Simple　spikes　and　complex　spikes　are　two　distinguishing　features　in　neurons　of　the　cerebellar　cortex;　the　motor　learning　and　memory　processes　are　dependent　on　these　firing　patterns.　In　our　research,　the　detailed　firing　behaviors　of　Purkinje　cells　were　investigated　using　a　computer　compartmental　neuronal　model.　By　means　of　application　of　numerical　stimuli,　the　abundant　dynamical　properties　involved　in　the　multifarious　firing　patterns　(such　as　the　Max-Min　potentials　of　each　spike　and　period-adding/perioddoubling　bifurcations)　appeared.　Neuronal　interspike　interval　(ISI)　diagrams,　frequency　diagrams,　and　current-voltage　diagrams　for　different　ions　were　plotted.　Finally,　Poincar,　mapping　was　used　as　a　theoretical　method　to　markedly　distinguish　timing　of　the　above　firing　patterns.　Our　simulation　results　indicated　that　firing　of　Purkinje　cells　varies　dynamically　depending　on　different　electrophysiological　parameters　of　these　neurons,　and　the　respective　properties　may　play　significant　roles　in　the　formation　of　the　mentioned　characteristics　of　dynamical　firings　in　the　coding　strategy　for　information　processing　and　learning.