As a few people nearly guessed, the left side is “things a linear system can do” and the right side is “(additional) things a nonlinear system can do.”

On the left:

- decaying oscillation
- exponential decay
- simple accumulation
- equilibrium
- exponential growth
- 2nd order goal seeking with damped oscillation

On the right:

- S-shaped growth
- chaos (as in the Lorenz model)
- punctuated equilibrium
- a limit cycle
- another limit cycle (like a predator-prey system)
- overshoot & collapse

Bongard problems test visual pattern recognition, but there’s no reason to be strict about that. Here’s a slightly nontraditional Bongard problem:

The six on the left conform to a pattern or rule, and your task is to discover it. As an aid, the six boxes on the right do not conform to the same pattern. They might conform to a different pattern, or simply reflect the negation of the rule on the left. It’s possible that more than one rule discriminates between the sets, but the one that I have in mind is not strictly visual (that’s a hint).