I like the article, but the author suggests (or at least creates the impression) that "nonlinearity" causes "path dependence". This is not necessarily true.

Path-independence or -dependence is more about history than the nature of linearity or nonlinearity in variables itself.

From Wikipedia: "A nonholonomic (a path-independent) system in physics and mathematics is a system whose state depends on the path taken to achieve it."

Here is counter-example where non-linearity does not cause path-dependence. Fields that obey an inverse-square law (such as electromagnetism) are called conservative (path-independent) because the work needed to move an object from one point to the other is not dependent on the path.

But, I could be missing something. Let me know!