• Synchronization and basin bifurcations in mutually coupled oscillators

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      https://www.ias.ac.in/article/fulltext/pram/068/05/0749-0756

    • Keywords

       

      Synchronization; fractal basins; Duffing oscillator; cross-well chaos.

    • Abstract

       

      Synchronization behaviour of two mutually coupled double-well Duffig oscillators exhibiting cross-well chaos is examined. Synchronization of the subsystems was observed for coupling strength $k > 0.4$. It is found that when the oscillators are operated in the regime for which two attractors coexist in phase space, basin bifurcation sequences occur leading to $n + 1$, $n \geq 2$ basins as the coupling is varied – a signature of Wada structure and final-state sensitivity. However, in the region of complete synchronization, the basins structure is identical with that of the single oscillators and retains its essential features including fractal basin boundaries.

    • Author Affiliations

       

      U E Vincent1 A N Njah2 O Akinlade2

      1. Nonlinear and Statistical Physics Research Group, Department of Physics, Olabisi Onabanjo University, P.M.B. 2002, Ago-Iwoye, Nigeria
      2. Department of Physics, College of Natural Sciences, University of Agriculture, Abeokuta, Nigeria
    • Dates

       
  • Pramana – Journal of Physics | News

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