• Degenerate Hopf bifurcation in a self-exciting Faraday disc dynamo

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/088/06/0087

    • Keywords

       

      Chaotic attractor; Faraday disc dynamo; Lyapunov coefficient; degenerate Hopf bifurcations

    • Abstract

       

      In order to further understand a self-exciting Faraday disc dynamo (Hide $\it{et al}$, in $\it{Proc. R. Soc}.$ A $\bf{452}$, 1369 1996), showing chaotic attractors with very complicated topological structures, we present codimension one and two (degenerate) Hopf bifurcations and prove the existence of periodic solutions. In addition, numerical simulations are given for confirming the theoretical results.

    • Author Affiliations

       

      WEIQUAN PAN1 LIJIE LI2

      1. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai 200433, People’s Republic of China
      2. Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, Guangxi, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.