gravitational 3-body problems are great for chaotic dynamics. one of my favorites is the sitnikov system: given two equal massive bodies rotating about one another on ellipses, add a third tiny mass perfectly poised between them. give it a kick & what happens? pic.twitter.com/fn8ZSHF1kO

— prof-g (@robertghrist) December 8, 2019

the periodically-forced duffing oscillator induces a flow on the solid torus with some lovely chaotic dynamics. by following a set of initial conditions in the plane over time, you can see the stretching & folding lead to chaos. pic.twitter.com/q10YvrWf1f

— prof-g (@robertghrist) December 3, 2019