Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay
Analysis of PDEs
2020-07-20 v1
Abstract
In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney blood flow control). Through a careful spectral analysis we characterize the region of stability, namely the set of parameters for which the system is exponentially stable. Also, we perform a bifurcation analysis and determine some properties of the stable steady state set and the limit cycle oscillation region. Some numerical examples illustrate the theoretical results.
Keywords
Cite
@article{arxiv.2007.09014,
title = {Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay},
author = {Serge Nicaise and Alessandro Paolucci and Cristina Pignotti},
journal= {arXiv preprint arXiv:2007.09014},
year = {2020}
}