2 papers
math.DS2025
Phase portraits and the bifurcation set for the three-vortex interaction system
Atul Anurag, Roy H. Goodman
We derive a symplectic reduction of the evolution equations for a system of three interacting point vortices in the plane, first introducing Jacobi coordinates, then Lie-Poisson re…
math.DS2024
A new canonical reduction of three-vortex motion and its application to vortex-dipole scattering
Atul Anurag, Roy H. Goodman, Ellison K. O'Grady
We introduce a new reduction of the motion of three point vortices in a two-dimensional ideal fluid. This proceeds in two stages: a change of variables to Jacobi coordinates and th…