Home > Articles > Published articles > Many periodic solutions for a second order cubic periodic differential equation |
Date: | 2020 |
Abstract: | The aim of this work is to provide results that assure the existence of many isolated T-periodic solutions for T-periodic second-order differential equations of the form x'' = a(t)x+b(t)x2+c(t)x3. We use bifurcation methods, including Malkin functions and results of Fonda, Sabatini and Zanolin. In addition, we give a general result that assures the existence of a T-periodic perturbation of a non-isochronous center with an arbitrary number of T-periodic solutions. |
Grants: | Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Second order differential equation ; Cubic ; Periodic ; Bifurcation methods |
Published in: | Monatshefte fur Mathematik, vol. 193 (May 2020) p. 555-572, ISSN 0026-9255 |
Postprint 16 p, 311.8 KB |