{"version":"1.0","type":"rich","title":"Dynamical Systems: circule trajectories","description":"This example visualizes circular trajectories for the dynamical system \\(\\dot{x}=xy,\\dot{y}=(1-x^2-y^2)/2\\). A click on the phase plane draws the unique circular path determined by the chosen initial condition, with a red center marker and a blue dot tracking the motion. The D3.js code renders an SVG canvas with axes, tick labels, and a set of precomputed trajectory circles in light gray, while user interaction dynamically adds a highlighted trajectory. The implementation uses `d3.select`, `d3.scaleLinear`, and SVG element `append` calls to build the plot, updating the circle’s position and radius via `attr` on mouse events.","provider_name":"VizHub AI Studio","provider_url":"https://vizhub.com","html":"<iframe src=\"https://vizhub.com/viz/16082378745c45ccb84e6868b0bf0e76?mode=embed\" width=\"960\" height=\"500\" scrolling=\"no\" frameborder=\"0\"></iframe>","width":960,"height":500,"cache_age":3600}