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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/084/02/0217-0228

    • Keywords

       

      Complex networks; dynamic links; blow-ups; catastrophe.

    • Abstract

       

      In this paper, we review and extend the results from our recently published work [Scientific Reports (Nature) 4, 4308] on taming explosive growth in spatially extended systems. Specifically, we consider collections of relaxation oscillators, which are relevant to modelling phenomena ranging from engineering to biology, under varying coupling topologies. We find that the system witnesses unbounded growth under regular connections on a ring, for sufficiently strong coupling strengths. However, when a fraction of the regular connections are dynamically rewired to random links, this blow-up is suppressed. We present the critical value of random links necessary for successful prevention of explosive growth in the oscillators for varying network rewiring time-scales. Further, we outline our analysis on the possible mechanisms behind the occurrence of catastrophes and how the switching of links helps to suppress them.

    • Author Affiliations

       

      Anshul Choudhary1 Vivek Kohar1 Sudeshna Sinha1

      1. Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, SAS Nagar, Sector 81, Manauli 140 306, India
    • Dates

       
  • Pramana – Journal of Physics | News

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