  Similar to black-hole X-ray binary (BHXRB) transients, hysteresis-like state
transitions are also seen in some neutron-star X-ray binaries (NSXRBs). Using a
method based on wavelets and lightcurves constructed from archival RXTE
observations, we extract a minimal timescale over the complete range of
transitions for 4U 1608-52 during the 2002 and 2007 outbursts and the 1999 and
2000 outbursts for Aql X-1. We present evidence for a strong positive
correlation between this minimal timescale and a similar timescale extracted
from the corresponding power spectra of these sources.
