Nonlinear Processes in Geophysics www.nonlin-processes-geophys.net 1023-5809 1607-7946 3 1 1996 10.5194/npg-3-13-1996 http://www.nonlin-processes-geophys.net/3/13/1996/ http://www.nonlin-processes-geophys.net/3/13/1996/npg-3-13-1996.html http://www.nonlin-processes-geophys.net/3/13/1996/npg-3-13-1996.pdf 13 22 0000-00-00 Scaling properties of paleomagnetic reversal sequence S. S. Ivanov Department of Geophysics, P.P. Shirshov Institute of Oceanology, Russian Academy of Sciences, 23, Krasikova St., 117218 The history of reversals of main geomagnetic field during last 160 My is analyzed as a sequence of events, presented as a point set on the time axis. Different techniques were applied including the method of boxcounting, dispersion counter-scaling, multifractal analysis and examination of attractor behaviour in multidimensional phase space. The existence of a crossover point at time interval 0.5-1.0 My was clearly identified, dividing the whole time range into two subranges with different scaling properties. The long-term subrange is characterized by monofractal dimension 0.88 and by an attractor, whose correlation dimension converges to 1.0, that provides evidence of a deterministic dynamical system in this subrange, similar to most existing dynamo models. In the short-term subrange the fractal dimension estimated by different methods varies from 0.47 to 0.88 and the dimensionality of the attractor is obtained to be about 3.7. These results are discussed in terms of non-linear superposition of processes in the Earth's geospheres.