The movies below illustrate shadowing of exact coherent structures by weakly turbulent Taylor-Couette flow. Inner and outer Reynolds numbers are 1200 and -1200, respectively. The radius ratio eta is 0.5 and the aspect (height to gap) ratio Gamma is 1. The properties of all the exact coherent structures found in this regime, including the solutions themselves, can be found on GitHub.
Shadowing of the relative equlibrium (traveling wave) TW01
Shadowing of the relative periodic orbit RPO01
Shadowing of the relative periodic orbit RPO05
Shadowing of the symmetric copy of the relative periodic orbit RPO05
Shadowing of the relative periodic orbit RPO15
Shadowing of the relative periodic orbit RPO12 by the relative periodic orbit RPO07