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math.DS2016★ 12 cited
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}…
math.DS2014★ 24 cited
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…