Dynamical analysis on duplicating-and-assimilating process: toward the understanding of mirror-neuron systems
1Department of Mathematics, Soongsil University, 369 Sangdo-ro, Dongjak-gu, Seoul 156-743, Korea. hkang@ssu.ac.kr
Abstract:
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.
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