©　2017,　Editorial　Department　of　Journal　of　Shenyang　University　of　Technology.　All　right　reserved.　Aiming　at　the　problem　that　the　extended　bonhoeffer-van　der　pol　oscillator　is　easily　affected　by　uncertainty　factors,　a　method　in　combination　with　both　nonlinear　dynamics　analysis　and　numerical　simulation　was　proposed,　and　the　influence　of　weak　perturbation　on　the　mixed-mode　oscillation　type　and　synchronization　behavior　was　investigated.　According　to　the　simulated　results,　it　is　noted　that　the　collapse　phenomenon　appears　because　the　mixed-mode　oscillation　in　several　types　is　affected　by　the　weak　perturbation.　It　is　theoretically　proved　that　the　coupled　strength　needed　to　reach　the　complete　synchronization　for　the　membrane　voltage　of　two　coupled　bonhoeffer-van　der　pol　oscillators　is　larger　than　that　for　the　slow　variable.　On　a　2D-parameter　plane,　the　parameter　range　for　the　membrane　voltage　to　reach　the　complete　synchronization　should　be　smaller.　The　results　indicate　that　compared　with　the　membrane　voltage,　the　slow　variable　is　easier　to　achieve　the　synchronization.　Furthermore,　a　linear　relationship　between　the　variables　is　presented.