

Hmm… the book I was reading (Complex and Adaptive Dynamical Systems by Claudius Gros) actually said strange attractors only occur in three dimensions or higher, but I changed that to “chaos” in the title to fit the character limit—I thought they were essentially synonymous.
Here’s the quote:
Strange attractors can only occur in dynamical system of dimension three and higher, in one dimension fixpoints are the only possible attracting states and one needs at least two dimensions for limit cycles.
Edit: I see that Gros clarifies a few paragraphs later:
Chaos may arise in one dimensional maps … but continuous-time dynamical systems need to be at least three dimensional in order to show chaotic behavior.
I guess I was mentally thinking of continuous-time systems, but there was no room to fit that in the title.














I edited/clarified my comment before I saw your reply—apparently the restriction to three dimensions only apples to continuous-time systems, which is what I had in mind when I posted the question.