Advertisement

Nonlinear Dynamical Analysis of Eye Movement Characteristics Using Attractor Plot and First Lyapunov Exponent

  • Atsuo MurataEmail author
  • Tomoya Matsuura
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9170)

Abstract

The purpose of this study was to clarify eye movement characteristics during a visual search using nonlinear dynamics (chaos analysis). More concretely, the first Lyapunov exponent and the attractor plot were obtained for the time series data of x- and y-directional eye-gaze locations. An attempt was made to compare the first Lyapunov exponent and the attractor plot during a visual search task as a function of layout complexity of the display and to verify whether chaotic properties existed in the fluctuation of eye-gaze locations, and to examine how the scaling properties change as a function of the layout complexity. First Lyapunov exponent of the time series of eye-gaze locations took positive values, and tended to increase with the increase of search task difficulty (layout complexity). The attractor plot drew a trajectory like an ellipse, and the variation in attractor plots tended to be more complicated with the increase of task difficulty.

Keywords

Nonlinear dynamics Eye movement Attractor plot First Lyapunov exponent Layout complexity of display 

References

  1. 1.
    Murata, A., Iwase, H.: Chaotic analysis of body sway. In: 20th Annual International Conference - IEEE/EMBS, pp. 1557–1560 (1998)Google Scholar
  2. 2.
    Murata, A., Iwase, H.: Application of chaotic dynamics in EEG to assessment of mental workload. IEICE Trans. Inf. Syst. 84(8), 1112–1119 (2001)Google Scholar
  3. 3.
    Fairbanks, M.S., Taylor, R.P.: Measuring the scaling properties of temporal and spatial patterns: from the human eye to foraging albatross. In: Guastello, S.J., Gregson, R.A.M. (eds.) Nonlinear Dynamical Systems Analysis for the Behavioral Science Using Real Data, pp. 341–366. CRC Press, London (2010)Google Scholar
  4. 4.
    Murata, A., Matsyuura, T., Moriwaka, M.: Nonlinear dynamical analysis of eye movement characteristics. In: AHFE 2014, pp. 4041–4052 (2014)Google Scholar
  5. 5.
    Chekaluk, E., Llewelly, K.R.: The Role of Eye Movements in Perceptual Process. North-Holland, Amsterdam (1992)Google Scholar
  6. 6.
    Findlay, J.M., Walker, R., Kentridge, R.W.: Eye Movement Research: Mechanisms, Processes and Applications. Studies in Visual Information Processing, vol. 6. North-Holland, Amsterdam (1995)Google Scholar
  7. 7.
    Hung, G.K.: Models of Oculomotor Control. World Scientific Pub., Singapore (2001)CrossRefGoogle Scholar
  8. 8.
    Hyönä, J., Radach, R., Deubel, H.: The Mind’s Eye: Cognitive and Applied Aspects of Eye Movement research. North-Holland, Amsterdam (2003)Google Scholar
  9. 9.
    Land, M.F., Tatler, B.W.: Looking and Acting: Vision and Eye Movements in Natural Behavior. Oxford University Press, Oxford (2009)CrossRefGoogle Scholar
  10. 10.
    Spence, R., Witkowski, M.: Rapid Serial Visual Presentation: Design for Cognition. Springer, Heidelberg (2013)CrossRefGoogle Scholar
  11. 11.
    Tovée, M.J.: An Introduction to the Visual System. Cambridge University Press, Cambridge (2008)CrossRefGoogle Scholar
  12. 12.
    Underwood, G.: Cognitive Processes in Eye Guidance. Oxford University Press, Oxford (2005)CrossRefGoogle Scholar
  13. 13.
    Wade, N.J., Tatler, B.W.: The Moving Tablet of the Eye: The Origins of Modern Eye Movement Research. Oxford University Press, Oxford (2005)CrossRefGoogle Scholar
  14. 14.
    Wartburg, R.V.: Eye Movements and Scene Perception: An Investigation of Basic Effects. Südwesteutscher Verlag für Hochschulschriften, Saarbrücken (2009)Google Scholar
  15. 15.
    Murata, A., Furukawa, N.: Relationship between display features, eye movement characteristics, and reaction time in visual search. Hum. Factors 47(3), 598–612 (2005)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Intelligent Mechanical Systems, Graduate School of Natural Science and TechnologyOkayama UniversityOkayamaJapan

Personalised recommendations