A Coupled Nonlinear Oscillator Model for Emergent Systems (1st Report, Spatiotemporal Coupled Lorenz Model-based Architecture)
Tetsuji EMURA · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C · 2005
Numerous papers have been published concerning mathematical models of memory and learning of human brain activity. However, research has seldom-proposed mathematical models of creative cognition processes such as our idea generation. In this paper, the author proposes a new Lorenz model with two parameters, the temporal coupling coefficient c and the spatio coupling coefficient d. This spatiotemporal coupled Lorenz model is a model that synchronizes three nonlinear oscillators. The c and d are parameters independent of each term's vector, and on-off intermittency observed in this model is controlled by the c and d. In this study, the author discovers that self-organized various phase transtition penomena appear in this model in changing the values of c and d.