Chaotic knots and wild dynamics
This well written and instructive report without proofs surveys the connections between knot theory and continuous dynamical systems in three (or four) dimensions. The periodic orbits of the latter form a possibly infinite link in space. We are guided through numerous examples to the highlights of present knowledge, e.g. that there is a dynamical system in 3-space that carries all link types as periodic orbits. A dozen commented questions at the end are meant to stimulate investigations in this relatively new field where many problems remain to be solved.
scientific article; zbMATH DE number 1370403
scientific article