Automated computation of robust normal forms of planar analytic vector fields
Dynamical Systems
2010-01-24 v1
Abstract
We construct an auto-validated algorithm that calculates a close to identity change of variables which brings a general saddle point into a normal form. The transformation is robust in the underlying vector field, and is analytic on a computable neighborhood of the saddle point. The normal form is suitable for computations aimed at enclosing the flow close to the saddle, and the time it takes a trajectory to pass it. Several examples illustrate the usefulness of this method.
Keywords
Cite
@article{arxiv.0810.5282,
title = {Automated computation of robust normal forms of planar analytic vector fields},
author = {Tomas Johnson and Warwick Tucker},
journal= {arXiv preprint arXiv:0810.5282},
year = {2010}
}