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Experimental Study of the Multifractal Structure of the Quasiperiodic Set

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Measures of Complexity and Chaos

Part of the book series: NATO ASI Series ((NSSB,volume 208))

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Abstract

A periodically driven relaxation-oscillator circuit is used to experimentally study the multifractal structure of the quasiperiodic set at the transition to chaos. Using the thermodynamic formalism to quantify the complex scaling of this set, we are able to efficiently compare experimental results with numerical results obtained from the sine circle map.

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Author information

Authors and Affiliations

  1. Applied Mathematics, California Institute of Technology, Pasadena, California, 91125, USA

    Dwight Barkley

  2. AT&T Bell Laboratories, Murray Hill, New Jersey, 07974, USA

    Andrew Cumming

Authors
  1. Dwight Barkley
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  2. Andrew Cumming
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Editor information

Editors and Affiliations

  1. Department of Physics, Bryn Mawr College, 19010-2899, Bryn Mawr, Pennsylvania, USA

    Neal B. Abraham  & Alfonso M. Albano  & 

  2. Naval Air Development Center, 18974, Warminster, Pennsylvania, USA

    Anthony Passamante

  3. Department of Physiology and Biochemistry, The Medical College of Pennsylvania, 3300 Henry Ave., 19129, Philadelphia, Pennsylvania, USA

    Paul E. Rapp

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© 1989 Plenum Press, New York

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Barkley, D., Cumming, A. (1989). Experimental Study of the Multifractal Structure of the Quasiperiodic Set. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_6

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  • DOI: https://doi.org/10.1007/978-1-4757-0623-9_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0625-3

  • Online ISBN: 978-1-4757-0623-9

  • eBook Packages: Springer Book Archive

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