Many periodic solutions for a second order cubic periodic differential equation
Buica, Adriana (Universitatea Babeş-Bolyai. Departamentul de Matematică (Romania))
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

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

DOI: 10.1007/s00605-020-01433-4

Postprint 16 p, 311.8 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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