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Non-linear Analysis of Time Series Generated from the Freeman K-Set Model

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Cognitive Informatics and Soft Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 768))

Abstract

Brain signals such as EEG and MEG are the only available dynamical measures of functional status of the brain. Over past several years EEG has been found to have nonlinear and chaotic properties. The nonlinear dynamical measures have been linked to brain functioning including the most complex cognitive behavior of man. Our study focuses on showing evidence of nonlinear chaotic behavior of simulated EEG. We have simulated the EEG at the mesoscopic level by using the biologically realistic Freeman K-sets. Here the behavior of the time series at every level of the olfactory system as modeled in the Freeman-KIII set is obtained by solving a set of second-order differential equations using Euler method in MATLAB. The generated low-dimensional- and high-dimensional time series is subjected to a nonlinear analysis using Higuchi fractal dimension, Lyapunov exponent, and Detrended Fluctuation analysis to validate the chaotic behavior. The study indirectly points to suitability of Freeman model for large-scale brain simulation.

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Author information

Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Amrita School of Engineering, Bengaluru Amrita Vishwa Vidyapeetham, Bengaluru, India

    F. Anitta & R. Sunitha

  2. Department of Psychopharmacology, National Institute of Mental Health and Neurosciences (NIMHANS), Bengaluru, India

    N. Pradhan

  3. Department of Electrical and Electronics Engineering, R. V. College of Engineering, Bengaluru, India

    A. Sreedevi

Authors
  1. F. Anitta
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  2. R. Sunitha
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  3. N. Pradhan
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  4. A. Sreedevi
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Corresponding author

Correspondence to R. Sunitha .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Vignana Bharathi Institute of Technology, Hyderabad, Telangana, India

    Pradeep Kumar Mallick

  2. Faculty of Engineering, Aurel Vlaicu University of Arad, Arad, Romania

    Valentina Emilia Balas

  3. Department of Electrical and Electronics Engineering, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Rangpo, India

    Akash Kumar Bhoi

  4. Department of Electronic and Computer Engineering, Brunel University London, Uxbridge, Middlesex, United Kingdom

    Ahmed F. Zobaa

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Anitta, F., Sunitha, R., Pradhan, N., Sreedevi, A. (2019). Non-linear Analysis of Time Series Generated from the Freeman K-Set Model. In: Mallick, P., Balas, V., Bhoi, A., Zobaa, A. (eds) Cognitive Informatics and Soft Computing. Advances in Intelligent Systems and Computing, vol 768. Springer, Singapore. https://doi.org/10.1007/978-981-13-0617-4_21

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