This is almost too clever an answer, and I don't think 'dynamical' is really a word, but I like this answer
from artificial life researcher Steve Brand :
The thing I'm most optimistic about is the strong possibility that we've got everything horribly wrong. All of it. Badly.
Once, when I was a young child, I accompanied my father on a car journey around some twisty back lanes in England. Dad wasn't familiar with the area, so I helpfully took the map from him and navigated. Things seemed to be going pretty well for the first half hour, until we found ourselves staring helplessly at a field gate that should have been a major road junction. It turned out that I'd been navigating from entirely the wrong page of the map, and it was sheer coincidence that enough landmarks had matched my expectations for me to believe we were on track.
I learned a lesson from this. Science sometimes learns these lessons too. Thomas Kuhn put it much better than me when he introduced the concept of a paradigm shift. Sometimes we manage to convince ourselves that we have a handle on what is going on, when in fact we're just turning a blind eye to a mass of contradictory information. We discard it or ignore it (or can't get funded to look at it) because we don't understand it. It seems to make no sense, and it can take us a while before we realize that the problem doesn't lie with the facts but with our assumptions.
Paradigm shifts are wonderful things. Suddenly the mists clear, the sun comes out and we exclaim a collective "aha!" as everything begins to make sense. What makes me so optimistic about science right now is that there are plenty of these "aha" moments waiting in the wings, ready to burst energetically onto the stage. We've got so much completely wrong, but we're starting to look at the world in radically new ways – dynamical, nonlinear, self-organizing ways – and I think a lot of our standing ideas and assumptions about the world are about to turn inside-out, just as our much older, religious ideas did during the Enlightenment...
Isaac Newton once claimed that he'd done no more than stand on the shoulders of giants. He was being far too modest. It might be more accurate to say that he stayed down at child height, running between the giants' legs and exploring things in his own sweet way. That's what we Third Culturists are all about, and it's such a combination of artful playfulness and pan-disciplinary sources of analogy and inspiration that will turn our understanding of the world inside-out. I'm very optimistic about that.