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)


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.


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


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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

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