Choreographic Holomorphic Spheres with Application to Hamiltonian Systems of $N$-Vortex Type
Dynamical Systems
2018-11-19 v1
Abstract
We study the existence of (relative) simple choreographies for a class of Hamiltonian systems describing the interaction of particles in the plane motivated mainly by the n-vortex type problem. In particular, by constructing choreographic pseudo-holomorphic spheres, we prove that there exist infinitely many non-trivial relative choreographies for the identical n-vortex problem arising from both the Euler equation and the Gross-Pitaevskii equation.
Keywords
Cite
@article{arxiv.1811.06595,
title = {Choreographic Holomorphic Spheres with Application to Hamiltonian Systems of $N$-Vortex Type},
author = {Qun Wang},
journal= {arXiv preprint arXiv:1811.06595},
year = {2018}
}
Comments
31 pages, 4 figures