• The onset of chaos in the wake of an oscillating cylinder: Experiment and the dynamics of the circle map

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    • Keywords


      Chaos; universality; circle maps; wakes

    • Abstract


      This paper deals with a comparison between experimental observations in a low-Reynolds-number wake behind an oscillating cylinder and the universal properties of a sine circle map. When the limit cycle due to the natural vortex shedding in the wake is modulated at a second frequency by oscillating the cylinder transversely, one obtains in phase space a flow on a two torus. The nonlinear interaction between the two oscillators results in Arnol’d tongues due to phase locking, the devil’s staircase along the critical line, and a transition from order to chaosvia the quasiperiodic route. The sine circle map describes these features adequately. A comparison between the experiment and the theory is made in terms of multifractal formalism and trajectory scaling function.

    • Author Affiliations


      D J Olinger1 A B Chhabra2 K R Sreenivasan3

      1. Mechanical Engineering, Worcester Polytechnic Institute, Worcester, MA - 01609, USA
      2. Chemical Bank, New York, NY - 10021, USA
      3. Mason Laboratory, Yale University, New Haven, CT - 06520, USA
    • Dates

  • Pramana – Journal of Physics | News

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