• Controlling chaos: Stabilization of fixed points and creation of new stable attractors in 1-D maps

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/043/06/0431-0442

    • Keywords

       

      Controlling chaos; unstable fixed points; Lyapunov exponents; transient time; noise

    • Abstract

       

      In this paper we have tried to stabilize the unstable fixed points for a class of 1-D maps by using a multiplicative nonlinear feedback control mechanism. We have also used such control to create new attractors (which did not exist in the original system), to suit our requirement. The control is also found to work in the presence of noise.

    • Author Affiliations

       

      Sangeeta D Gadre1 V S Varma1

      1. Department of Physics and Astrophysics, University of Delhi, Delhi - 110 007, India
    • Dates

       
  • Pramana – Journal of Physics | News

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