NEURODYNAMICS IN RANDOMLY COUPLED CIRCLE MAPS

The dynamics of retrieval processes in a system composed of coupled ci rcle maps is studied by means of a statistical method and numerical si mulations. Phase patterns are embedded in coupling parameters so that the system may work as an associative memory system. A parameter, whic h is an amplification factor multiplied to all the coupling strengths, is introduced for investigating the effect of the strength of the cou pling nonlinearity on the behavior of the system concerned. The statis tical method provides a set of time evolution equations representing t he macroscopic behavior. It is found that the storage capacity is cons iderably enhanced by the introduced amplification factor. It is also s hown that the system exhibits macroscopic chaotic oscillations when th e strength of the coupling is sufficiently large. Moreover, the cluste ring is observed, as in other types of the globally coupled nonlinear systems.