Modeling maps by using rational functions

@article{Menard2000ModelingMB,
  title={Modeling maps by using rational functions},
  author={J A Menard and Letellier and Maquet and Gouesbet},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={2000},
  volume={62 5 Pt A},
  pages={6325-31}
}
Rational functions are not very useful for obtaining global differential models because they involve poles that may eject the trajectory to infinity. In contrast, it is here shown that they allow one to significantly improve the quality of models for maps. In such a case, the presence of poles does not involve any numerical difficulty when the models are… CONTINUE READING