Periodic solutions for nonlinear differential systems: The second order bifurcation function
Buica, Adriana (Babes-Bolyai University(Romania). Department of Mathematics)
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2014
Abstract:	We are concerned here with the classical problem of Poincaré of persistence of periodic solutions under small perturbations. The main contribution of this work is to give the expression of the second order bifurcation function in more general hypotheses than the ones already existing in the literature. We illustrate our main result constructing a second order bifurcation function for the perturbed symmetric Euler top.
Grants:	Ministerio de Ciencia e Innovación MTM2011-22877 Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-381 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments/Ajudes: The first author was also partially supported by a grant of the Romanian National Authority for Scientific Research, CNCS UEFISCDI, project number PN-II-ID-PCE-2011-3-0094.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic solution ; Lyapunov-Schmidt reduction ; Period manifold ; Small parameter ; The second order bifurcation function
Published in:	Topological Methods in Nonlinear Analysis, Vol. 43 Núm. 2 (2014) , p. 403-419, ISSN 1230-3429

Postprint 14 p, 608.8 KB

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