This doctoral dissertation includes two main topics: one is about the nonadiabatic acceleration of ions in the near-Earth plasma sheet, the other is about the geomagnetic pulsations driven by the decrease of solar wind dynamic pressure. The nonadiabatic acceleration of plasma sheet ions is important to understand the formation of ring current and substorm energetic injections. In the first part, we present case studies of nonadiabatic acceleration of plasma sheet ions observed by Cluster and Double Star TC-1 in the near-Earth magnetotail (e.g. at (X, Y, Z)=(-7.7, 4.6, 3.0) RE in the 30 October 2006 event), much closer to the Earth than previously reported. We find that the ion energy flux variations, which are characterized by a decrease ov...