{ "id": "math/0103163", "version": "v2", "published": "2001-03-26T10:22:06.000Z", "updated": "2001-06-29T09:29:35.000Z", "title": "Periodic Perturbations of Non-Conservative Second Order Differential Equations", "authors": [ "A. Raouf Chouikha" ], "comment": "7 pages", "categories": [ "math.DS", "math.CA" ], "abstract": "Consider the Lienard system $ u'' + f(u) u' + g(u) = 0$ with a center at the origin 0. In the case where the period function $T$ is monotonic, we examine periodic solutions of the perturbed equation $ u'' + a(u)u' + f(u) = \\epsilon h(t)$. {\\it Key Words:} perturbed systems, Lienard equation, polynomial systems.", "revisions": [ { "version": "v2", "updated": "2001-06-29T09:29:35.000Z" } ], "analyses": { "subjects": [ "34C25", "34C35" ], "keywords": [ "non-conservative second order differential equations", "periodic perturbations", "polynomial systems", "lienard equation", "periodic solutions" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......3163R" } } }