Abstract
Two interwoven helical vortices of the same circulation and pitch display a rich variety of dynamics. Using simplified models of straight vortices, ring vortices, and helical filaments, we introduce dynamical systems of a few degrees of freedom which we analyze in terms of orbits in phase spaces structured by hyperbolic and elliptic points. Possible inviscid motions, namely leapfrogging, overtaking and fluttering, are systematically described as a function of vortex pitch, core size, and initial configuration.
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