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

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    • 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



      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

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      Posted on July 25, 2019

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