Topological synchronization of chaotic systems

Can we find order in chaos? Physicists have shown, for the first time that chaotic systems can synchronize due to stable structures that emerge from chaotic activity. These structures are known as fractals, shapes with patterns ...

The human brain would rather look at nature than city streets

There is a scientific reason that humans feel better walking through the woods than strolling down a city street, according to a new publication from UO physicist Richard Taylor and an interdisciplinary team of collaborators.

Shining a light on disordered and fractal systems

A University of Tsukuba research team uses terahertz-frequency light to probe the unusual behavior of disordered systems to discover that the anonymously large vibrations in lysozyme can be explained by its glassy and fractal ...

Okay, new idea: 'Oumuamua is an interstellar 'dust bunny'

Explaining the concept of a dust bunny to small children can be quite amusing. No, it's not actually alive. It's moving around because of really small currents of wind that we can't even see. It's mainly formed out of dead ...

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Fractal

A fractal has been defined as "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity. Roots of the idea of fractals go back to the 17th century, while mathematically rigorous treatment of fractals can be traced back to functions studied by Karl Weierstrass, Georg Cantor and Felix Hausdorff a century later in studying functions that were continuous but not differentiable; however, the term fractal was coined by Benoît Mandelbrot in 1975 and was derived from the Latin frāctus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion. There are several examples of fractals, which are defined as portraying exact self-similarity, quasi self-similarity, or statistical self-similarity. While fractals are a mathematical construct, they are found in nature, which has led to their inclusion in artwork. They are useful in medicine, soil mechanics, seismology, and technical analysis.

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