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Quasiperiodic And Chaotic States In The Ding-Dong Model Forn = 3

Author

Listed:
  • P. GAWRONSKI

    (Faculty of Physics and Nuclear Techniques, University of Mining and Metallurgy, al.Mickiewicza 30, 30-059 Krakow, Poland)

  • K. KULAKOWSKI

    (Faculty of Physics and Nuclear Techniques, University of Mining and Metallurgy, al.Mickiewicza 30, 30-059 Krakow, Poland)

Abstract

The system considered is a chain of spheres bound harmonically to equidistant points and colliding elastically. This is the so-called "ding-dong" model of Prosen and Robnik, 1992. For 3 spheres we investigate the transition from chaos to quasiperiodicity in a numerical experiment. The character of motion is determined by calculation of the box counting fractal dimension of thet(n + 1)versust (n)plot, wheret (n)is a time between annth and an(n+1)th collision between spheres. The result is that the transition occurs at many regions of the phase space for all values of the total energy. We conclude that, in the contrast to what was suggested by other authors, the character of motion cannot be deduced from one parameter.

Suggested Citation

  • P. Gawronski & K. Kulakowski, 2000. "Quasiperiodic And Chaotic States In The Ding-Dong Model Forn = 3," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 247-255.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:02:n:s0129183100000237
    DOI: 10.1142/S0129183100000237
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