An implantable multimodal neurostimulator having improved efficacy in treating epilepsy and other neurological disorders and processes of using that neurostimulator are described herein. The neurostimulator itself generally has two modes of electrical stimulation. The first involves delivering a non-responsive electrical stimulation signal that is applied to the central nervous system to reduce the likelihood of a seizure or other undesirable neurological even from occurring. Various waveform morphologies are described for non-responsive stimulation signals. A second mode involves delivering a responsive electrical stimulation signal when epileptiform waveforms are impending or extant. The responsive electrical stimulation signal is intended to terminate epileptiform activity, e.g., to desynchronize abnormally synchronous brain electrical activity.