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Symmetry and chaos in the motion of the damped driven pendulum

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Zeitschrift für Physik B Condensed Matter

Abstract

The damped, driven pendulum equation is studied numerically. A relation is pointed out between the symmetry of the initial period-m dynamical state of am×2n period-doubling sequence and the form of the chaotic attractor for the final chaotic dynamical state reached after completion of the inverse-doubling sequence. Effects of extrinsic noise are also mentioned.

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Author notes

  1. K. Fesser

    Present address: Physikalisches Institut, Universität Bayreuth, D-8580, Bayreuth, FRG

Authors and Affiliations

  1. Department of Physics, Wake Forest University, 27109, Winston-Salem, North Carolina, USA

    W. C. Kerr & M. B. Williams

  2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, 87545, Los Alamos, New Mexico, USA

    A. R. Bishop, K. Fesser & P. S. Lomdahl

  3. Department of Physics, University of Southern California, 900-0484, Los Angeles, California, USA

    S. E. Trullinger

Authors
  1. W. C. Kerr
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  2. M. B. Williams
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  3. A. R. Bishop
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  4. K. Fesser
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  5. P. S. Lomdahl
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  6. S. E. Trullinger
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Kerr, W.C., Williams, M.B., Bishop, A.R. et al. Symmetry and chaos in the motion of the damped driven pendulum. Z. Physik B - Condensed Matter 59, 103–110 (1985). https://doi.org/10.1007/BF01325387

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  • DOI: https://doi.org/10.1007/BF01325387

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