Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies

@inproceedings{Gentile2007BifurcationCO,
  title={Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies},
  author={Guido Gentile and Michele Bartuccelli and Jonathan H. B. Deane},
  year={2007}
}
We study perturbations of a class of analytic two-dimensional autonomous systems with perturbations depending periodically on time; for instance one can imagine a periodically driven or forced system with one degree of freedom. In the first part of the paper, we revisit a problem considered by Chow and Hale on the existence of subharmonic solutions. In the… CONTINUE READING