Periodic solutions for nonlinear differential systems: the second order bifurcation function
KeywordsPeriodic solution, Lyapunov-Schmidt reduction, period manifold, small parameter, the second order bifurcation function
AbstractWe 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.
How to Cite
BUICĂ, Adriana, GINÉ, Jaume & LLIBRE, Jaume. Periodic solutions for nonlinear differential systems: the second order bifurcation function. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 43, nr 2, s. 403–419. [accessed 29.3.2023].
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