Bifurcation Analysis of a Coupled System Between a Transport Equation and an Ordinary Differential Equation with Time Delay

被引：3

作者：

Nicaise, Serge ^{[1
]}

Paolucci, Alessandro ^{[2
]}

Pignotti, Cristina ^{[2
]}

机构：

[1] Univ Polytech Hauts France, LAMAV, CNRS, FR 2956, F-59313 Valenciennes, France

[2] Univ Aquila, Dipartimento Ingn Sci Informaz & Matemat, Via Vetoio, I-67010 Laquila, Italy

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2023年 / 35卷 / 02期

关键词：

FEEDBACK STABILIZATION; BOUNDARY FEEDBACK; STABILITY;

D O I：

10.1007/s10884-021-10048-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1369 / 1388

页数：20

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