“…The dimension analyses of AE time series gave evidence of low effective dimension in the system (Vassiliadis et al, 1990;Sharma et al, 1993). Further elaboration of this hypothesis resulted in creating space weather forecasting tools based on local-linear filters (Price et al, 1994;Vassiliadis et al, 1995;Valdivia et al, 1996), data-derived analogues (Klimas et al, 1997;Horton et al, 1999), and neural networks (Hernandes et al, 1993;Gleisner and Lundstedt, 1997;Weigel et al, 2002). The low dimensional organized behavior of the magnetosphere on global scales is also evident in many in situ observations of the large-scale features of substorms by many spacecrafts including INTERBALL and GEOTAIL missions (Petrukovich et al, 1998;Nagai et al, 1998;Ieda et al, 1998).…”