To compare superconducting transitions under slow and fast altered temperat
ure gradients the ac susceptibility was measured simultaneously in three di
fferent regions of Y-Ba-Cu-O ceramic samples. The flux dynamics of a Y-Ba-C
u-O sample either exposed or not to a slowly varying temperature gradient r
emain the same (conventional behaviour). The flux dynamics of the same samp
le exposed to a quickly varying temperature gradient (v > 0.32 Ks(-1)) are
qualitatively different. During fast cooling (or heating) the start (or the
end) of the flux expulsion (or admission) in the first region of the incre
asing state stimulates the beginning (or the end) of the flux expulsion (or
admission) in the regions of the following decreasing state. Consequently
in some regions the transition of the decreasing state begins (terminates)
prematurely well over (under) the conventional onset temperature of the sam
ple. Thus, during cooling, overheated superconducting regions and, during h
eating, undercooled normal macroscopic regions appear in the sample. The me
aningful explanation of this behaviour needs further investigations.