I would like to mathematically model this simple logic circuit:
In addition, the input to input1 of this gate would also be some function that looked something like this:
Given a continuous function $f(x1,x2)$ that represents OR1, and a continuous function $g(x)$ that represents input into input1, how could dynamical system techniques be used to model this as a continuous non-linear system? Having no training in dynamical systems I'm not sure where to start. What would be a good textbook or tutorial that could help me start making progress with this?