Chaos in three physical systems

Examples of various types of chaos are described in some physical systems: (1) Subshifts of second species orbits in the circular restricted three body problem (with S.V. Bolotin); (2) Anosov energy levels for the frictionless dynamics of a mechanical linkage, and a normally hyperbolic Anosov submanifold for weak friction and suitable feedback control (with T.J. Hunt); (3) "Ergodic pumping": a proposed mechanism for the power stroke of myosin, and a design principle for nanobiotechnology (with D.J.C. MacKay).