• Analysing the stability of a delay differential equation involving two delays

• Fulltext

https://www.ias.ac.in/article/fulltext/pram/093/02/0024

• Keywords

Fractional order; chaos; multiple delay; stability

• Abstract

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.

• Author Affiliations

1. Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur 416 004, India

• Pramana – Journal of Physics

Volume 95, 2021
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Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019