Bifurcations in Delay Differential Equations: an algorithmic approach in frequency domain
Dynamical Systems
2017-01-26 v1
Abstract
In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.
Cite
@article{arxiv.1609.07763,
title = {Bifurcations in Delay Differential Equations: an algorithmic approach in frequency domain},
author = {Andrea Bel and Walter Reartes and Ana Torresi},
journal= {arXiv preprint arXiv:1609.07763},
year = {2017}
}
Comments
20 pages