Research Article Open Access

Topological Conjugacy Between Seizure and Flat Electroencephalography

Tahir Ahmad1 and Tan Lit Ken1
  • 1 Department of Mathematics, Nanotechnology Research Alliance, Theoretical and Computational Modeling for Complex Systems, University Technology Malaysia, 81310 Skudai, Johor, Malaysia

Abstract

Problem statement: Seizure and Flat EEG which are modeled as two distinct dynamical systems share the same dynamics in the topological viewpoint. Approach: Motions of seizure and Flat EEG of the dynamical systems were written as set points. A function that maps between these two sets is then built. By using topological conjugacy, they are shown to share the same dynamics. Results: Seizure and Flat EEG were shown to share the same dynamics along with other properties such as order isomorphic, homeomorphic and the unique representation of any event during seizure as an open set. Conclusion: This study shows that the dynamics of seizure can be transported to Flat EEG.

American Journal of Applied Sciences
Volume 7 No. 11, 2010, 1470-1476

DOI: https://doi.org/10.3844/ajassp.2010.1470.1476

Submitted On: 5 November 2010 Published On: 8 November 2010

How to Cite: Ahmad, T. & Ken, T. L. (2010). Topological Conjugacy Between Seizure and Flat Electroencephalography. American Journal of Applied Sciences, 7(11), 1470-1476. https://doi.org/10.3844/ajassp.2010.1470.1476

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Keywords

  • Dynamical system
  • EEG
  • Fuzzy C-Means (FCM)
  • order isomorphism
  • topological conjugacy
  • dynamic functions
  • temporal ordering
  • order isomorphic
  • dynamic trajectory
  • dimensional space
  • FTTM