• Conversion of a chaotic attractor into a strange nonchaotic attractor in an one dimensional map and BVP oscillator

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      https://www.ias.ac.in/article/fulltext/pram/044/02/0121-0131

    • Keywords

       

      One dimensional map; Bonhoeffer-van der Pol oscillator; controlling of chaos; strange nonchaotic attractor

    • Abstract

       

      In this paper we investigate numerically the possibility of conversion of a chaotic attractor into a nonchaotic but strange attractor in both a discrete system (an one dimensional map) and in a continuous dynamical system — Bonhoeffer—van der Pol oscillator. In these systems we show suppression of chaotic property, namely, the sensitive dependence on initial states, by adding appropriate i) chaotic signal and ii) Gaussian white noise. The controlled orbit is found to be strange but nonchaotic with largest Lyapunov exponent negative and noninteger correlation dimension. Return map and power spectrum are also used to characterize the strange nonchaotic attractor.

    • Author Affiliations

       

      S Rajasekar1

      1. Department of Physics, Manonmaniam Sundaranar University, Tirunelveli - 627 002, India
    • Dates

       
  • Pramana – Journal of Physics | News

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