Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications

@article{Li2014MelnikovTypeMF,
  title={Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications},
  author={Shuangbao Li and Wei Zhang and Yuxin Hao},
  journal={I. J. Bifurcation and Chaos},
  year={2014},
  volume={24}
}
In this paper, we extend the well-known Melnikov method for smooth systems to a class of periodic perturbed piecewise smooth planar system. We assume that the unperturbed system is a piecewise Hamiltonian system which possesses a piecewise smooth homoclinic solution transversally crossing the switching manifold. The Melnikov-type function is explicitly… CONTINUE READING