22 citations · 104 across the 14 of their papers we have counts for
5 papers · 1 filter
Stability of periodic solutions of the N-vortex problem in general domains
Björn Gebhard, Rafael Ortega
We investigate stability properties of a type of periodic solutions of the -vortex problem on general domains . The solutions in question bifurcate from r…
Periodic solutions for the N-vortex problem via a superposition principle
Björn Gebhard
We examine the -vortex problem on general domains concerning the existence of nonstationary collision-free periodic solutions. The problem in question is…
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 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 \[ Γ_k\dot{z}_k(t)=J\nabla_{z_k} H\big(z(t)\big),\quad z_k(t) \in Ω\subset \mathbb{R}^2,\ k=1,\dots,N, \]…