Julia set is a mathematical construct that has been widely studied in the field of chaos theory. The set is named after the French mathematician Gaston Julia, who first described it in 1918. However, over time, other names and synonyms have emerged for the Julia set. For instance, in some cases, it is known as the Julia-Mandelbrot set, as it is closely related to the Mandelbrot set. Other terms for the Julia set include the Mandelbrot Julia set, the Julia fractal, and the filled Julia set. Each of these terms refers to a different aspect of the set's properties, but they all refer to the same mathematical object.