Periodic Perturbations of Non-Conservative Second Order Differential Equations

2001/03/26 by A. Raouf Chouikha, Chouikha, A. Raouf
Mathematics · #34C25 #34C35 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CA #math.DS #msc:34C25 #msc:34C35

paper · pdf · doi:10.48550/arxiv.math/0103163

7 pages

arxiv created 2001/06/29 · arxiv updated 2009/11/30

Abstract

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) = εh(t). \it Key Words: perturbed systems, Lienard equation, polynomial systems.

Related

• The Period Function of Second Order Differential Equations
• Periodic perturbations of a class of scalar second order functional differential equations
• On the existence of periodic solution of perturbed generalized Liénard equations
• Monotonicity of the period function of the Liénard equation of second kind
• Period two implies chaos for a class of ODEs: a dynamical system approach