Skip to main content

Strength and Direction of Phase Synchronization of Neural Networks

  • Conference paper
Book cover Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

Included in the following conference series:

Abstract

This paper studies the strength and direction of phase synchronization among Neural Networks (NNs). First, a nonlinear lumped-parameter cerebral cortex model is addressed and used to generate epileptic surrogate EEG signals. Second, a method that can be used to calculate the strength and direction of phase synchronization among NNs is described including the phase estimation, synchronization index and phase coupling direction. Finally, simulation results show the method addressed in this paper can be used to estimate the phase coupling direction among NNs.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
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

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. Pikovsky, A., Rosenblum, G.M., Kurths, J.: Synchronization, A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge (2001)

    Book  MATH  Google Scholar 

  2. Rosenblum, G.M., Pikovsky, A.: Detecting Direction of Coupling in Interacting Oscillators. Phys. Rev. E 64, 045202 (2001)

    Google Scholar 

  3. Palus, M.: Detecting Phase Synchronization in Noisy Systems. Phys. Lett. A 235, 341–351 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  4. Smirnov, D.A., Bezruchko, B.P.: Estimation of Interaction Strength and Direction from Short and Noisy Time Series. Phys. Rev. E, 68 (2003)

    Google Scholar 

  5. Rosenblum, G.M.: Identification of Coupling Direction: Application to Cardiorespiratory Interaction. Phys. Rev. E 65 (2002)

    Google Scholar 

  6. Schafer, C., Rosenblum, G.M., Abel, H.H., Kurths, J.: Synchronization in the Human Cardiorespiratory System. Phys. Rev. E 60, 857–870 (1999)

    Article  Google Scholar 

  7. Mormann, F., Andrzejak, R.G., Kreuz, T., Rieke, C., David, P., Elger, C.E., Lehnertz, K.: Automated Detection of a Preseizure State Based on a Decrease in Synchronization in Intracranial Electroencephalogram Recordings from Epilepsy Patients, Phys. Rev. E 67 (2003)

    Google Scholar 

  8. Li, X., Li, J., Yao, X.: Complexity and Synchronization of EEG during Epileptic Seizures. In: IEEE Workshop on Life Science Data Mining (ICDM 2004), UK (2004)

    Google Scholar 

  9. Li, X., Ouyang, G., Yao, X., Guan, X.: Dynamical Characteristics of Pre-epileptic Seizures in Rats with Recurrence Quantification Analysis. Phys. Lett. A 333, 164–171 (2004)

    Article  MATH  Google Scholar 

  10. Li, X., Guan, X., Ru, D.: Using Damping Time for Epileptic Seizures Detection in EEG. In: Modelling and Control in Biomedical Systems, pp. 255–258. Elsevier Ltd., Amsterdam (2003)

    Google Scholar 

  11. Lopes da Silva, F.H., Hoek, A., Smith, H., Zetterberg, L.H.: Model of Brain Rythmic Activity. Kybernetic, 15–27 (1974)

    Google Scholar 

  12. Rosenblum, G.M., Pikovsky, A., Kurths, J., Tass, P.A.: Phase Synchronization: From Theory to Data Analysis. In: Neuro-informatics and Neural Modeling. Handbook of Biological Physics, vol. 4, pp. 279–321. Elsevier, Amsterdam (2001)

    Chapter  Google Scholar 

  13. Jansen, B., Rit, V.G.: Electroencephalogram and Visual Evoked Potential Generation in a Mathermatical Model of Coupled Cortical Columns. Biol. Cybern., 73–357 (1995)

    Google Scholar 

  14. Jansen, B.H., Zouridakis, G., Brandt, M.E.: A Neuro-physiologically-based Mathematical Model of Flash Visual Evoked Potentials. Biol. Cybern., 68–275 (1993)

    Google Scholar 

  15. Wendling, F., Bellanger, J.J., Bartolomei, F., Chauvel, P.: Relevance of Nonlinear lumped-parameter Models in the Analysis of Depth-eeg Epileptic Signals. Biol. Cybern., 83–367 (2000)

    Google Scholar 

  16. Nicholls, J.G., Martin, A.R., Wllace, B.G., Fuchs, P.A.: From Neuron to Brain (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, Y., Li, X., Ouyang, G., Guan, X. (2005). Strength and Direction of Phase Synchronization of Neural Networks. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_49

Download citation

  • DOI: https://doi.org/10.1007/11427391_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics