ar X iv : 0 70 9 . 46 43 v 1 [ m at h . C A ] 2 8 Se p 20 07 PERIODIC SOLUTIONS OF PERIODICALLY PERTURBED PLANAR AUTONOMOUS SYSTEMS : A TOPOLOGICAL APPROACH

Abstract

Aim of this paper is to investigate the existence of periodic solutions of a nonlinear planar autonomous system having a limit cycle x0 of least period T0 > 0 when it is perturbed by a small parameter, T1−periodic, perturbation. In the case when T0/T1 is a rational number l/k, with l, k prime numbers, we provide conditions to guarantee, for the parameter… (More)

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Cite this paper

@inproceedings{Nistri2008arXI, title={ar X iv : 0 70 9 . 46 43 v 1 [ m at h . C A ] 2 8 Se p 20 07 PERIODIC SOLUTIONS OF PERIODICALLY PERTURBED PLANAR AUTONOMOUS SYSTEMS : A TOPOLOGICAL APPROACH}, author={Paolo Nistri}, year={2008} }