The linear prediction filters computed by Bargatze et al. [1985] have
resulted in a turning point in the study of solar wind-magnetosphere c
oupling. The evolution of the filters with varying activity provides a
clear demonstration that the coupling is nonlinear. The filters have
thus brought about the end of one era of linear correlative studies an
d the beginning of a new era of nonlinear dynamical studies. Two separ
ate, but complementary, approaches have emerged in these dynamical stu
dies, analogue modeling and data-based phase space reconstruction. The
reconstruction research has evolved from the original autonomous meth
od studies, which were not conclusive, to the more recent input-output
studies that are more appropriate for the solar wind-driven magnetosp
here and have produced more reliable results. At present it appears th
at the modeling and reconstruction approaches may be merged in future
attempts to produce analogue models directly from the results of the i
nput-output data-based methods. If this can be accomplished, it will c
onstitute a major step forward toward the goal of a low-dimensional an
alogue model of the magnetospheric dynamics derived directly from data
and interpreted in terms of magnetospheric physics. These development
s are reviewed in three sections: autonomous data analysis methods, an
alogue models, and input-output data analysis methods. The introductio
n provides sufficient information to read each of these sections indep
endently.