50%
• Completely Integrable 50%
• Degrees of Freedom 50%
• Equations of Motion 50%
• Euclidean 3-space 50%
• Existence of Periodic Solutions 50%
• Hamiltonian Function 50%
• Hamiltonian Systems 50%
• Initial Position 50%
• Integrable Perturbation 50%
• KAM Theory 100%
• Mean Distance 50%
• Mean Radius 50%
• Point Vortices 50%
• Quasi-periodic 50%
• Quasi-periodic Motion 50%
• Reduced Form 50%
• Theory Analysis 100%
• Two-dimensional Torus 50%
• Vortex Ring 100%
• Vortex Strength 50%
• Vorticity 50%

Mathematics

• Degree of Freedom 50%
• Hamiltonian 50%
• Hamiltonian Function 50%
• Hamiltonian Systems 50%
• Initial Position 50%
• Periodic Solution 50%
• Reduced Form 50%
• Vortex Ring 100%