Topological Conjugacy Between Seizure and Flat Electroencephalography
- 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.
DOI: https://doi.org/10.3844/ajassp.2010.1470.1476
Copyright: © 2010 Tahir Ahmad and Tan Lit Ken. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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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