The phenomenon of inhibition of return (IOR)Inhibition Of Return (IOR) in visual attention means that recently attended locations are less likely to be re-visited. This feature helps the brain to explore visual stimuli more quickly and efficiently. In other words, attention is more focused on new and important parts and avoids unnecessary repetition of previous points. In this study, we investigated whether this phenomenon is related to chaotic behavior in the bottom-up visual attentionBottom-up Visual Attention system. Chaotic systems have the property that their chaotic trajectory never passes from one point two times. This property could be analogous to the efficient search mechanism in visual attention. To test the hypothesis, eye-tracking data from 15 participants were analyzed. The horizontal (x) and vertical (y) positions of the eyes were recorded while the participants freely viewed six different images. The chaotic properties of eye-tracking data were evaluated using Lyapunov exponentLyapunov exponent and fractal dimensionFractal dimension measures. The results showed positive Lyapunov exponentsLyapunov exponent and irregular fractal dimensionsFractal dimension, which confirm the chaotic behavior of the eye-tracking data. These findings suggest that the human visual attention system exhibits a bottom-up, chaotic-like behavior and uses this feature to efficiently perform visual search and avoid revisiting previous positions. This study provides new insights into the neurocognitive mechanisms of visual attention and the possible role of chaosChaos in human neural systems.