A Coupled Nonlinear Oscillator Model for Emergent Process

Abstract

Research has seldom proposed concerning mathematical models of creative cognitive process such as insight or intuition of human brain activity. In this paper, the author proposes a new Lorenz model with two parameters, the temporal coefficient c and the spatial coefficient d. This spatiotemporal coupled Lorenz model with an excitatory coupling matrix or an inhibitory coupling matrix, which consists of c and d, is a device that synchronizes three 1-dimensional information codes. The c and d are parameters independent of each term's vector, and on-off intermittency observed in this model is controlled using the c and d. Results indicated that the presented model can be used as a device for description of emergent process.