Yeah chaotic systems are merely characterized by their extreme sensitivity to initial conditions for a particular long term outcome. All systems trend when modeled mathematically. It’s just difficult to know where a chaotic system will be at any point in time because of how hard it is to establish initial conditions.

One way you can play with a real chaotic system is to build one of the circuits in jc sprott’s papers and vary the control variable. You’ll see at some values of your control an “orderly” progression of the response variables, and at others a difficult to predict progression.

https://scholar.google.com/citations?view_op=view_citation&h...