Replying to myself: Apparently strange attractors can only occur in dampened systems: https://physics.stackexchange.com/questions/125931/does-a-simple-double-p

Replying to myself: Apparently strange attractors can only occur in dampened systems: https://physics.stackexchange.com/questions/125931/does-a-simple-double-pendulum-have-transients https://physics.stackexchange.com/questions/125931/does-a-si... So my analogy between the Lorenz attractor and phase-space chaos (like that of a double pendulum) is false. However, I think my point is still true: http://philsci-archive.pitt.edu/9838/1/recurrence.pdf http://philsci-archive.pitt.edu/9838/1/recurrence.pdf says "In [the case of the space of probability distributions over phase space], the reason that classical dynamics fails to abide by the linear recurrence theorem is that the distribution space is infinite-dimensional, even if phase space has finite volume: distributions can have structure on arbitrarily short scales.