Periodic Solutions of the Planar N-Center Problem with topological constraints
Dynamical Systems
2015-09-17 v2
Abstract
In the planar -center problem, for a non-trivial free homotopy class of the configuration space satisfying certain mild condition, we show that there is at least one collision free -periodic solution for any positive We use the direct method of calculus of variations and the main difficulty is to show that minimizers under certain topological constraints are free of collision.
Keywords
Cite
@article{arxiv.1507.02883,
title = {Periodic Solutions of the Planar N-Center Problem with topological constraints},
author = {Guowei Yu},
journal= {arXiv preprint arXiv:1507.02883},
year = {2015}
}
Comments
34 pages, 5 figures, major revision in section 4, minor revision in section 1