Finite aspect ratio Taylor-Couette flow: Shil'nikov dynamics of 2-tori

Mathematics

• Taylor-Couette Flow 100%
• Aspect Ratio 73%
• Codimension 52%
• Torus 47%
• Bifurcation 45%
• Direct numerical Simulation 41%
• Heteroclinic Connection 41%
• Quasi-periodic Solutions 36%
• Container 35%
• Local Bifurcations 35%
• Chaotic Dynamics 34%
• Nonlinear Dynamics 31%
• Cusp 31%
• Cascade 30%
• Reverse 28%
• Limit Cycle 27%
• Fold 26%
• Hopf Bifurcation 26%
• Navier-Stokes Equations 24%
• Unstable 24%
• Three-dimensional 20%
• Symmetry 20%
• Invariant 16%

Physics & Astronomy

• Couette flow 69%
• aspect ratio 52%
• cusps 21%
• containers 20%
• direct numerical simulation 19%
• Navier-Stokes equation 19%
• cascades 16%
• cycles 13%
• symmetry 11%

Engineering & Materials Science

• Aspect ratio 54%
• Hopf bifurcation 26%
• Direct numerical simulation 24%
• Bifurcation (mathematics) 24%
• Navier Stokes equations 19%
• Containers 18%