Thanks to a powerful calculating tool - a computer, as well as the development of mathematical modeling methods, synergetics for the first time in the history of science began to describe and reproduce the processes of self-organization and development. On this path, magnificent, previously unseen images began to appear - strange attractors, fractals, cellular automata, which to a large extent contributed to the popularity of synergetics in the scientific and philosophical community. The article is devoted to images that arise in models, experiments and computational experiments developed and conducted by the author. Continual cellular automata with non-linear transition rules, cycles, fractal structures and chaos in non-linear mappings that describe social processes give rise to images that make you think, awaken aesthetic sensations and allow you to better understand, visualize how it all (surrounding world, the Universe) was created, organized and works. And this is the function of Science Art.