It is shown that placing a Kirchhoff vortex in a weak resonant strain having uniform, but oscillating strain rate with chirped oscillation frequency, allows adiabatic control of the axis ratio ρ=a/b and rotation phase of the vortex. The phenomenon has a threshold on the amplitude of oscillations of the strain rate and is due to the persisting nonlinear phase locking (autoresonance) between the elliptic vortex and the adiabatically varying straining flow.
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L. Frièdland (1999) studied this question.
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