Linear encoding of the spatiotemporal cat

Understand

The dynamics of an extended, spatiotemporally chaotic system might appear extremely complex.

• Nevertheless, the local dynamics, observed through a finite spatiotemporal window, can often be thought of as a visitation sequence of a finite repertoire of finite patterns.
• To make statistical predictions about the system, one needs to know how often a given pattern occurs.
• Here we address this fundamental question within a spatiotemporal cat, a 1-dimensional spatial lattice of coupled cat maps evolving in time.