Inthispaper,weinvestigatecoherenceresonance(CR)andnoise-inducedsynchronizationinHindmarsh-Rose(HR)neuralnetworkwiththreedifferenttypesoftopologies:regular,random,andsmall-world.ItisfoundthattheadditivenoisecaninduceCRinHRneuralnetworkwithdifferenttopologiesanditscoherenceisoptimizedbyapropernoiselevel.Itisalsofoundthatascouplingstrengthincreasestheplateauinthemeasureofcoherencecurvebecomesbroadenedandtheeffectsofnetworktopologyismorepronouncedsimultaneously.Moreover,wefindthatincreasingtheprobabilitypofthenetworktopologyleadstoanenhancementofnoise-inducedsynchronizationinHRneuronsnetwork.
