Overview of complex iteration

Having spent a bit of time studying real iterative dynamics, let's turn to the study of complex iterative dynamics. Note that the terms real and complex refer to the number system we are working in. Thus, we'll be moving from the real number system to the complex number system where we include the imaginary unit \(i\) with the property that \(i^2=-1\). To get a sense of some of the beautiful mathematics that comes out of this, have look at a couple of our class demos: