The Mathematics of Chaos

Good video on Chaos by the BBC:

The Mathematics of Chaos

Reminded me of Sapolsky. Talks about what we can’t do with math. A paradigm shift of where the small things take care of themselves to where the small things cause the problems. I wonder if climate science is stuck with the old mechanistic approach. Talks about how we were confident that science would solve problems, but found that’s not as true as we wished it was.

Regime changes

Interesting diagram found here:

Think of the Horizontal values as CO2 levels and the Vertical values as the resulting temperature. GCMs seem to be modelling the 0.5 and 0.9 result. It’s possible what is actually happening is 1.1 and/or 1.5. The boundary hitting times can be thought of as the control parameter. I’d guess 1.1 is more likely.

Cascades on a stochastic pulse-coupled network

Above from the same linked paper. c) reminds me of Tsonis 2007 and Synching.  Cycles as in d) might be primarily time dependent, with c) being more complicated. Sometimes you get a regime swap and sometimes you don’t. Comparing synching to cycles during a prolonged glacial period, with cycles the answer is wait X amount of years. With synching, I’d suggest multiple (thousands of) attempts are made to synch and they all fail except the last one.

Now consider that ‘q’ may slowly change over time. And that we could see elements of all three situations blended and changing in the data.