A dynamical network capable of storing sequences of static or periodic patterns

The author proposes a modification of the neural network model of B. Baird (1988,1989) in which the constraint of symmetrical interaction between the modes representing the patterns stored is eliminated. This makes it possible to construct the system with the ordered transitions between the patterns which were the stable attractors in the original model. Although in this case there is no strict evidence that the system does not have the chaotic behavior, a qualitative investigation and extensive numerical simulations show that the dynamics of the system can be described quite simply in terms of effective excitation wandering through the closed loop. Such motion implies the consequent activation of the static or periodic patterns stored in the network. Thus, it is shown that the model can exhibit more complex, but still programmable, behavior than was originally assumed by B. Baird