{"docId":7496,"paperId":7336,"url":"https:\/\/ocnmp.episciences.org\/7336","doi":"10.46298\/ocnmp.7336","journalName":"Open Communications in Nonlinear Mathematical Physics","issn":"","eissn":"2802-9356","volume":[{"vid":443,"name":"Volume 1"}],"section":[],"repositoryName":"arXiv","repositoryIdentifier":"2104.03073","repositoryVersion":2,"repositoryLink":"https:\/\/arxiv.org\/abs\/2104.03073v2","dateSubmitted":"2021-04-08 16:24:38","dateAccepted":"2021-05-15 15:02:16","datePublished":"2021-05-20 15:03:36","titles":["Explicitly solvable systems of two autonomous first-order Ordinary\n Differential Equations with homogeneous quadratic right-hand sides"],"authors":["Calogero, Francesco","Payandeh, Farrin"],"abstracts":["After tersely reviewing the various meanings that can be given to the property of a system of nonlinear ODEs to be solvable, we identify a special case of the system of two first-order ODEs with homogeneous quadratic right-hand sides which is explicitly solvable. It is identified by 2 explicit algebraic constraints on the 6 a priori arbitrary parameters that characterize this system. Simple extensions of this model to cases with nonhomogeneous quadratic right-hand sides are also identified, including isochronous cases.","Comment: 18 pages"],"keywords":["Mathematics - Dynamical Systems"]}