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13 p, 709.9 KB A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter / Buica, Adriana (Babeç-Bolyai University(Romania). Department of Applied Mathematics) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We deal with nonlinear T-periodic differential systems depending on a small parameter. The unperturbed system has an invariant manifold of periodic solutions. We provide the expressions of the bifurcation functions up to second order in the small parameter in order that their simple zeros are initial values of the periodic solutions that persist after the perturbation. [...]
2012 - 10.1016/j.physd.2011.11.007
Physica D. Nonlinear phenomena, Vol. 241 (2012) , p. 528-533  

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