1. The simplest attractor is the minimum of energy, which is known even to kittens. A thrown object, including a kitten, attracts to the floor, not to the ceiling or wall. Spilled on the floor water flows even lower. Kittens do not know about the stability of atomic nuclei, but the nuclei are stable because of a minimum of energy.
2. The thermal equilibrium of Boltzmann is important since the world is locally close to it.
3. The famous Lorenz attractor https://en.wikipedia.org/wiki/Lorenz_system models the atmosphere and compresses the dimension by 10 ^ 45 times. It is chaotic and therefore it is understood basically by mathematicians and physicists.
4. Money is both an invariant and an attractor, so money explains the behavior of people and countries rather well.
5. My old results are solitons as an attractor, a turbulent attractor in tokamaks, vortex attractors, singularities. These attractors are constructed from invariants, laconic rails of physics, see https://ufn.ru/en/articles/1997/5/b/
Now I'm working on attractors for AI/ML. Stable attractors truncate data volume by many orders of magnitude. The brain works as an associative chain of attractors.
The world is knowable due to attractors and invariants.
