Symmetry-breaking Hopf bifurcations to 1-, 2-, and 3-tori in small-aspect-ratio counterrotating Taylor-Couette flow

Mathematics

• Taylor-Couette Flow 100%
• Aspect Ratio 73%
• Symmetry Breaking 70%
• Hopf Bifurcation 52%
• Torus 47%
• Ring or annulus 25%
• Axisymmetry 18%
• Bifurcation 18%
• Reflectional symmetry 16%
• Symmetry 16%
• Quasi-periodic Solutions 14%
• Normal Form Theory 13%
• Angular Momentum 13%
• Flip 13%
• Invariant 13%
• Saddle 12%
• Nonlinear Dynamics 12%
• Limit Cycle 10%
• Equivariant 10%
• Boundary Layer 10%
• Physics 9%
• Navier-Stokes Equations 9%
• Circle 9%
• Numerical Simulation 8%
• Dynamical system 8%
• Three-dimensional 8%
• Vertex of a graph 6%
• Arbitrary 6%

Physics & Astronomy

• Couette flow 69%
• aspect ratio 52%
• broken symmetry 51%
• symmetry 34%
• annuli 33%
• saddles 17%
• dynamical systems 14%
• Navier-Stokes equation 14%
• boundary layers 12%
• angular momentum 12%
• cycles 9%
• physics 9%
• simulation 5%

Medicine & Life Sciences

• Nonlinear Dynamics 25%
• Physics 23%