Polynomial vector fields on the Clifford torus
Dynamical Systems
2017-07-28 v1
Abstract
First we characterize all the polynomial vector fields in which have the Clifford torus as an invariant surface. After we study the number of invariant meridians and parallels that such polynomial vector fields can have in function of the degree of these vector fields.
Keywords
Cite
@article{arxiv.1707.08859,
title = {Polynomial vector fields on the Clifford torus},
author = {Jaume Llibre and Adrian C. Murza},
journal= {arXiv preprint arXiv:1707.08859},
year = {2017}
}
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8 pages