1The joint activity of neural populations is high dimensional and complex. One 2 strategy for reaching a tractable understanding of circuit function is to seek the sim-3 plest dynamical system that can account for the population activity. By imaging 4 Aplysia's pedal ganglion during fictive locomotion, here we show that its population-5 wide activity arises from a low-dimensional spiral attractor. Evoking locomotion 6 moved the population into a low-dimensional, periodic, decaying orbit -a spiral -in 7 which it behaved as a true attractor, converging to the same orbit when evoked, and 8 returning to that orbit after transient perturbation. We found the same attractor in 9 every preparation, and could predict motor output directly from its orbit, yet individ-10 ual neurons' participation changed across consecutive locomotion bouts. From these 11 results, we propose that only the low-dimensional dynamics for movement control,
12and not the high-dimensional population activity, are consistent within and between 13 nervous systems.