Bifurcations and symmetry breaking in the wake of axisymmetric bodies

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Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability (2016, result): “This distribution is reminiscent of that found in the yin-yang mode that emerges from the secondary Hopf bifurcation in the wake of a tethered infinitely thin disk [57] or from higher-order bifurcations in the case of thicker disks [58].”
Wake-Induced Oscillatory Paths of Bodies Freely Rising or Falling in Fluids (2012, methodology): “The force and torque balances in Equation 1 were analyzed by Andersen et al. (2005b), using experimental and DNS data.”
Falling styles of disks (2012, result): “Then, the bifurcation scenario for fixed disks with χ > 10 which, up to Re = 185, involves a succession of two periodic regimes with different symmetries (Fabre et al. 2008) also totally differs from the various SV-ZZ transition scenarios encountered here.”