Pattern Separation Ability in Chaotic Quaternionic Associative Memory

In this paper, we examine the pattern separation ability in the Chaotic Quaternionic Associative Memory. The Chaotic Quaternionic Associative Memory is composed of chaotic quaternionic neuron model which is based on the chaotic neuron model and the quaternionic neuron model. If the parameters such as damping factor and scaling factor of refractoriness are set appropriately, the chaotic quaternionic neuron model can generate chaotic response. The Chaotic Quaternionic Associative Memory makes use of the dynamic association ability of the chaotic quaternionic neuron model in order to realize pattern separation. However, pattern separation ability is very sensitive to the parameters in chaotic quaternionic neuron model and the connection weight from external input. In this research, we examine the relation between pattern separation ability and the connection weight from external input in the Chaotic Quaternionic Associative Memory. We carried out a series of computer experiments and confirmed that the influence of the connection weight from external input to the pattern separation ability becomes large when the number of neurons increases.