Isochronous solutions of a 3-dim symmetric quadratic system

Yongjun Li and Valery G. Romanovski

Applied Mathematics and Computation, 2021, vol. 405, issue C

Abstract: In a family of real quadratic three dimensional systems symmetric with respect to a plane we look for subfamilies having center manifolds filled with isochronous periodic orbits. Eleven such subfamilies are detected and it is shown that for ten of them there are Darboux type substitutions transforming the subfamilies to systems which are linear on center manifolds. We also give an example of a 3-dim quadratic system with a compact isochronous periodic annulus.

Keywords: 3-dim quadratic system; periodic solutions; isochronicity; linearizability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003404

DOI: 10.1016/j.amc.2021.126250

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