• Controlling chaos: Stabilization of unstable orbits using exponential control for maps and flows

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/045/04/0355-0368

    • Keywords

       

      Controlling chaos; unstable orbits; Lyapunov exponents; transient time; spatiotemporal chaos

    • Abstract

       

      We demonstrate that chaos can be controlled using multiplicative exponential feedback control. Unstable fixed points, unstable limit cycles and unstable chaotic trajectories can all be stabilized using such control which is effective both for maps and flows. The control is of particular significance for systems with several degrees of freedom, as knowledge of only one variable on the desired unstable orbit is sufficient to settle the system onto that orbit. We find in all cases that the transient time is a decreasing function of the stiffness of control. But increasing the stiffness beyond an optimum value can increase the transient time. We have also used such a mechanism to control spatiotemporal chaos is a well-known coupled map lattice model.

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.