Skip to main content
SpringerLink
Log in
Book cover

Measures of Complexity and Chaos pp 191–192Cite as

Measurements of f(α) for Multifractal Attractors in Driven Diode Resonator Systems

  • Chapter

  • 249 Accesses

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

Summary

A single diode resonator system is a nonlinear circuit consisting of a series combination of a resistance, inductance and a p-n junction diode. Driven single diode resonator systems experimentally show the period-doubling route to chaos, while driven coupled diode resonator systems show the quasi-periodic route to chaos. We report f(α) spectra1,2 calculated from experimental data3,4 and model calculations5 for driven diode resonator systems at transitions to chaos. The method used to obtain f(α) has no “free” adjustable parameters.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia and B. I. Shraiman, Fractal measures and their singularities: The characterization of strange sets, Phys. Rev. A 33: 1141 (1986).

    Article  MathSciNet  MATH  Google Scholar 

  2. M. H. Jensen, L. P. Kadanoff, A. Libchaber, I. Procaccia, and J. Stavans, Global Universality at the onset of chaos; Results of a forced Rayleigh-Bénard experiment, Phys. Rev. Lett. 55: 2798 (1985).

    Article  Google Scholar 

  3. Z. Su, R. W. Rollins and E. R. Hunt, Measurements of f(a) spectra of attractors at transitions to chaos in driven diode resonator systems, Phys. Rev. A 36: 3515 (1987).

    Article  Google Scholar 

  4. Z. Su, R. W. Rollins and E. R. Hunt, Universal properties at the onset of chaos in diode resonator systems, Phys. Rev. A, in press.

    Google Scholar 

  5. Z. Su, R. W. Rollins and E. R. Hunt, Simulation and characterization of strange attractors in driven diode resonator systems, Phys. Rev. A, in press.

    Google Scholar 

  6. R. W. Rollins and E. R. Hunt, Exactly solvable model of a physical system exhibiting universal chaotic behavior, Phys. Rev. Lett. 49: 1295 (1982).

    Article  MathSciNet  Google Scholar 

  7. E. R. Hunt and R. W. Rollins, Exactly solvable model of a physical system exhibiting multidimensional chaotic behavior, Phys. Rev. A 29: 1000 (1984).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Ohio University, Athens, Ohio, 45701, USA

    Z. Su, R. W. Rollins & E. R. Hunt

Authors
  1. Z. Su
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. W. Rollins
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. R. Hunt
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Plenum Press, New York

About this chapter

Cite this chapter

Su, Z., Rollins, R.W., Hunt, E.R. (1989). Measurements of f(α) for Multifractal Attractors in Driven Diode Resonator Systems. 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_23

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-0623-9_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0625-3

  • Online ISBN: 978-1-4757-0623-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation