Modeling maps by using rational functions

Citation
O. Menard et al., Modeling maps by using rational functions, PHYS REV E, 62(5), 2000, pp. 6325-6331
Citations number
18
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
62
Issue
5
Year of publication
2000
Part
A
Pages
6325 - 6331
Database
ISI
SICI code
1063-651X(200011)62:5<6325:MMBURF>2.0.ZU;2-W
Abstract
Rational functions are not very useful for obtaining global differential mo dels 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 iterated. The mode ls then take advantage of the ability of rational functions to capture comp licated structures that may be generated by maps. The method is applied to experimental data from copper electrodissolution.