ChaosBook.org overheads

Chapter - Spatiotemporal

Seminar Spatiotemporal blog (dec 2017)
Working notes -very rough, but with lots of literature pointers- on how to recast finding invariant solutions of the 1D Kuramoto-Sivashinsky PDE into the problem of finding spatio-temporal fixed point solutions. The point is that we have give up on finding invariant solutions by forward integration in time from specified intial conditions - instead, we have to develop variational methods to multiply-periodic solutions in spacetime. In particular, it would be very nice if someone writes a working spatiotemporal solver and runs it on some higly parallelized machine.
Seminar Spatiotemporal cat map blog (dec 2017)
Working notes -very rough, but with lots of literature pointers- on our elegant, analytically soluble baby model of a spatiotemporally discretized field theory, and the Ising model / Ihara zeta functions literature of potential relevance to the spatiotemporal reformulation of turbulent field theories. There is lots of theoretical directions to ponder here.

seminars, papers

Spatiotemporal cat map

pdf B Gutkin, P Cvitanović, R Jafari, A K Saremi and L Han
Linear encoding of the spatiotemporal cat map
Nonlinearity , (2018, in preparation)
2/3rds finished draft of the paper on our spacetime discretized model field theory.
Seminar overheads (UCSB Math Colloquium, January 26, 2017)
A talk on the program, regretably without a video (which makes it rather hard to decode).