Home > Articles > Published articles > Periodic solutions for nonlinear differential systems: The second order bifurcation function |
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 |