108 citations · 965 across the 52 of their papers we have counts for
5 papers · 1 filter
Periodic solutions of N-vortex type Hamiltonian systems near the domain boundary
Thomas Bartsch, Qianhui Dai, Björn Gebhard
The paper deals with the existence of nonstationary collision-free periodic solutions of singular first order Hamiltonian systems of -vortex type in a domain $Ω\subset\mathbb{C}…
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 in a domain $Ω\subset…
Periodic solutions of singular first-order Hamiltonian systems of N-vortex type
Thomas Bartsch
We are concerned with the dynamics of point vortices in a planar domain. This is described by a Hamiltonian system \[ Γ_k\dot{z}_k(t)=J\n…
Global continua of periodic solutions of singular first-order Hamiltonian systems of N-vortex type
Thomas Bartsch, Björn Gebhard
The paper deals with singular first order Hamiltonian systems of the form \[ Γ_k\dot{z}_k(t)=J\nabla_{z_k} H\big(z(t)\big),\quad z_k(t) \in Ω\subset \mathbb{R}^2,\ k=1,\dots,N, \]…
Periodic solutions of the N-vortex Hamiltonian system in planar domains
Thomas Bartsch, Qianhui Dai
We investigate the existence of collision-free nonconstant periodic solutions of the -vortex problem in domains . These are solutions $z(t)=(z_1(t),\dots,z_N…