Limit cycles for a class of eleventh $\mathbb{Z}_{12}-$equivariant systems without infinite critical points
Dynamical Systems
2016-11-09 v3
Abstract
We analyze the complex dynamics dynamics of a family of equivariant planar systems, by using their reduction to an Abel equation. We derive conditions in the parameter space that allow uniqueness and hyperbolicity of a limit cycle surrounding either or equilibria.
Keywords
Cite
@article{arxiv.1511.09243,
title = {Limit cycles for a class of eleventh $\mathbb{Z}_{12}-$equivariant systems without infinite critical points},
author = {Adrian C. Murza},
journal= {arXiv preprint arXiv:1511.09243},
year = {2016}
}
Comments
12 pages, 1 figure