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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/073/03/0453-0470

    • Keywords

       

      $\mathcal{PT}$ symmetry; approach to chaos; kicked rotor; standard map; double pendulum.

    • Abstract

       

      This paper examines numerically the complex classical trajectories of the kicked rotor and the double pendulum. Both of these systems exhibit a transition to chaos, and this feature is studied in complex phase space. Additionally, it is shown that the short-time and long-time behaviours of these two $\mathcal{PT}$ -symmetric dynamical models in complex phase space exhibit strong qualitative similarities.

    • Author Affiliations

       

      Carl M Bender1 Joshua Feinberg2 Daniel W Hook3 David J Weir3

      1. Department of Physics, Washington University, St. Louis, MO 63130, USA
      2. Department of Physics, University of Haifa at Oranim, Tivon 36006, Israel and Department of Physics, Technion, Haifa 32000, Israel
      3. Blackett Laboratory, Imperial College London, London SW7 2AZ, UK
    • Dates

       
  • Pramana – Journal of Physics | News

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