>[!abstract] >A **Poincaré map** takes a two-dimensional slice of a three-dimensional attractor. The lines of the attractor that cross the two-dimensional plane of the Poincaré map appear as points. "One kind of information is lost; another is brought out in high relief" ([[Gleick, 1998]]). >[!related] >- **North** (upstream): [[Lorenz system]] >- **West** (similar): — >- **East** (different): — >- **South** (downstream): —