Dynamical analysis on duplicating-and-assimilating process: toward the understanding of mirror-neuron systems.
In this paper, we mathematically study a particular process for assimilation in the brain. The research aims to establish a theoretical model at computational level of the mechanism in a cognitive process operated by the mirror-neuron system, to generate a multi-dimensional system from this model, and to analyze the fundamentals of the related cognitive process in terms of dynamical systems. Finally, to understand the interactions between two individual mirror-neuron systems, we formulate and examine coupled systems that are composed of two distinct systems. We also carry out various numerical simulations to illustrate the assimilation process.
Department of Mathematics, Soongsil University, 369 Sangdo-ro, Dongjak-gu, Seoul 156-743, Korea. hkang@ssu.ac.kr
Hunseok
H
Kang
Ichiro
I
Tsuda
D000818:Animals; D001921:Brain / Q000502:physiology*; D006801:Humans; D059167:Mirror Neurons / Q000502:physiology*; D008959:Models, Neurological; D008962:Models, Theoretical