A Chebyshev criterion for Abelian integrals
Dynamical Systems
2008-05-09 v2
Abstract
We present a criterion that provides an easy sufficient condition in order that a collection of Abelian integrals has the Chebyshev property. This condition involves the functions in the integrand of the Abelian integrals and can be checked, in many cases, in a purely algebraic way. By using this criterion, several known results are obtained in a shorter way and some new results, which could not be tackled by the known standard methods, can also be deduced.
Keywords
Cite
@article{arxiv.0805.1140,
title = {A Chebyshev criterion for Abelian integrals},
author = {Maite Grau and Francesc Mañosas and Jordi Villadelprat},
journal= {arXiv preprint arXiv:0805.1140},
year = {2008}
}
Comments
17 pages, 1 figure