On the non-existence of isochronous centers in planar discontinuous differential systems
Dynamical Systems
2023-11-17 v1
Abstract
The determination of whether a center is isochronous or not is a well-known problem in the qualitative theory of planar systems. In this paper, we explore planar piecewise discontinuous differential systems characterized by a straight switching line and , respectively. Our investigation reveals that such systems do not possess an isochronous center at the origin.
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Cite
@article{arxiv.2311.10020,
title = {On the non-existence of isochronous centers in planar discontinuous differential systems},
author = {Ali Bakhshalizadeh and Changjian Liu and Alex C. Rezende},
journal= {arXiv preprint arXiv:2311.10020},
year = {2023}
}
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7 pages