Genetic Programming Based Approach for Synchronization with Parameter Mismatches in EEG

Authors:
Dilip P. Ahalpara;Siddharth Arora;M. S. Santhanam
Affiliations:
Institute for Plasma Research, Gandhinagar, India 382428;Physical Research Laboratory, Navrangpura, Ahmedabad, India 380009;Physical Research Laboratory, Navrangpura, Ahmedabad, India 380009 and Indian Institute of Science Education and Research, Pashan, Pune, India 411021
Venue:
EuroGP '09 Proceedings of the 12th European Conference on Genetic Programming
Year:
2009

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Abstract

Effects of parameter mismatches in synchronized time series are studied first for an analytical non-linear dynamical system (coupled logistic map, CLM) and then in a real system (Electroencephalograph (EEG) signals). The internal system parameters derived from GP analysis are shown to be quite effective in understanding aspects of synchronization and non-synchronization in the two systems considered. In particular, GP is also successful in generating the CLM coupled equations to a very good accuracy with reasonable multi-step predictions. It is shown that synchronization in the above two systems is well understood in terms of parameter mismatches in the system equations derived by GP approach.