The transient response of associative copolymer solutions during step
shear rate experiments has been characterized. Upon cessation of flow,
the stress relaxation modulus is found to decrease faster as the shea
r rate increases. Upon start up of the flow, beyond a critical value o
f the shear rate, one or several stress overshoots are observed, depen
ding on the shear rate value. One of them corresponds to the stress ov
ershoot characteristic of entangled polymer systems while the other on
es are specific to the presence of hydrophobic units. The critical she
ar rate and the accumulated strain position that characterize the appe
arance of the overshoots can be most easily explained if the solution
is viewed as a loosely connected transient network. Finally, aging phe
nomena are also described and are tentatively ascribed to a trend to p
hase separation.