Lesson 8: Dynamical Systems 1) Introduction to Dynamical Systems In physics and many other natural sciences, various phenomena are described by what are called dynamical systems, which describe how systems may change with respect to time. These can model things like the swinging of a clock pendulum, the path of a projectile in the air, or the population of predators and prey in an area. One important thing to note is that dynamical systems are modeled by differential equations, in that we know how the function changes with respect to time, but we do not know the function itself. We are therefore tasked with integrating the function to get a solution