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

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      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

       

      SACHIN BHALEKAR1

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

       
  • Pramana – Journal of Physics | News

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