arXiv:math/0103163 Abstract

arXiv:math/0103163 [math.DS]Abstract References Reviews Resources

Periodic Perturbations of Non-Conservative Second Order Differential Equations

Published 2001-03-26, updated 2001-06-29Version 2

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.

Comments: 7 pages

Categories: math.DS, math.CA

Subjects: 34C25, 34C35

Keywords: non-conservative second order differential equations, periodic perturbations, polynomial systems, lienard equation, periodic solutions

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