Periodic solutions with prescribed minimal period of vortex type problem in domains

Thomas Bartsch, Matteo Sacchet

We consider Hamiltonian systems with two degrees of freedom of point vortex type \[ κ_j \dot{z}_j = J \nabla_{z_j} H_Ω(z_1,z_2), \quad j=1,2, \] for $z_1,z_2$ in a domain $Ω\subset…