The Julia set of F(z) = 0.369 exp(z) is the whole plane. Then the behavior of every orbit is chaotic. The first image has been obtained assigning a different color to each point of the plane depending on how fast its orbit tends to infinity.
Doing a zoom sequence in the image we will show that the patterns repeat at all scales and we see that there is some type of order in the chaos.
27 сен 2024
