English

Normalizers of planar systems with known first integrals

Dynamical Systems 2007-05-23 v1 Classical Analysis and ODEs

Abstract

Given a planar differential system with a first integral, we show how to find a normalizer. For systems with a center, we give an integral formula for the derivative of its period function.

Keywords

Cite

@article{arxiv.math/0603422,
  title  = {Normalizers of planar systems with known first integrals},
  author = {Marco Sabatini},
  journal= {arXiv preprint arXiv:math/0603422},
  year   = {2007}
}