A new bridge between the geometry of fractals and the dynamics of partial synchronization

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set, named after the French-American mathematician of Polish origin, Benoit B. Mandelbrot (1924-2010), the most studied fractal. This set is based on a single quadratic equation with only one parameter and one variable. The fascinating fractal patterns of the Mandelbrot set have attracted attention far beyond mathematics.

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