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      https://www.ias.ac.in/article/fulltext/pram/084/02/0203-0215

    • Keywords

       

      Chaos; mixed synchronization; partial control.

    • Abstract

       

      A design of coupling is proposed to control partial synchronization in two chaotic oscillators in a driver–response mode. A control of synchrony between one response variables is made possible (a transition from a complete synchronization to antisynchronization via amplitude death and vice versa without loss of synchrony) keeping the other pairs of variables undisturbed in their pre-desired states of coherence. Further, one of the response variables can be controlled so as to follow the dynamics of an external signal (periodic or chaotic) while keeping the coherent status of other variables unchanged. The stability of synchronization is established using the Hurwitz matrix criterion. Numerical example of an ecological foodweb model is presented. The control scheme is demonstrated in an electronic circuit of the Sprott system.

    • Author Affiliations

       

      R Banerjee1 E Padmanaban2 S K Dana2

      1. Department of Mathematics, University of Technology and Management, Shillong 793 003, India
      2. Central Instrumentation Division, CSIR-Indian Institute of Chemical Biology, Kolkata 700 032, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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