The　paper　investigates　a　locally　coupled　neural　oscillator　autonomous　system　qualitatively.　To　obtain　analytical　results,　we　choose　an　approximation　method　and　obtain　the　set　of　parameter　values　for　which　an　asymptotically　stable　limit　cycle　exists,　and　then　give　sufficient　conditions　on　the　coupling　parameters　which　can　guarantee　asymptotically　global　synchronization　of　oscillators　given　the　same　external　input.　The　above　results　are　potentially　useful　to　analytical　and　numerical　work　on　the　binding　problem　in　perceptual　grouping　and　pattern　segmentation.