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.
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页码：1369 / 1388
页数：20
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