Fractional calculus and fractal functions are two interconnected areas of mathematics that explore complex behaviors in continuous functions. Fractional calculus extends traditional calculus by ...

The two most common ways to draw fractals are using an Iterated Function System (IFS) and the Chaos Game. These are described in the notes on fractals in the link below. One way to draw this is to ...

Fractals are geometric objects that have a very complicated ... Finally, we will look at certain dynamical systems that arise when you iterate a simple function like f(z)= z*z + c. Here z and c are ...

the team's research found that it seems to have been a complete accident that has no function whatsoever. When the team genetically manipulated S. elongatus to produce non-fractal citrate synthase ...

The multiscale organisation we found allows different strategies – or “neural codes” – to function at different ... Our findings reveal that this fractal coordination of neuron activity ...

further enriching the field of spectral analysis in relation to fractal structures[4]. Moreover, the introduction of Green functions for networks with complex weights has expanded the ...