Quasi-potential field: the simulation of motivation in complex physical structures

As a basic element of organisms, motivation shapes the action pattern. There are abundant biological and social systems that originate from motivations, which have attracted widespread attention. To pave the technical foundation of relevant researches, this paper presents an effective model to simulate the spatial distribution of motivation within complex environments, which is named as the quasi-potential field. Our modelling process includes three steps. First, we suggest an original algorithm for structure reduction, which can preserve all the topological properties of a given environment. Second, we define the quasi-potential value on the reduced structure, which works as the root of the whole field. Third, we extend the field from the root to all the available spaces. Thus, the motivation distribution in the real environment can be finally generated. In our paper, several simulation experiments are carried out to verify the effectiveness of our model, whose results are proved to be promising.