A continuation principle for a class of periodically perturbed autonomous systems

@inproceedings{Kamenskii2008ACP,
  title={A continuation principle for a class of periodically perturbed autonomous systems},
  author={Mikhail Kamenskii and Oleg Makarenkov and Paolo Nistri},
  year={2008}
}
with ε > 0 small. The main goal of the paper is to provide conditions ens uri g the existence of T -periodic solutions to (PS) belonging to a given open set W ⊂ C([0, T ],R). This problem is considered in the case when the boundary∂W of W contains at most a finite number of nondegenerate T -periodic solutions of the autonomous systeṁx = ψ(x). The starting point of our approach is the following propert y due to Malkin: if for any T -periodic limit cyclex0 of ẋ = ψ(x) belonging to∂W the so-called… CONTINUE READING