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We consider the smooth, compactly supported solutions of the steady 3D Eulerequations of incompressible fluids constructed by Gavrilov in 2019, and westudy the corresponding fluid particle dynamics. This is an ode analysis, whichcontributes to the description of Gavrilov's vector field.

Nearly toroidal, periodic and quasi-periodic motions of fluid particles driven by the Gavrilov solutions of the Euler equations