Total convergence or general divergence in Small Divisors
动力系统
2009-10-31 v1 混沌动力学
摘要
We study generic holomorphic families of dynamical systems presenting problems of small divisors with fixed arithmetic. We prove that we have convergence for all parameter values or divergence everywhere except for an exceptional set in the potential theory sense. We illustrate this general principle in different problems of small divisors.
引用
@article{arxiv.math/0009029,
title = {Total convergence or general divergence in Small Divisors},
author = {Ricardo Perez-Marco},
journal= {arXiv preprint arXiv:math/0009029},
year = {2009}
}