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
收藏
页码：1369 / 1388
页数：20
相关论文
共 50 条
  • [31] Hopf bifurcation analysis of a general non-linear differential equation with delay
    Akkocaoglu, Hande
    Merdan, Huseyin
    Celik, Canan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 237 (01) : 565 - 575
  • [32] Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection
    Yang, Xinchao
    Zong, Xiju
    Cheng, Xingong
    Han, Zhenlai
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [33] AN ORDINARY DIFFERENTIAL EQUATION
    DRIVER, RD
    THOMPSON, RJ
    SASSER, DW
    AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (08): : 948 - &
  • [34] Ordinary differential equation approximation of gamma distributed delay model
    Wojciech Krzyzanski
    Journal of Pharmacokinetics and Pharmacodynamics, 2019, 46 : 53 - 63
  • [35] Ordinary differential equation approximation of gamma distributed delay model
    Krzyzanski, Wojciech
    JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2019, 46 (01) : 53 - 63
  • [36] Analysis for fractional integro-differential equation with time delay
    Soliman, A. A.
    Raslan, K. R.
    Abdallah, A. M.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (46): : 989 - 1007
  • [37] Stability, bifurcation and a new chaos in the logistic differential equation with delay
    Jiang, MH
    Shen, Y
    Jian, JG
    Liao, XX
    PHYSICS LETTERS A, 2006, 350 (3-4) : 221 - 227
  • [38] Bifurcation of periodic solutions of delay differential equation with two delays
    Bi, P
    Han, M
    Wu, YH
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 284 (02) : 548 - 563
  • [39] An example of Bautin-type bifurcation in a delay differential equation
    Ion, Anca-Veronica
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (02) : 777 - 789
  • [40] Bifurcation of periodic solutions with large periods for a delay differential equation
    Hans-Otto Walther
    Annali di Matematica Pura ed Applicata, 2006, 185 : 577 - 611
12345