Nonlinear phenomena in a self-organizing model

With attention focused on the behavior of a system having human beings as constituent elements, we studied the dynamics of the system in terms of the process of its self-organization. A mathematic model describing a system which involves human beings is composed of three variables, i.e., interaction, cohesion, and quantity of organizational activity, and is represented by a self-organizing model in a specific formula, which is expressed by a nonlinear differential equation as shown in this paper. The process of self-organization that indicates changes in system status is analyzed using the Lyapunov spectrum through an attractor. In other words, by observing the dynamics of the self-organizing model based on nonlinear deterministic theory, we have clarified the chaotic, complex behavior demonstrated by the process of self-organization.