Analysing the stability of a delay differential equation involving two delays

Pramana: Journal of physics

SACHIN BHALEKAR^1¹ 

[1] Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur 416 004, India^1

关键词: Fractional order;    chaos;    multiple delay;    stability;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Analysis of systems involving delay is a popular topic among the applied scientists. In the present work, we analyse the generalised equation $D^{\alpha}x(t) = g(x(t − \tau_{1}), x(t − \tau_{2}))$ involving two delays, viz. $\tau_{1} \geq 0$ and $\tau_{2} \geq 0$. We use stability conditions to propose the critical values of delays.Using examples,we show that the chaotic oscillations are observed in the unstable region only. We also propose a numerical scheme to solve such equations.

【 授权许可】

CC BY