Abstract: This work designed a new experimental scheme to study the chaotic phenomenon of ink droplet diffusion in water．The experiment captured a video of ink droplet diffusion and measured the motion status and trajectory of ink droplets in water by tracking them．By observing and recording the time and distance intervals of ink ring grading during ink droplet diffusion in water，and combining the chaos constant calculation model， the chaotic phenomenon of ink droplets in water was analyzed，and with the help of Tracker software，the ability to track a single point can be used to track the trajectory of a specific ink droplet and construct a mathematical model of the ink droplet trajectory．Finally，calculate the specific value of the chaotic constant and compare it with existing chaotic constant values．
