A Strange Attractor of a System of 3 Disk-Dynamos and a Geomagnetic Attractor: Their Dimensions and K₂ Entropies

Abstract

A correlation dimension of a strange attractor for a system of 3 disk-dynamos and K₂ entropy of the chaotic motion are obtained. Furthermore, a method that gives a dimension from a small number of data points is devised and is checked by computer simulations. The method is applied to geomagnetic evolution for the Early Cretaceous and Late Jurassic and the dimension of a corresponding attractor is caluculated. The data is obtained from the model of Larson and Hilde who reanalized magnetic data observed in the Northwestern Pacific Ocean.