Center conditions: pull back of differential equations
Complex Variables
2020-08-28 v2 Algebraic Topology
Dynamical Systems
Abstract
The space of polynomial differential equations of a fixed degree with a center singularity has many irreducible components. We prove that pull back differential equations form an irreducible component of such a space. The method used in this article is inspired by Ilyashenko and Movasati s method. The main concepts are the Picard Lefschetz theory of a polynomial in two variables with complex coefficients, the Dynkin diagram of the polynomial and the iterated integral.
Cite
@article{arxiv.1708.06043,
title = {Center conditions: pull back of differential equations},
author = {Yadollah Zare},
journal= {arXiv preprint arXiv:1708.06043},
year = {2020}
}