Nonlinear dynamical analysis of eye movement characteristics using attractor plot and first lyapunov exponent

Atsuo Murata, Tomoya Matsuura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages78-85
Number of pages8
Volume9170
ISBN (Print)9783319209159
DOIs
Publication statusPublished - 2015
Event17th International Conference on Human-Computer Interaction, HCI International 2015 - Los Angeles, United States
Duration: Aug 2 2015Aug 7 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9170
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other17th International Conference on Human-Computer Interaction, HCI International 2015
CountryUnited States
CityLos Angeles
Period8/2/158/7/15

Fingerprint

Eye Movements
Eye movements
Lyapunov Exponent
Attractor
Visual Search
Layout
Time series
Chaos theory
Ellipse
Time Series Data
Display devices
Trajectories
Nonlinear Dynamics
Display
Chaos
Scaling
Trajectory
Fluctuations
Verify

Keywords

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

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Murata, A., & Matsuura, T. (2015). Nonlinear dynamical analysis of eye movement characteristics using attractor plot and first lyapunov exponent. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9170, pp. 78-85). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9170). Springer Verlag. https://doi.org/10.1007/978-3-319-20916-6_8

Nonlinear dynamical analysis of eye movement characteristics using attractor plot and first lyapunov exponent. / Murata, Atsuo; Matsuura, Tomoya.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9170 Springer Verlag, 2015. p. 78-85 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9170).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Murata, A & Matsuura, T 2015, Nonlinear dynamical analysis of eye movement characteristics using attractor plot and first lyapunov exponent. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 9170, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9170, Springer Verlag, pp. 78-85, 17th International Conference on Human-Computer Interaction, HCI International 2015, Los Angeles, United States, 8/2/15. https://doi.org/10.1007/978-3-319-20916-6_8
Murata A, Matsuura T. Nonlinear dynamical analysis of eye movement characteristics using attractor plot and first lyapunov exponent. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9170. Springer Verlag. 2015. p. 78-85. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-20916-6_8
Murata, Atsuo ; Matsuura, Tomoya. / Nonlinear dynamical analysis of eye movement characteristics using attractor plot and first lyapunov exponent. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9170 Springer Verlag, 2015. pp. 78-85 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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