SCIPRESS FORMA
Forma, Vol. 9 (No. 2), pp. 75-81, 1994
Original Paper

Fractal Dimension of Attractors in the Climatic Change

Miki Arai

The Institute of Low Temperature Science, Hokkaido University, Sapporo 060, Japan

(Received May 17, 1993; Accepted December 10, 1993)

Keywords: Climatic Change, Attractor, Fractal Dimension in Phase Space

Abstract. The fractal dimension of attractors in phase space of a system gives an estimate of degree of freedom in the system. This idea has been applied to the longperiod climatic change by using temperature data sets of proxy records. In this study, we use the actual temperature data of the last 100 years. The existence of a climatic attractor was confirmed in some cases, whose fractal dimension was about 7. By comparing the results obtained from a white noise, it is concluded that the climatic change is apparently different from the white noise.