Nonlinear Analysis of EEG Dynamics in Different Epilepsy States Using Lagged PoincarÉ Maps

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Seyyed Abed Hosseini 1,*

1. Research Center of Biomedical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran

* Corresponding author.


Received: 3 Apr. 2017 / Revised: 20 Apr. 2018 / Accepted: 14 Jun. 2018 / Published: 8 Aug. 2018

Index Terms

Electroencephalogram, Epilepsy, Lagged Poincaré map, Nonlinear analysis


The Poincaré map and its width and length are known as a criterion for short-term variations of electroencephalogram (EEG) signals. This study evaluates the effect of time delay on changes in the width of the Poincaré map in the EEG signal during different epilepsy states. The Poincaré map is quantified by measuring the standard deviation over   (SD1) and the standard deviation over   (SD2). Poincaré maps are drawn with one to six delay in three sets, including normal, inter-ictal, and ictal. The results indicate that the width of the Poincaré map increases with increasing latency in the ictal state. During ictal state, the width of the Poincaré map is achieved by applying a unit delay of 102 ± 8.7 and a six-unit delay of 305 ± 13.6. The Poincaré map is shifted to lower values during ictal state. Also, the results indicate that with increasing delay in the ictal state, the increasing rate of SD1 value is higher than the previous ones, such as inter-ictal and normal. The Poincaré map of the EEG signal can discover the meaningful changes in the different epilepsy states. 

Cite This Paper

Seyyed Abed Hosseini, " Nonlinear Analysis of EEG Dynamics in Different Epilepsy States Using Lagged PoincarÉ Maps ", International Journal of Image, Graphics and Signal Processing(IJIGSP), Vol.10, No.8, pp. 61-67, 2018. DOI: 10.5815/ijigsp.2018.08.07


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