The Earth's magnetosphere exhibits substantial complexity in many of its ph
ysical properties. Particle populations wax and wane and magnetic fields fl
uctuate on virtually all observed time scales, from less than 1 minute to m
any days. Much of the variability of the magnetosphere and its interaction
with the ionosphere can be ascribed to the phenomena termed "substorms" and
"storms." Ample evidence is found that these geospace disturbances, though
exhibiting event-to-event differences, are remarkably repetitive and have
basic underlying similarities. The ring current development, radiation belt
particle changes, and basic substorm patterns suggest a high degree of coh
erence in the phenomena. Observations, modeling, and basic physical propert
ies are discussed here that point to a relatively ordered, low-dimensional
underlying dynamics in the magnetosphere. These results suggest that nonlin
ear processes and couplings introduce much of the observed complexity in ma
gnetospheric particle and field changes. (C) 1999 American Institute of Phy
sics. [S1070-664X(99)03311-X].