We study thermal relaxation in ordered arrays of coupled nonlinear elements
with external driving. We find that our model exhibits dynamic self-organi
zation manifested in a universal stretched-exponential form of relaxation.
We identify two types of self-organization, cooperative and anticooperative
. which lead to fast and slow relaxation, respectively. We give a qualitati
ve explanation for the behavior of the stretched exponent in different para
meter ranges. We emphasize that this is a system exhibiting stretched-expon
ential relaxation without explicit disorder or frustration.