  We propose a bulk topological invariant for one-dimensional Floquet systems
with chiral symmetry which quantifies the particle transport on each sublattice
during the evolution. This chiral flow is physically motivated, locally
computable, and improves on existing topological invariants by being applicable
to systems with disorder. We derive a bulk-edge correspondence which relates
the chiral flow to the number of protected dynamical edge modes present on a
boundary at the end of the evolution. In the process, we introduce two
real-space edge invariants which classify the dynamical topological boundary
behavior at various points during the evolution. Our results provide the first
explicit bulk-boundary correspondence for Floquet systems in this symmetry
class.
