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arXiv · 2007.09014

Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay

Serge Nicaise·Alessandro Paolucci·Cristina Pignotti
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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.

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Serge Nicaise, Alessandro Paolucci, Cristina Pignotti. 2020-07-17. Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay. https://arxiv.org/abs/2007.09014

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