Skip to main content

Manifestation of Chaos in Real Complex Systems: Case of Parkinson’s Disease

  • Chapter
The Logistic Map and the Route to Chaos

Part of the book series: Understanding Complex Systems ((UCS))

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Boccaletti, C. Grebogi, Y.-C. Lai et al.: Phys. Reports 329, 103 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  2. H. Touchette, S. Lloyd: Physica A 331, 140 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  3. K. Pyragas: Phys. Lett. A 170, 421 (1992)

    Article  ADS  Google Scholar 

  4. E.R. Hunt: Phys. Rev. Lett. 67, 1953 (1991)

    Article  ADS  Google Scholar 

  5. V. Petrov, V. Gaspar, J. Masere et al.: Nature 361, 240 (1993)

    Article  ADS  Google Scholar 

  6. B.B. Plapp, A.W. Huebler: Phys. Rev. Lett. 65, 2302 (1990)

    Article  ADS  Google Scholar 

  7. W. Just, H. Benner, E. Reibold: Chaos 13, 259 (2003

    Article  ADS  Google Scholar 

  8. R. Lima, M. Pettini: Phys. Rev. A 41, 726 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  9. Y. Braiman, J. Goldhirsch: Phys. Rev. Lett. 66, 2545 (1991)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. R.M. Yulmetyev, P. Hänggi, F.M. Gafarov: Phys. Rev. E 62, 6178 (2000)

    Article  ADS  Google Scholar 

  11. R.M. Yulmetyev, P. Hänggi, F. Gafarov, Phys. Rev. E 65, 046107 (2002)

    Article  ADS  Google Scholar 

  12. R.M. Yulmetyev, F.M. Gafarov, P. Hänggi et al.: Phys. Rev. E 64, 066132 (2001)

    Article  ADS  Google Scholar 

  13. R.M. Yulmetyev, S.A. Demin, N.A. Emelyanova et al.: Physica A 319, 432 (2003)

    Article  ADS  MATH  Google Scholar 

  14. R.M. Yulmetyev, N.A. Emelyanova, S.A. Demin et al.: Physica A 331, 300 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Beuter, M. Titcombe, F. Richer et al.: Thalamus & Related Systems 1, 203 (2001); M. Titcombe, L. Glass, D. Guehl et al.: Chaos 11, 766 (2001)

    Article  Google Scholar 

  16. A. Beuter, A. de Geoffroy, P. Cordo: J. Neurosci. Meth. 53, 47 (1994)

    Article  Google Scholar 

  17. K.E. Norman, R. Edwards, A. Beuter: J. Neurosci. Meth. 92, 41 (1999)

    Article  Google Scholar 

  18. R.M. Yulmetyev, P. Hänggi, F.M. Gafarov: JETP, 123, 643 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Yulmetyev, R.M., Demin, S.A., Hänggi, P. (2006). Manifestation of Chaos in Real Complex Systems: Case of Parkinson’s Disease. In: Ausloos, M., Dirickx, M. (eds) The Logistic Map and the Route to Chaos. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32023-7_11

Download citation

Publish with us

Policies and ethics