Temporal coding is studied with an oscillatory network model that is a complex-valued generalization of the Cohen-Grossberg-Hopfield system. The model is considered with synchronization and acceleration, where acceleration refers to a mechanism that causes the units of the network to oscillate with higher-phase velocity in case of stronger and/or more coherent input. Applying Hebbian memory, we demonstrate that acceleration introduces the desynchronization that is needed to segment two overlapping patterns without using inhibitory couplings.