Realization of Arbitrary Configuration of Limit Cycles of Piecewise Linear System
Classical Analysis and ODEs
2018-03-21 v1
Abstract
In this paper, we consider the realization of configuration of limit cycles of piecewise linear systems on the plane. We show that any configuration of Jordan curves can be realized by a discontinuous piecewise linear system with two zones separated by a continuous curve.
Keywords
Cite
@article{arxiv.1803.07222,
title = {Realization of Arbitrary Configuration of Limit Cycles of Piecewise Linear System},
author = {Shaoqing Wang and Jiazhong Yang},
journal= {arXiv preprint arXiv:1803.07222},
year = {2018}
}
Comments
4 figures, 14 pages