Periodic Perturbations of Non-Conservative Second Order Differential Equations

Details Periodic Perturbations of Non-Conservative Second Order Differential Equations Periodic Perturbations of Non-Conservative Second Order Differential Equations

2001-03-26

arxiv.org/abs/math/0103163v2

Mathematics

Dynamical Systems

7 pages

Scientific paper

Consider the Lienard system $ u'' + f(u) u' + g(u) = 0$ with a center at the
origin 0. In the case where the period function $T$ is monotonic, we examine
periodic solutions of the perturbed equation $ u'' + a(u)u' + f(u) = \epsilon
h(t)$. {\it Key Words:} perturbed systems, Lienard equation, polynomial
systems.

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