On the periodic solutions of a class of Duffing differential equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Roberto, Lucy Any (Ibilce - UNESP(Brasil). Departamento de Matemática)

Date:	2013
Abstract:	In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation x'' + cx' +a(t)x + b(t)x3 = λh(t), where c > 0 is a constant, λ is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. Our results are proved using the averaging method of first order.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author is partially supported by HBP-2009-0025-PC and CAPES/MECD-DGU 015/2010 Brazil and Spain, process number BEX 4251/10-5.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic solution ; Averaging method ; Duffing differential equation ; Bifurcation ; Stability
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 1 (2013) , p. 277-282, ISSN 1553-5231

DOI: 10.3934/dcds.2013.33.277

Postprint 7 p, 623.4 KB

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