A note on stability of Mackey Glass equations with two delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Berezansky, Leonid¹  Braverman, Elena² 

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Univ Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N IN4, Canada

关键词: Mackey-Glass equation;    Two delays;    Local stability;    Instability;    Global stability;    Non-oscillatory unstable solutions;   

DOI  :  10.1016/j.jmaa.2017.01.050

来源: Elsevier

【 摘 要 】

If the Mackey-Glass equation (x)over dot = r(t) [ax(h(t))/1+x(v) (g(t)) - x(t)] with a > 1 and v > 0 incorporates not one but two variable delays, some new phenomena arise: there may exist non -oscillatory about the positive equilibrium unstable solutions, the effect of possible absolute stability for certain a and v disappears. We obtain sufficient conditions for local and global stability of the positive equilibrium and illustrate the stability tests, as well as new effects of two different delays, with examples. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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