We develop hard-wired simulations of temporal sequence storage and generation by multi-modular networks based on the frontal lobe system (cortex, basal ganglia and thalamus). Single cell activity is shown to have been constructed so as to mimic results measured in monkeys on a similar task, indicating that a suitable form of chunking had been achieved in the models. The mathematical nature of these processes is discussed, from the viewpoint of bifurcation theory.